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    Av. Libertad 798 Of. 501 Edificio Libertad Fono/Fax (56-32) 269-0596 Via del Mar - Chile

    Tyngsboro, MA, USA San Luis Obispo, CA, USA Toronto, Canada Perth, Australia

    VALE S.A.

    BELO HORIZONTE (MG), BRAZIL

    FLOW TEST PROPERTY MEASUREMENTS TO IRON ORE SAMPLES VALE

    Report #68334-2

    Date: November 09, 2012

    Jenike and Johanson Chile S.A.

    ____________________________

    Oscar Angulo P., Mech. Eng.

    ____________________________Alfredo del Campo A., Eng.Sc.D.

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    CONTENT

    Page

    1.0 INTRODUCTION 1

    2.0 TESTS 2

    2.1 Characterization tests 3

    2.2 Flow property tests 11

    3.0 GENERAL CONSIDERATIONS FOR THE MATERIAL HANDLING,

    FLOW AND STORAGE OF THE MATERIAL TESTED 25

    3.1 Flow Patterns 25

    3.2 General comments for the functional design of storage andhandling systems for the materials tested 27

    3.3 Caution 27

    3.4 Conclusions 28

    APPENDIX I : Flow Test Results for Iron Ore

    Report JJC #68334-1

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    REPORT Report #68334-2

    TO Date: Nov. 09, 2012

    VALE S.A.

    BELO HORIZONTE (MG), BRAZIL Distribution:

    M. T. FerreiraJ.A. Rodrigues

    FLOW PORPERTY MEASUREMENTS TO IRON ORE SAMPLES

    VALE

    1.0

    INTRODUCTION

    Jenike and Johanson Chile S.A. (JJC) was contracted by Vale S.A. (VALE), to perform

    characterization and flow property tests with six samples of different iron ore products to

    be stored and handled in their projects. Representative samples of each one of the six

    materials to be tested were collected by the client, sent to our laboratory and tested at two

    moisture contents. Tests were performed for continuous flow (instantaneous) and for 24

    hours at rest.

    According to the scope of the technical services specified by the client this report only

    contains the critical presentation of the test results, including some general comments

    referred to the functional design of storage and handling systems for these products.

    Functional design recommendations for the future storage and handling installations for

    these products can be prepared in base of the results presented here, but they are beyond

    the scope of the work contracted at this point.

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    2.0 TESTS

    From the viewpoint of bulk solids handling, materials can gain or not cohesive strength

    when stored in bins, silos and/or stockpiles, depending on the combination of a series

    factors. Besides, different flow problems may occur depending on the geometry and

    location of the discharge hoppers, on the dimensions of the discharge outlets, and on the

    flow pattern that the material will develop when flowing (either mass flow, funnel flow or

    expanded flow, see appendix).

    The flowability of most materials is affected by the following variables:

    Particle size distribution,

    Maximum particle size and content of fines,

    Moisture content,

    Particle shape,

    Time of storage at rest,

    Consolidation pressure (height of the silo, bin and/or pile),

    Weather conditions (rain, freezing, ambient moisture, etc.),

    Presence of additives, clays, talcs and/or dusts,

    Chemical, lithological and/or mineralogical nature of the material

    The fine fraction of a material (the fraction under 1/4) determines if the material will

    present cohesive strength or not. VALE sent to our laboratory representative samples ofthe following products:

    1. HFR The Gaff

    2. Projeto ITMS

    3. GFI

    4. GFH Zogota

    5. GFH The Gaff

    6. AFH The Gaff

    According to the ASTM D 6128 standard series of tests were performed to each of the

    samples at two adjusted moisture levels. Tests were performed in order to characterize

    and determine the flow properties of the materials. The results of these tests are

    summarised in the following sections.

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    The client instructed JJC to adjust the moisture content of each named sample to two levels:

    10% & 13% (wet basis), except for Projeto ITMS that was required to be adjusted to 8.5% &

    12% (wet basis), respectively. In the case of the product HFR The Gaff the maximum

    moisture level was 11.7% because above this level it showed plastic behavior.

    All the tests were undertaken in our Laboratory at environmental temperature and relative

    humidity conditions. The results of the tests are presented in our report JJC #68334-1, which

    is attached as Appendix.

    2.1 Characterisation tests

    The samples were mixed, homogenized and divided. The moisture content (determined

    as received), particle size distribution and particle density were determined and the

    results are shown in Table 1.

    The moisture content of the material is defined by the relation (as percentage, in wet

    basis) of the H2O weight in the mix and the original weight of the sample; it was

    determined by drying up a small sample of each material in an oven at 105 5C until

    there was no more weight lost (Chilean Standard NCh.1515.Of79).

    The particle density corresponds to the real density of the material (weight by volume

    unit) and it was determined by the volumetric shifting in a pycnometer; the procedure isdescribed in the Chilean Standard NCh. 1532.Of80.

    Table 1 shows the denomination, weight, as received moisture content and the particle

    density of the samples.

    Table 1. Denomination, quantity, as received moisture content (wet basis) and

    particle density (p), of the samples.

    Denomination Quantity [kg] Moisture (%) p (kg/m3

    )HFR The Gaff 29.3 1.2 4970

    Projeto ITMS 46.5 0.6 3760

    GFI 20.5 1.0 4770

    GFH Zogota 30.0 1.3 4890

    GFH The Gaff 30.3 4.8 4760

    AFH The Gaff 30.2 5.6 4820

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    The particle size distribution was determined for each sample by using a set of ASTM E-

    11 sieves the results are shown in Table 2. This table includes the sieve openings and the

    weight fraction of material retained in each of them. Figures 1 to 6 show the size fractions

    obtained by sieving each sample. Figures 7 to 12 show the accumulated size distributionsof each of the six types of material tested.

    Table 2. Particle size distribution of the received samples.

    Weight percentage retained [%]

    Mesh

    Mesh

    opening

    size

    HFR The

    GAFF

    Projeto

    ITMSGFI

    GFH

    Zogota

    GFH The

    GAFF

    AFH The

    GAFF

    1/4" 6,3 mm 0 0 0 0 0 0

    #5 4 mm 0 6.3 0 0 0 0

    #10 2 mm 11.9 14.8 11.8 14.5 11.3 9.3

    #16 1,2 mm 7.5 5.8 8.1 11.0 7.4 7.7

    #30 600 m 7.9 4.8 11.0 11.6 8.1 7.1

    #50 300 m 7.4 3.2 10.9 8.9 8.7 6.6

    #100 150 m 10.3 6.6 14.1 10.0 12.0 10.2

    #200 75 m 19.6 24.9 22.8 14.0 20.9 29.0#325 45 m 16.0 20.4 13.7 13.7 14.3 13.8

    - #325 19.4 13.2 7.6 16.3 17.3 16.3

    Total 100 100 100 100 100 100

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    Figure 1. Particle size fractions of HFR The Gaff

    Figure 2. Particle size fractions of Projeto ITMS

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    Figure 3. Particle size fractions of GFI

    Figure 4. Particle size fractions of GFH Zogota

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    Figure 5. Particle size fractions of GFH The Gaff

    Figure 6. Particle size fractions of AFH The Gaff

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    Figure 7. Accumulated particle size distribution of HFR The Gaff

    Figure 8. Accumulated particle size distribution of Projeto ITMS

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    Figure 9. Accumulated particle size distribution of GFI

    Figure 10. Accumulated particle size distribution of GFH Zogota

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    Figure 11. Accumulated particle size distribution of GFH The Gaff

    Figure 12. Accumulated particle size distribution of AFH The Gaff

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    2.2 Flow property tests

    The following flow property tests were done at different moisture contents for each

    sample as agreed with the client. Time tests were done to simulate the maximum time at

    rest in which the materials might be stored in a silo under the pressure of the material

    stored above it.

    All the tests were undertaken in our Laboratory at environmental temperature and relative

    humidity conditions. The results of the tests are presented in the report JJC #68334-1,

    attached as Appendix of this report.

    2.2.1 Cohesive strength

    Tests at instantaneous conditions (continuous flow) and for 24 hours at rest under pressure

    were done to the six samples at different adjusted moisture contents. It is important to

    bear in mind that the flow function allows to know the cohesive strength gained by a

    material submitted to a given consolidating force, and based on this knowledge to

    determine the minimum dimensions of the discharge outlet which are required to ensure

    the reliable flow of material, avoiding arching and ratholing problems. Ratholing is the

    occurrence of a cylindrical and vertical hole formed in the mass of material stored in a

    bin, silo or pile, when the design of the storage system is not fitted to the flow properties

    of the stored material.

    In general, the results of the flow property tests show that the tested products gain

    cohesive strength in different degrees when submitted to a consolidating stress. Figure 13

    to 18 show the flow functions determined for the six samples at the different moisture

    levels. These figures include the limits corresponding to the classification for bulk solids

    proposed by A. Jenike ("Storage and Flow of Solids", Bulletin No. 123, University of

    Utah, 1964).

    It can be observed in Figures 13 to 18 that the iron ore samples tested vary mostly fromcohesive to very cohesive depending on their moisture content, consolidating

    pressure, and time at rest under pressure. For example, Figure 17 shows that GHF The

    Gaff is cohesive for high consolidating pressures and instant conditions, but it becomes

    very cohesive at low consolidating pressures after 24 hours at rest.

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    Table 3 shows the critical arching dimensions BC, BP and BF, and the critical rathole

    dimension DF for an effective head EH of 5 m for the products tested. For example, Table

    3 shows that for HFR The Gaff at 11.7% H2O, the minimum diameter of a circular

    opening BC in a converging hopper (i.e. conical or pyramidal hopper), must be at least 1.0m to avoid arching after 24 hours of rest under pressure, if mass flow is to be achieved.

    For the case of a hopper with a slotted outlet (i.e. wedge shaped), the minimum width of

    the discharge outlet BP must be at least 0.5 m to avoid arching after 24 hours at rest if

    mass flow is to be achieved. If mass flow is not achieved in a wedge shaped hopper, the

    diagonal of the slotted outlet DF must be equal or larger than 6 m to avoid ratholing for a

    5 m effective height. For a better understanding of the nomenclature used in this section

    please see the figures and explanations given in the appendix of our report JJC #68334-1,

    attached in the appendix.

    It can be observed from the values on Table 3 that the ratholing critical dimension DF

    tends to increase when the material is left at rest under pressure for 24 hours.

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    Figure 13. Flow function of HFR The Gaff

    Figure 14. Flow function of Projeto ITMS

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    Figure 15. Flow function of GFI

    Figure 16. Flow function of GFH Zogota

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    Figure 17. Flow function of GFH The Gaff

    Figure 18. Flow function of AFH The Gaff

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    Table 3. Minimum dimensions to avoid arching and ratholing problems, under

    gravity flow conditions, for the iron ore samples tested (Overpressure P factor =1.0).

    Mass Flow Funnel flow

    Arching dimensions

    [m]

    Rathole

    dimensions DF [m]Material

    Moisturecontent

    [%]

    Restingtime

    [hours]BC BP BF EH=5

    100

    24

    0.9

    1.2

    0.5

    0.6

    0.5

    0.6

    4

    5HFR The

    Gaff11.7

    0

    24

    0.6

    1.0

    0.3

    0.5

    0.3

    0.7

    2

    6

    8.50

    24

    1.2

    1.5

    0.6

    0.7

    0.8

    1.0

    6

    7Projeto

    ITMS 12 024

    1.51.9

    0.70.9

    0.91.3

    68

    100

    24

    0.6

    1.1

    0.3

    0.5

    0.5

    0.9

    10

    10GFI

    130

    24

    0.9

    1.1

    0.4

    0.5

    0.8

    1.7

    9

    11

    100

    24

    0.6

    0.8

    0.3

    0.4

    0.3

    0.5

    5

    6GFH

    Zogota13

    0

    24

    0.6

    0.9

    0.3

    0.4

    0.3

    0.6

    5

    7

    100

    24

    0.7

    1.1

    0.3

    0.5

    0.5

    0.7

    6

    6GFH The

    Gaff13

    0

    24

    0.7

    2.4

    0.4

    1.1

    0.4

    2.2

    6

    12

    100

    24

    0.7

    1.1

    0.3

    0.5

    0.5

    0.7

    5

    6AFH The

    Gaff13

    0

    24

    0.5

    2.7

    0.3

    1.2

    0.3

    ***

    4

    15

    (***) Denotes unassisted gravity flow cannot be ensured (simulated widths of up to 2.6 m).

    Where:

    BC: Minimum opening diameter recommended for a conic hopper.

    BP: Minimum opening width recommended for a wedge shaped hopper.

    BF: Minimum opening width recommended for a funnel flow hopper.

    DF: Critical rathole diameter.

    EH: Effective height of the material.

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    2.2.2 Compressibility

    Measurements of the compressibility of a bulk solid allow to determine the variation of its

    bulk density (apparent density) as a function of the effective height (consolidation

    pressure in a silo or a pile). Figures 19 to 24 show the bulk density, , as a function of the

    consolidation pressure, , for samples corresponding to the six types of materials tested at

    the different adjusted moisture contents. The slopes of the lines show that all the tested

    materials have some degree of compressibility. For example, HFR the Gaff at 10%

    moisture content shows a bulk density range from approx. 1890 kg/m3for a low pressure

    of 3 kPa (EH=0.2 m) up to approx. 2800 kg/m3for pressures of 150 kPa (EH=6 m) and

    approx. 3030 kg/m3for a higher pressure of 360 kPa (EH=12 m).

    Figure 19. Compressibility of HFR The Gaff

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    Figure 20. Compressibility of Projeto ITMS

    Figure 21. Compressibility of GFI

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    Figure 22. Compressibility of GFH Zogota

    Figure 23. Compressibility of GFH The Gaff

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    Figure 24. Compressibility of AFH The Gaff

    2.2.3 Wall friction

    Two important considerations in the mass flow silo and/or hopper design are: roughness

    and inclination of the hopper wall to force the material to slide and the opening

    dimensions to prevent arching and achieve the flow pattern desired.

    Wall friction tests at instantaneous conditions (continuous flow) and for 24 hours at rest

    under pressure were done to determine the minimum slope required by hopper walls to

    cause mass flow. Three wall materials were tested (agreed with the client): Mild carbon

    steel, A.R. Steel T-500, Astralloy-V liner.

    Table 4 shows the optimum slope angle Pto achieve mass flow in wedge shaped hoppers

    for tan outlet width BP of 0.6 meter. In a similar way, table 5 shows the maximum slope

    angle cto achieve mass flow in conical hoppers, for an outlet diameter BC of 0.6 meter.

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    Table 4. Optimum hopper angle pto obtain mass flow in wedge shaped or

    transition hoppers, for BP =0.6 m.

    (pis measured in degrees from the vertical).

    Optimum angle p[o]

    Wall surface testedMaterial

    Moisture

    content

    %

    Resting

    time

    [hours]Mild Carbon

    SteelA.R. Steel T-500

    Astralloy-

    V

    100

    24

    20

    8.*

    20

    8.*

    23

    18HFR The

    Gaff11.7

    0

    24

    27

    11

    25

    10.*

    26

    17

    8.50

    24

    21

    12

    18

    14

    20

    16ProjetoITMS

    120

    24

    22

    8.*

    20

    8.*

    22

    12

    100

    24

    15

    13

    17

    13

    16

    13GFI

    130

    24

    21

    15

    21

    16

    21

    17

    100

    24

    20

    10.*

    20

    10.*

    20

    17GFH

    Zogota

    13

    0

    24

    22

    17

    20

    17

    23

    21

    100

    24

    21

    8.*

    22

    8.*

    22

    20GFH The

    Gaff13

    0

    24

    26

    18

    26

    12

    28

    25

    100

    24

    20

    9.*

    21

    10

    22

    18AFH The

    Gaff13

    0

    24

    25

    20

    24

    10.*

    27

    23

    (*) Flow along the wall is questionable.

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    From Tables 4 and 5 it can be seen that for these products, the Astralloy-V liner is a

    more effective lining material, specially in some cases. It can be noticed from the results

    shown in Tables 4 and 5 that wedge shaped hoppers are more convenient, since they

    require lower height than conical hoppers. For example, the test results show that toachieve mass flow, the slope of the side wall in a wedge shaped hopper must be p< 17

    from vertical, if Astralloy-V liner is used as wall material in a bin containing HFR The

    Gaff with 11.7% moisture content, staying at rest a maximum of 24 hours, and using a

    0.6m wide outlet. If a conical hopper with a 0.6 m outlet diameter were used in the same

    conditions, a wall angle c< 4 from vertical would be necessary to obtain mass flow, i.e.

    a more height demanding design would be required.

    Table 5. Maximum hopper angle

    cto obtains mass flow in conic hoppers, for BC=0.6 m.(cis measured in degrees from the vertical).

    Maximum angle c[o]

    Wall surface testedMaterial

    Moisture

    Content

    %

    Resting

    time

    [hours] Mild Carbon SteelA.R. Steel T-

    500Astralloy-V

    100

    24

    10

    0.

    10

    0.*

    11

    6HFR The

    Gaff11.7

    0

    24

    14

    1

    12

    0.*

    13

    4

    8.50

    24

    9

    0

    8

    0

    9

    4Projeto

    ITMS12

    0

    24

    7

    0.*

    6

    0.*

    5

    0.*

    100

    24

    5

    0.*

    7

    0.*

    5

    1GFI

    130

    24

    10

    3

    10

    0

    10

    5

    100

    24

    9

    0.*

    9

    0.*

    10

    6GFHZogota

    130

    24

    10

    3

    9

    1

    12

    8

    100

    24

    9

    0

    10

    0.*

    10

    7GFH The

    Gaff13

    0

    24

    14

    2

    14

    0

    16

    12

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    (*) Flow along the wall is questionable.

    2.2.4 Minimum opening

    Once the lining material of the hopper and its inclination are determined, it is important to

    consider the right dimensions of the hopper opening for the material discharge. This

    opening is needed to be dimensioned to:

    1) Prevent the arching formation due to the cohesion of the material.

    2) Prevent the arching formation due to the particle interlocking.

    3) Obtain the flow of the material desired.

    According to the results shown in Table 3, the materials tested tend to form an arch due to

    their cohesiveness, both for instantaneous and after 24 hours at rest under pressure (for the

    particle size distribution and conditions tested).

    To prevent the formation of cohesive arches, the minimum opening BP recommended, fora wedge shaped mass flow hopper, should be equal or larger than the BP values shown in

    Table 3, whereas the length of the opening should be at least 3 times BP. In addition, the

    hopper should also be dimensioned to prevent the formation of ratholes, and to reach the

    desired flow rate of material. Usually, an interface for mass flow is necessary below the

    hopper discharge opening. More information about this topic can be found in article

    Interfacing Belt Feeders and Hoppers to Achieve Reliable Operation available in our

    website www.jenike.com.

    2.2.5 Chute tests

    Chute tests were done for the six samples at different moisture contents over surfaces of

    Mild carbon steel, A.R. Steel T-500 and Astralloy-V liners; in order to determine the

    minimum slope angle that a flat surface should have to keep the flow of material after

    impact, as a function of the impact pressure. Table 6 shows the results obtained for an

    100

    24

    8

    0.*

    9

    0.*

    10

    7AFH The

    Gaff13

    0

    24

    14

    8

    13

    1.*

    16

    8

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    impact pressure of 7.2 kPa. The results show that for these materials, the design of chutes

    must be done in such a way that the impact pressures are kept in very low values, keeping

    incidence angles low, and/or taking advantage of the incoming velocity to redirect the

    material.

    Table 6. Minimum chute angle to obtain material flowing after impact

    (chuteis measured in degrees from the horizontal).

    Minimum chute angle chute[o]

    Wall sample testedMaterial

    Moisture

    content

    %Mild Carbon

    Steel

    A.R. Steel T-

    500Astralloy-V

    10 72o 78

    o 72

    o

    HFR The Gaff11.7 55

    o 58

    o 60

    o

    8.5 90o 90

    o 90

    o

    Projeto ITMS11.7 76

    o 77

    o 77

    o

    10 89o 90

    o 88

    o

    GFI13 89

    o 84

    o 88

    o

    10 65o 67

    o 67

    o

    GFH Zogota13 54

    o 56

    o 60

    o

    10 65o 69

    o 65

    o

    GFH The Gaff 13 70o 71o 83o

    10 79o 81

    o 81

    o

    AFH The Gaff13 70

    o 75

    o 75

    o

    If the liner material to be used in a chute is different from the chute materials tested, then

    we recommend sending samples of the liner material to our laboratory to run the

    corresponding tests in order to check that its roughness is acceptable, and to verify that the

    adhesion phenomenon is not produced.

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    3.0 GENERAL RECOMMENDATIONS TO STORE AND HANDLE THE TESTED

    MATERIALS

    Bulk materials may or may not gain cohesive strength when handled in bins, silos andstockpiles depending on the combination of several factors, such as: height of the silo or

    pile, percentage and size distribution of fines, moisture content, storage time at rest,

    presence of clays or talcs, and chemical nature of the product.

    If the material does gain cohesive strength, like the iron ore samples tested, then problems

    of arching or ratholing may occur - depending on the shape of the hopper, dimensions of

    the outlet, wall angles, wall liner, and the flow pattern developed by the bulk solid in the

    bin or pile.

    3.1 Flow patterns

    From the standpoint of flow there are three types of flow patterns: funnel flow, mass flow

    and expanded flow, as it is shown in Figure 25.

    Funnel flow Mass flow Expanded flow

    Figure 25. Flow patterns.

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    Funnel flowoccurs when the hopper is not sufficiently steep and smooth to force material

    to slide along the walls or when the outlet is not fully effective. In a funnel flow bin or

    pile, solids flow toward the outlet through a channel that forms within stagnant solids.

    With a non free-flowing material, the channel expands upward from the outlet to adiameter that approximates the largest dimension of the effective outlet. When the outlet

    is fully effective, this dimension is the diameter of the outlet if it is circular, or the

    diagonal if it is square or slotted (rectangular). Higher within the mass, the flow channel

    will remain almost vertical, forming a pipe, if its diameter is less than the critical rathole

    diameter. With a free-flowing material, the flow channel expands at an angle, which

    depends on the effective angle of internal friction of the material. The resulting flow

    channel is generally circular with a diameter in excess of the outlet diameter or diagonal.

    When material is withdrawn from a funnel flow silo or stockpile, a flow channel develops

    right above the outlet and material sloughs off of the top free surface sliding into the flow

    channel. With sufficient cohesion, sloughing may cease, allowing the channel to empty

    out completely and form a stable rathole. It is very difficult to break up the stable

    material around a rathole by external means such as poking or vibration. Depending on

    the steepness and smoothness of the hopper walls, a bin may or may not empty

    completely. In general, funnel flow silos and stockpiles are only suitable for coarse, free-

    flowing or slightly cohesive, non-degrading materials when segregation is not important.

    Mass flow, on the other hand, occurs when the hopper is sufficiently steep and smooth to

    force the material to slide along the hopper walls. All the material in a mass flow bin is in

    motion whenever any is withdrawn. Shallow valleys are not permitted and the outlet must

    be fully effective. Ratholes cannot form in a mass flow bin, thus eliminating stagnant

    regions. Mass flow bins are recommended for handling cohesive materials, powders,

    materials which degrade with time and when segregation needs to be minimized.

    Expanded flow is a combination of the two previous flow patterns, in which the lower

    part of a funnel flow silo or stockpile operates in mass flow. The mass flow hopper should

    expand the flow channel to a diagonal or diameter equal to or greater than the critical

    rathole diameter, thus eliminating the likelihood of ratholing. Multiple mass flow hoppers

    can be placed close enough to cause a combined flow channel in excess of the critical

    rathole diameter. Expanded flow silos and stockpiles are recommended for the storage of

    large quantities of non-degrading materials, and for modifying existing funnel flow silos

    to correct problems caused by arching, ratholing and flushing.

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    It is important to point out that feeders and/or gates play an important role in the correct

    operation of bins, silos and hoppers. Also, bin and hopper outlets must be fully effective

    with properly designed interfaces to achieve mass flow, as we will see later. If a gate like

    an emergency spile bar shutoff pin gate valve is used below a mass-flow hopper, thegate must be operated either fully open or fully closed. It is critical that spile bars do not

    protrude into the material flow during normal operation.

    3.2 General comments for the functional design of storage and handling systems for the

    materials tested

    According to the test results the iron ore samples tested, at the adjusted moisture contents

    specified by the client, show different degrees of tendency to arch if outlet dimensions are

    smaller than the values shown in Table 3.Achieving a mass flow or expanded flow design

    is feasible because the measured wall friction angles p, necessary to achieve mass flow

    in wedge shaped or transition hoppers, are not too restrictive, specially for wedge shaped

    or transition hoppers. Depending on the requirements for live capacity and discharge flow

    rates, the geometry of the silo and the characteristics of the discharge system have to be

    determined taking in consideration the flow properties presented in this report.

    The scope of the present report does not include the functional design of any storageand handling system. However in the near future Jenike and Johanson Chile S.A.

    could be asked to develop these type of designs based on the test results reported

    here.

    3.3 Caution

    Our recommendations are based on samples and information provided by the Client, and

    upon expected operation conditions as described by the Client. We assume that the

    information furnished by the Client is accurate and complete, that the samples and expected

    operation conditions are representative of those which will be obtained in the completed

    facility, and that the Client will carry out routine tests and maintenance during periods of

    operation in accordance with prudent industrial practice.

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    Bulk materials of inferior flowability (e.g. more cohesive with larger critical arching and

    ratholing dimensions) when transported will behave differently than the materials referred to

    in this report.

    3.4 Conclusions

    Diverse tests were undertaken to determine the characteristics and flow properties of the

    sample of the fine fraction (under mesh) of iron ores provided by VALE S.A., from

    the point of view of bulk solids handling and storage.

    In general, the flow property test results show that the fine fractions of the iron ore

    samples tested are cohesive if handled continuously (instantaneous flow) at the moisture

    content tested. They can become very cohesive if flow is intended after 24 hours of

    storage and under pressure, especially a low consolidating pressures.

    In addition, the iron ore samples tested exhibit a strong tendency to form cohesive arches

    and stable ratholes when handled in funnel flow silos, mainly due to the high moisture

    contents and high amounts of fine particles contained. Also, these materials are very

    compressible.

    This report highlights the critical flow properties of the iron ore samples tested. These

    data should be used in a next stage to design the systems that will safely and effectively

    handle, store and feed these materials in the silos and transfer chutes to be installed in the

    projects, including their corresponding reclaim systems (not included in this report).

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    APPENDIX I :

    Flow Test Results for Iron Ore

    Report JJC #68334-1

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    VALE S.A.

    BELO HORIZONTE (MG), BRAZIL

    FLOW TEST RESULTS

    FOR

    IRON ORE SAMPLES

    Report #68334-1Date: November 5, 2012 Jenike and Johanson Chile S.A.

    Prepared by:

    ___________________________lvaro Sierra A.

    Reviewed by:

    ___________________________Alfredo del Campo A. Eng.Sc.D.

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    CONTENTS

    page

    INTRODUCTION 1

    GENERAL COMMENTS 2

    SUMMARY OF TESTS PERFORMED 3

    RESULTS OF TESTS 4

    APPENDIX A1

    SELECTION OF BIN AND FEEDER A1

    Types of Bins A1

    Mass Flow A1

    Funnel Flow A1

    Expanded Flow A2

    Feeders A2

    DISCUSSION OF TEST REPORT DATA A3

    Moisture A3

    Section I - Bin Dimensions for Dependable Flow A3

    Calculation of Effective Head A4Calculation of P Factors A5

    Vibration A5

    Impact Pressure from Fall into a Bin A6

    External Loading A6

    Liquid or gas Flow Loading A6

    Limits on Bin Sizes A6

    Section II - Bulk Density A7

    Section III - Maximum Hopper Angles for Mass Flow A7

    Section IV - Critical Solids Flow Rate A8

    Section V - Air Permeability Test Report A9

    Section VI - Chutes A10

    GLOSSARY OF TERMS AND SYMBOLS A12

    TECHNICAL PAPERS REFERENCES A15

    FIGURES A17

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    INTRODUCTION

    This test report describes the flow properties of your material(s).

    These properties are expressed in terms of bin dimensions required to ensure dependableflow, maximum hopper angle for mass flow, and if tested, minimum chute angles and

    critical discharge rates through bin outlets. All dimensions represent limiting conditions for

    flow. Therefore, larger outlets, steeper hoppers and chutes, and flow rates below critical are

    acceptable. If your material is one, which will compact excessively in a large, bin, the

    largest diameter or width and height of the cylinder to limit this compaction is also given.

    In case you are unfamiliar with the use of this type of data, an Appendix follows the main

    body of the report. Most of the symbols used in the report are shown in figures in pages

    A17 to A19. A Glossary of Terms and Symbols is provided on pages A12 to A14. Theconcepts of gravity flow of solids and examples of application of solids flow data are

    further illustrated in technical papers available upon request.

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    GENERAL COMMENT

    Six samples of Iron Orefrom VALE, Brazil were received in our laboratory (on August

    21, 2012 the two first, and on October 01, 2012 the other four) to perform flow property

    tests. The samples were identified as follows and the As received moisture content wasdeterminated.

    Name Weight Moisture(wet basis)

    HFR The Gaff 29.3 kg 1.0%

    Projeto ITMS 46.5 kg 8.5 %

    GFI 20.5 kg 1.0%

    GFH Zogot 30.0 kg 1.3%

    GFH The Gaff 30.3 kg 4.8%

    AFH The Gaff 30.2 kg 5.6%

    The samples were prepared for testing by adjusting at two different levels of moisture

    content: 10% and 11.7% on HFR The Gaff, 8.5% and 12% on Projeto ITMS and 10%

    and 13% for the other four. Tests performed on the samples included instantaneous flow

    function, 24 hours flow function, instantaneous wall friction tests, 24 hours wall friction

    tests (on three wall materials:Mild Carbon Steel Plate Aged, A.R. Steel T-500 and

    Astralloy V), chute tests on the same wall liners, compressibility, particle size analysis

    and particle density determination.

    All tests were performed in our laboratory at ambient conditions of temperature and

    relative humidity.

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    SUMMARY OF TESTS PERFORMED

    This report presents various flow property test results as indicated for the

    following material(s) :

    BULK MATERIAL MOISTUREMATERIAL ID # DESCRIPTION PARTICLE SIZE CONTENT

    1 11459 HFR The Gaff As recd 10% (wet basis)2 11460 HFR The Gaff As recd 11.7% (wet basis

    3 11461 Projeto ITMS As recd 8.5% (wet basis) 4 11462 Projeto ITMS As recd 12% (wet basis)

    5 11464 GFI As recd 10% (wet basis)6 11470 GFI As recd 13% (wet basis)7 11465 GFH Zogota As recd 10% (wet basis)8 11471 GFH Zogota As recd 13% (wet basis)9 11466 GFH The Gaff As recd 10% (wet basis)

    10 11472 GFH The Gaff As recd 13% (wet basis)11 11467 AFH The Gaff As recd 10% (wet basis)12 11473 AFH The Gaff As recd 13% (wet basis)

    BULK TIME TEMPERATURE SIEVE BIN BULK HOPPER CHUTE FLOW OTHERMATERIAL hr deg C ANALYSIS DIM DENSITY ANGLES ANGLES RATE

    1 0.0 22 X X X X X24.0 22 X X

    2 0.0 22 X X X X24.0 22 X X

    3 0.0 22 X X X X X24.0 22 X X

    4 0.0 22 X X X X24.0 22 X X

    5 0.0 22 X X X X X24.0 22 X X

    6 0.0 22 X X X X24.0 22 X X

    7 0.0 22 X X X X X24.0 22 X X

    8 0.0 22 X X X X24.0 22 X X

    9 0.0 22 X X X X X24.0 22 X X

    10 0.0 22 X X X X24.0 22 X X

    3

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    BULK TIME TEMPERATURE SIEVE BIN BULK HOPPER CHUTE FLOW OTHERMATERIAL hr deg C ANALYSIS DIM DENSITY ANGLES ANGLES RATE

    11 0.0 22 X X X X X24.0 22 X X

    12 0.0 22 X X X X24.0 22 X X

    4

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 0.9 0.51.25 1.0 0.5

    1.50 1.1 0.52.00 1.3 0.6

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 4 meters

    Critical Rathole Diameters, DF (meters)1.00 0.5 1.2 1.2 1.4 2 3 31.25 0.61.50 0.62.00 0.9

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

    5

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.2 0.61.25 1.3 0.6

    1.50 1.4 0.72.00 1.8 0.9

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 4 meters

    Critical Rathole Diameters, DF (meters)1.00 0.6 1.5 1.5 2 2 3 41.25 0.71.50 0.82.00 1.3

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 3. 6. 17. 36. 78. 168. 363. 783.

    GAMMA (kg/m^3) 1886.1 2033.6 2246.5 2422.3 2611.8 2816.1 3036.4 3273.9

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 1758.2 and 2609.3 kg/m^3

    GAMMA0 = 1626.55 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.09801

    Minimum bulk density GAMMAM =1505.3 kg/m^3

    PARTICLE DENSITYThe weight density of an individual particle of the solid isCAPGAMMA = 4970.0 kg/m^3

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION IIA. SIEVE ANALYSIS

    DESCRIPTION : siene analysis

    U.S. SIEVE OPENING SIZE % WT. RETAINEDNUMBER (inches) (mm)

    #5 0.1570 3.988 0.00

    #10 0.0787 1.999 11.90

    #16 0.0469 1.191 7.47

    #30 0.0234 0.594 7.87

    #50 0.0117 0.297 7.40

    #100 0.0059 0.150 10.32

    #200 0.0029 0.074 19.62

    #325 0.0017 0.043 16.02

    PAN 19.40

    100.00

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.15 0.30 0.61 1.22 2.16Width of Oval (meters) 0.06 0.08 0.17 0.34 0.65 1.13

    SIGMA (kPa) 0.7 1.0 2. 5. 11. 21.SIGMA1 (kPa) 1.0 1.3 3. 6. 15. 30.

    Wall Friction AnglePHI-PRIME (deg) 30. 30. 30. 30. 30. 30.

    Hopper AnglesTHETA-P (deg) 20. 20. 20. 20. 20. 20.THETA-C (deg) 10. 10. 10. 10. 10. 10.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.39 0.61 1.06Width of Oval (meters) 0.22 0.35 0.59

    SIGMA (kPa) 2.1 3.6 8.SIGMA1 (kPa) 4.2 6.9 14.

    Wall Friction AnglePHI-PRIME (deg) 48. 44. 41.

    Hopper AnglesTHETA-P (deg) 7.* 8. 8.*THETA-C (deg) 0.* 0. 0.*

    * Flow along walls is questionable.

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.15 0.30 0.61 1.22 2.17Width of Oval (meters) 0.06 0.08 0.17 0.34 0.65 1.13

    SIGMA (kPa) 0.7 1.0 2. 5. 11. 21.

    SIGMA1 (kPa) 1.0 1.3 3. 6. 15. 30.

    Wall Friction AnglePHI-PRIME (deg) 30. 30. 30. 30. 30. 30.

    Hopper AnglesTHETA-P (deg) 20. 20. 20. 20. 20. 20.THETA-C (deg) 10. 10. 10. 10. 10. 10.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.39 0.61 1.06Width of Oval (meters) 0.22 0.35 0.59

    SIGMA (kPa) 2.1 3.5 8.SIGMA1 (kPa) 4.2 7.0 14.

    Wall Friction AnglePHI-PRIME (deg) 49. 47. 46.

    Hopper AnglesTHETA-P (deg) 7.* 7.* 8.*THETA-C (deg) 0.* 0.* 0.*

    * Flow along walls is questionable.

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.13 0.30 0.61 1.22 2.11Width of Oval (meters) 0.07 0.17 0.34 0.65 1.10

    SIGMA (kPa) 0.7 2.1 5. 11. 21.

    SIGMA1 (kPa) 1.1 2.9 6. 15. 29.

    Wall Friction AnglePHI-PRIME (deg) 37. 31. 29. 28. 28.

    Hopper AnglesTHETA-P (deg) 15. 22. 23. 23. 23.THETA-C (deg) 3. 9. 11. 12. 13.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.34 0.61 0.96Width of Oval (meters) 0.19 0.34 0.52

    SIGMA (kPa) 2.1 4.3 8.SIGMA1 (kPa) 3.4 6.3 11.

    Wall Friction AnglePHI-PRIME (deg) 38. 34. 33.

    Hopper AnglesTHETA-P (deg) 14. 18. 18.THETA-C (deg) 2. 6. 7.

    11

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    BULK MATERIAL 1: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.3 37 to 38 43.Plate, Aged 1.0 40 to 41 46.

    2.4 50 to 51 56.4.4 60 to 61 66.7.2 65 to 67 72.

    A.R. Steel T-500 22 22 0.0 0.3 39 to 40 45.1.0 42 to 43 48.2.4 52 to 53 58.4.4 63 to 65 70.7.2 71 to 73 78.

    Astralloy V 22 22 0.0 0.3 37 to 38 43.1.0 41 to 43 48.2.4 52 to 53 58.4.4 61 to 63 68.7.2 66 to 67 72.

    12

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 0.6 0.31.25 0.7 0.3

    1.50 0.7 0.42.00 0.9 0.4

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 3 meters

    Critical Rathole Diameters, DF (meters)1.00 0.3 0.7 0.8 1.0 1.3 2 21.25 0.41.50 0.42.00 0.6

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.0 0.51.25 1.6 0.7

    1.50 3.6 1.42.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 3 meters

    Critical Rathole Diameters, DF (meters)1.00 0.7 0.8 1.0 1.5 2 4 41.25 1.61.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 1.9 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 3.8 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 4. 8. 20. 40. 83. 171. 351. 723.

    GAMMA (kg/m^3) 2457.0 2527.7 2624.2 2699.7 2777.3 2857.2 2939.3 3023.8

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 2415.9 and 2807.5 kg/m^3

    GAMMA0 = 2291.50 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.03929

    Minimum bulk density GAMMAM =1991.1 kg/m^3

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.10 0.15 0.30 0.61 1.22 1.74Width of Oval (meters) 0.06 0.08 0.17 0.33 0.63 0.89

    SIGMA (kPa) 0.8 1.3 3. 6. 14. 21.SIGMA1 (kPa) 1.3 1.8 4. 8. 18. 27.

    Wall Friction AnglePHI-PRIME (deg) 38. 33. 29. 26. 25. 25.

    Hopper AnglesTHETA-P (deg) 14. 19. 25. 27. 27. 27.THETA-C (deg) 2. 7. 12. 14. 16. 17.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.31 0.61 0.84Width of Oval (meters) 0.18 0.34 0.45

    SIGMA (kPa) 2.2 5.2 8.SIGMA1 (kPa) 4.3 8.9 13.

    Wall Friction AnglePHI-PRIME (deg) 45. 38. 37.

    Hopper AnglesTHETA-P (deg) 7. 11. 11.THETA-C (deg) 0. 1. 2.

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.15 0.30 0.61 1.22 1.76Width of Oval (meters) 0.07 0.09 0.17 0.33 0.63 0.90

    SIGMA (kPa) 0.8 1.1 3. 6. 14. 21.

    SIGMA1 (kPa) 1.6 2.0 4. 8. 19. 28.

    Wall Friction AnglePHI-PRIME (deg) 48. 43. 33. 29. 26. 26.

    Hopper AnglesTHETA-P (deg) 7.* 9. 20. 24. 25. 26.THETA-C (deg) 0.* 0. 7. 12. 14. 15.

    * Flow along walls is questionable.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.32 0.61 0.85Width of Oval (meters) 0.18 0.34 0.46

    SIGMA (kPa) 2.2 4.9 8.SIGMA1 (kPa) 4.3 9.1 14.

    Wall Friction AnglePHI-PRIME (deg) 57. 46. 41.

    Hopper AnglesTHETA-P (deg) 7.* 8.* 10.*THETA-C (deg) 0.* 0.* 1.*

    * Flow along walls is questionable.

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.30 0.61 1.22 1.75Width of Oval (meters) 0.07 0.17 0.33 0.63 0.90

    SIGMA (kPa) 0.9 2.7 6. 14. 21.

    SIGMA1 (kPa) 1.6 3.7 8. 19. 28.

    Wall Friction AnglePHI-PRIME (deg) 42. 31. 28. 26. 25.

    Hopper AnglesTHETA-P (deg) 10. 22. 25. 26. 27.THETA-C (deg) 0. 10. 13. 15. 16.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.32 0.78Width of Oval (meters) 0.18 0.42

    SIGMA (kPa) 2.2 7.7SIGMA1 (kPa) 4.3 11.4

    Wall Friction AnglePHI-PRIME (deg) 46. 32.

    Hopper AnglesTHETA-P (deg) 7.* 17.THETA-C (deg) 0.* 7.

    * Flow along walls is questionable.

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    BULK MATERIAL 2: HFR The Gaff

    PARTICLE SIZE As recd

    MOISTURE CONTENT 11.7% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.4 39 to 41 46.Plate, Aged 1.1 42 to 43 48.

    2.5 44 to 45 50.4.5 45 to 47 52.7.3 49 to 50 55.

    A.R. Steel T-500 22 22 0.0 0.4 41 to 43 48.1.1 43 to 44 49.2.5 44 to 45 50.4.5 46 to 47 52.7.3 51 to 53 58.

    Astralloy V 22 22 0.0 0.4 42 to 43 48.1.1 43 to 45 50.2.5 45 to 46 51.4.5 52 to 53 58.7.3 54 to 55 60.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.2 0.61.25 1.5 0.7

    1.50 1.9 0.82.00 +++ 1.9

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 0.8 1.5 1.5 2 3 4 61.25 1.11.50 1.92.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 2.3 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 4.6 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.5 0.71.25 1.9 0.9

    1.50 2.6 1.12.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 1.0 2 2 2 3 5 71.25 1.61.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 2.5 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 5.0 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 2. 4. 12. 27. 59. 130. 284. 622.

    GAMMA (kg/m^3) 1337.9 1464.9 1651.5 1808.3 1979.9 2167.9 2373.7 2599.1

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 1247.2 and 2020.5 kg/m^3

    GAMMA0 = 1168.88 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.11571

    Minimum bulk density GAMMAM =1077.6 kg/m^3

    PARTICLE DENSITYThe weight density of an individual particle of the solid isCAPGAMMA = 3760.0 kg/m^3

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    SECTION IIA. SIEVE ANALYSIS

    DESCRIPTION : sieve analysis

    U.S. SIEVE OPENING SIZE % WT. RETAINEDNUMBER (inches) (mm)

    1/4" 0.2500 6.350 0.00

    #5 0.1570 3.988 6.27

    #10 0.0787 1.999 14.84

    #16 0.0469 1.191 5.84

    #30 0.0234 0.594 4.83

    #50 0.0117 0.297 3.16

    #100 0.0059 0.150 6.59

    #200 0.0029 0.074 24.95

    #325 0.0017 0.043 20.39

    PAN 13.15

    100.00

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.16 0.30 0.61 1.22 2.86Width of Oval (meters) 0.09 0.17 0.34 0.67 1.51

    SIGMA (kPa) 0.6 1.4 3. 7. 21.SIGMA1 (kPa) 1.0 2.1 4. 10. 29.

    Wall Friction AnglePHI-PRIME (deg) 39. 34. 31. 30. 29.

    Hopper AnglesTHETA-P (deg) 13. 19. 21. 21. 21.THETA-C (deg) 1. 7. 9. 11. 11.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.46 0.61 1.34Width of Oval (meters) 0.27 0.35 0.74

    SIGMA (kPa) 2.0 2.8 7.SIGMA1 (kPa) 3.6 4.8 12.

    Wall Friction AnglePHI-PRIME (deg) 42. 40. 38.

    Hopper AnglesTHETA-P (deg) 10. 12. 12.THETA-C (deg) 0. 0. 1.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.14 0.30 0.61 1.22 2.96Width of Oval (meters) 0.08 0.17 0.34 0.67 1.57

    SIGMA (kPa) 0.6 1.5 3. 7. 21.

    SIGMA1 (kPa) 0.9 2.0 4. 10. 31.

    Wall Friction AnglePHI-PRIME (deg) 32. 32. 32. 32. 32.

    Hopper AnglesTHETA-P (deg) 18. 18. 18. 18. 18.THETA-C (deg) 8. 8. 8. 8. 8.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.48 0.61 1.30Width of Oval (meters) 0.28 0.35 0.72

    SIGMA (kPa) 2.0 2.8 7.SIGMA1 (kPa) 3.9 4.9 12.

    Wall Friction AnglePHI-PRIME (deg) 44. 41. 36.

    Hopper AnglesTHETA-P (deg) 8. 11. 15.THETA-C (deg) 0. 0. 4.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.15 0.30 0.61 1.22 2.88Width of Oval (meters) 0.09 0.17 0.34 0.67 1.52

    SIGMA (kPa) 0.6 1.4 3. 7. 21.

    SIGMA1 (kPa) 1.0 2.1 4. 10. 30.

    Wall Friction AnglePHI-PRIME (deg) 37. 33. 31. 30. 30.

    Hopper AnglesTHETA-P (deg) 15. 20. 20. 20. 20.THETA-C (deg) 3. 7. 9. 10. 10.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.43 0.61 1.28Width of Oval (meters) 0.24 0.34 0.70

    SIGMA (kPa) 2.0 3.0 7.SIGMA1 (kPa) 3.2 4.6 11.

    Wall Friction AnglePHI-PRIME (deg) 38. 36. 34.

    Hopper AnglesTHETA-P (deg) 15. 16. 17.THETA-C (deg) 2. 4. 6.

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    BULK MATERIAL 3: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 8.5% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.2 39 to 40 45.Plate, Aged 0.9 42 to 43 48.

    2.3 59 to 60 65.4.4 73 to 74 79.7.1 89 to 90 90.

    A.R. Steel T-500 22 22 0.0 0.2 37 to 38 43.0.9 46 to 47 52.2.3 64 to 66 71.4.4 80 to 81 86.7.1 89 to 90 90.

    Astralloy V 22 22 0.0 0.2 38 to 39 44.0.9 45 to 47 52.2.3 66 to 67 72.4.4 83 to 84 89.7.1 89 to 90 90.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.5 0.71.25 1.6 0.8

    1.50 1.9 0.92.00 2.9 1.3

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 0.9 2 2 2 3 4 61.25 1.01.50 1.32.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 2.1 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.9 0.91.25 2.3 1.1

    1.50 3.2 1.42.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 1.3 2 2 3 4 5 81.25 1.81.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 2.6 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 5.3 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 2. 5. 14. 30. 64. 139. 301. 652.

    GAMMA (kg/m^3) 1516.6 1643.0 1826.4 1978.6 2143.5 2322.1 2515.6 2725.3

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 1475.9 and 2184.3 kg/m^3

    GAMMA0 = 1326.66 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.10353

    Minimum bulk density GAMMAM =1304.7 kg/m^3

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.17 0.30 0.61 1.22 2.65Width of Oval (meters) 0.10 0.17 0.34 0.68 1.41

    SIGMA (kPa) 0.7 1.5 4. 8. 21.SIGMA1 (kPa) 1.3 2.5 5. 11. 29.

    Wall Friction AnglePHI-PRIME (deg) 50. 40. 33. 30. 29.

    Hopper AnglesTHETA-P (deg) 7.* 12. 20. 22. 22.THETA-C (deg) 0.* 0. 7. 10. 12.

    * Flow along walls is questionable.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.46 0.61 1.40Width of Oval (meters) 0.27 0.35 0.80

    SIGMA (kPa) 2.0 2.8 8.SIGMA1 (kPa) 4.1 5.6 15.

    Wall Friction AnglePHI-PRIME (deg) 56. 52. 45.

    Hopper AnglesTHETA-P (deg) 7.* 7.* 8.*THETA-C (deg) 0.* 0.* 0.*

    * Flow along walls is questionable.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.17 0.30 0.61 1.22 2.70Width of Oval (meters) 0.10 0.17 0.34 0.68 1.44

    SIGMA (kPa) 0.7 1.4 3. 8. 21.

    SIGMA1 (kPa) 1.3 2.5 5. 11. 30.

    Wall Friction AnglePHI-PRIME (deg) 51. 41. 35. 32. 30.

    Hopper AnglesTHETA-P (deg) 7.* 11. 18. 20. 20.THETA-C (deg) 0.* 0. 6. 9. 10.

    * Flow along walls is questionable.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.46 0.61 1.40Width of Oval (meters) 0.27 0.35 0.80

    SIGMA (kPa) 2.0 2.8 8.SIGMA1 (kPa) 4.1 5.6 15.

    Wall Friction AnglePHI-PRIME (deg) 59. 55. 47.

    Hopper AnglesTHETA-P (deg) 7.* 7.* 8.*THETA-C (deg) 0.* 0.* 0.*

    * Flow along walls is questionable.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.17 0.30 0.61 1.22 2.63Width of Oval (meters) 0.10 0.17 0.34 0.68 1.40

    SIGMA (kPa) 0.7 1.4 3. 8. 21.

    SIGMA1 (kPa) 1.3 2.5 5. 11. 28.

    Wall Friction AnglePHI-PRIME (deg) 51. 41. 35. 31. 28.

    Hopper AnglesTHETA-P (deg) 7.* 10. 18. 22. 23.THETA-C (deg) 0.* 0. 5. 9. 13.

    * Flow along walls is questionable.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.46 0.61 1.28Width of Oval (meters) 0.27 0.35 0.72

    SIGMA (kPa) 2.0 2.8 8.SIGMA1 (kPa) 4.1 5.6 12.

    Wall Friction AnglePHI-PRIME (deg) 49. 46. 39.

    Hopper AnglesTHETA-P (deg) 7.* 7.* 14.THETA-C (deg) 0.* 0.* 2.

    * Flow along walls is questionable.

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    BULK MATERIAL 4: Projeto ITMS

    PARTICLE SIZE As recd

    MOISTURE CONTENT 12% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.3 39 to 40 45.Plate, Aged 1.0 42 to 43 48.

    2.3 51 to 53 58.4.4 64 to 65 70.7.2 70 to 71 76.

    A.R. Steel T-500 22 22 0.0 0.3 41 to 42 47.1.0 45 to 46 51.2.3 54 to 55 60.4.4 66 to 67 72.7.2 71 to 72 77.

    Astralloy V 22 22 0.0 0.3 41 to 42 47.1.0 46 to 47 52.2.3 54 to 56 61.4.4 64 to 65 70.7.2 71 to 72 77.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 0.6 0.31.25 0.8 0.4

    1.50 1.5 0.62.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 0.5 0.4 0.6 1.1 2 5 101.25 1.61.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 2.9 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 5.9 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.1 0.51.25 1.6 0.7

    1.50 3.1 1.12.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 0.9 0.7 0.8 1.3 2 5 101.25 ***1.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 3.1 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 6.2 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 2. 5. 13. 27. 59. 126. 272. 584.

    GAMMA (kg/m^3) 1431.5 1539.9 1695.8 1824.2 1962.4 2111.0 2270.8 2442.7

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 1398.1 and 2024.9 kg/m^3

    GAMMA0 = 1272.63 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.09527

    Minimum bulk density GAMMAM =1228.5 kg/m^3

    PARTICLE DENSITYThe weight density of an individual particle of the solid isCAPGAMMA = 4770.0 kg/m^3

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION IIA. SIEVE ANALYSIS

    DESCRIPTION : sieve analysis

    U.S. SIEVE OPENING SIZE % WT. RETAINEDNUMBER (inches) (mm)

    #5 0.1570 3.988 0.00

    #10 0.0787 1.999 11.84

    #16 0.0469 1.191 8.11

    #30 0.0234 0.594 10.95

    #50 0.0117 0.297 10.82

    #100 0.0059 0.150 14.12

    #200 0.0029 0.074 22.80

    #325 0.0017 0.043 13.74

    PAN 7.63

    100.00

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.13 0.30 0.61 1.22 3.02Width of Oval (meters) 0.07 0.16 0.33 0.65 1.61

    SIGMA (kPa) 0.6 1.6 4. 8. 21.SIGMA1 (kPa) 1.1 2.6 6. 12. 33.

    Wall Friction AnglePHI-PRIME (deg) 39. 35. 34. 34. 33.

    Hopper AnglesTHETA-P (deg) 10.* 13. 15. 15. 16.THETA-C (deg) 0.* 3. 5. 6. 6.

    * Flow along walls is questionable.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.39 0.61 1.23Width of Oval (meters) 0.21 0.33 0.66

    SIGMA (kPa) 2.0 3.3 8.SIGMA1 (kPa) 3.5 5.8 12.

    Wall Friction AnglePHI-PRIME (deg) 41. 39. 36.

    Hopper AnglesTHETA-P (deg) 10.* 10.* 13.THETA-C (deg) 0.* 0.* 3.

    * Flow along walls is questionable.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.13 0.30 0.61 1.22 2.96Width of Oval (meters) 0.07 0.16 0.32 0.65 1.57

    SIGMA (kPa) 0.6 1.7 4. 8. 21.

    SIGMA1 (kPa) 1.1 2.6 6. 12. 31.

    Wall Friction AnglePHI-PRIME (deg) 38. 34. 33. 32. 32.

    Hopper AnglesTHETA-P (deg) 10. 15. 16. 17. 17.THETA-C (deg) 0. 5. 7. 7. 8.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.39 0.61 1.23Width of Oval (meters) 0.21 0.33 0.66

    SIGMA (kPa) 2.0 3.3 8.SIGMA1 (kPa) 3.5 5.8 12.

    Wall Friction AnglePHI-PRIME (deg) 43. 39. 36.

    Hopper AnglesTHETA-P (deg) 10.* 10.* 13.THETA-C (deg) 0.* 0.* 3.

    * Flow along walls is questionable.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.13 0.30 0.61 1.22 2.98Width of Oval (meters) 0.07 0.16 0.32 0.65 1.58

    SIGMA (kPa) 0.6 1.6 4. 8. 21.

    SIGMA1 (kPa) 1.1 2.7 6. 12. 32.

    Wall Friction AnglePHI-PRIME (deg) 41. 36. 34. 33. 32.

    Hopper AnglesTHETA-P (deg) 10.* 12. 15. 16. 17.THETA-C (deg) 0.* 3. 5. 6. 7.

    * Flow along walls is questionable.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.39 0.61 1.22Width of Oval (meters) 0.21 0.33 0.65

    SIGMA (kPa) 2.0 3.3 8.SIGMA1 (kPa) 3.5 5.8 12.

    Wall Friction AnglePHI-PRIME (deg) 40. 38. 35.

    Hopper AnglesTHETA-P (deg) 10.* 10. 13.THETA-C (deg) 0.* 1. 3.

    * Flow along walls is questionable.

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    BULK MATERIAL 5: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.2 33 to 35 40.Plate, Aged 0.9 42 to 43 48.

    2.3 57 to 59 64.4.4 70 to 71 76.7.1 82 to 84 89.

    A.R. Steel T-500 22 22 0.0 0.2 33 to 34 39.0.9 43 to 44 49.2.3 58 to 59 64.4.4 69 to 70 75.7.1 87 to 88 90.

    Astralloy V 22 22 0.0 0.2 34 to 35 40.0.9 41 to 42 47.2.3 57 to 58 63.4.4 70 to 71 76.7.1 82 to 83 88.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    SECTION I. BIN DIMENSIONS FOR DEPENDABLE FLOW

    Storage Time at Rest 0.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 0.9 0.41.25 1.3 0.6

    1.50 2.6 0.92.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 0.8 1.0 1.2 2 3 5 91.25 ***1.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 3.1 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 6.1 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    Storage Time at Rest 24.0 hrsTemperature 22 deg CRelative Humidity 60.0%

    PART A. BINS WITH UNLIMITED MAXIMUM SIZE

    Optimum Mass Flow DimensionsP-Factor BC meters BP meters

    1.00 1.1 0.51.25 2.2 0.7

    1.50 +++ 3.02.00 +++ ***

    Funnel Flow DimensionsP-Factor BF (meters)EH= 0.2 0.3 0.8 2 3 5 meters

    Critical Rathole Diameters, DF (meters)1.00 1.7 1.0 1.3 2 3 6 111.25 ***1.50 ***2.00 ***

    *** Denotes unassisted gravity flow is impossible. However, widths of onlyup to 3.6 meters were simulated by our tests. If larger widthsare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    +++ Denotes unassisted gravity flow is impossible. However, diameters of onlyup to 7.1 meters were simulated by our tests. If larger diametersare practical for your application, further testing at higher pressuresmight reveal conditions under which unassisted gravity flow is possible.

    TERMSP-FACTOR = overpressure factorBC = recommended minimum outlet diameter, conical hopperBP = recommended minimum outlet width, slotted or oval outletBF = minimum width of rectangular outlet in a funnel flow binEH = effective consolidating head

    For detailed explanations of terms see appendix pages A5, A6, and A7.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    SECTION II. SOLIDS DENSITY

    TEMPERATURE 22 deg C

    BULK DENSITYThe bulk density, GAMMA, is a function of the major consolidatingpressure, SIGMA1, expressed in terms of effective head, EH.

    EH (meters) 0.2 0.3 0.8 1.5 3.0 6.1 12.2 24.4

    SIGMA1 (kPa) 2. 5. 14. 29. 62. 133. 283. 602.

    GAMMA (kg/m^3) 1583.3 1686.9 1834.5 1954.6 2082.6 2219.0 2364.3 2519.2

    COMPRESSIBILITY PARAMETERS

    Bulk density, GAMMA, is a function of the major consolidating pressureSIGMA1, as follows:

    BETAGAMMA is the greater of GAMMA0 (SIGMA1/SIGMA0) and GAMMAM.

    For GAMMA between 1538.2 and 2159.0 kg/m^3

    GAMMA0 = 1415.56 kg/m^3

    SIGMA0 = 0.62 kPa

    BETA = 0.08384

    Minimum bulk density GAMMAM =1092.5 kg/m^3

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    SECTION III. MAXIMUM HOPPER ANGLES FOR MASS FLOW

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.15 0.30 0.61 1.22 2.71Width of Oval (meters) 0.07 0.09 0.17 0.34 0.66 1.45

    SIGMA (kPa) 0.6 0.8 2. 4. 9. 21.SIGMA1 (kPa) 0.9 1.2 2. 5. 12. 29.

    Wall Friction AnglePHI-PRIME (deg) 37. 35. 32. 31. 30. 30.

    Hopper AnglesTHETA-P (deg) 15. 17. 21. 21. 21. 21.THETA-C (deg) 3. 5. 8. 10. 10. 11.

    WALL MATERIAL: Mild Carbon Steel Plate, AgedSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.38 0.61 1.17Width of Oval (meters) 0.22 0.34 0.64

    SIGMA (kPa) 2.0 3.4 7.SIGMA1 (kPa) 3.3 5.4 12.

    Wall Friction AnglePHI-PRIME (deg) 40. 37. 35.

    Hopper AnglesTHETA-P (deg) 12. 15. 15.THETA-C (deg) 0. 3. 4.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.13 0.30 0.61 1.22 2.70Width of Oval (meters) 0.07 0.17 0.34 0.66 1.44

    SIGMA (kPa) 0.6 1.7 4. 9. 21.

    SIGMA1 (kPa) 1.0 2.4 5. 12. 29.

    Wall Friction AnglePHI-PRIME (deg) 40. 33. 31. 30. 29.

    Hopper AnglesTHETA-P (deg) 12. 20. 21. 21. 21.THETA-C (deg) 0. 8. 10. 11. 11.

    WALL MATERIAL: A.R. Steel T-500STORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.43 0.61 1.16Width of Oval (meters) 0.25 0.35 0.64

    SIGMA (kPa) 2.0 3.3 7.SIGMA1 (kPa) 3.9 5.5 11.

    Wall Friction AnglePHI-PRIME (deg) 44. 40. 35.

    Hopper AnglesTHETA-P (deg) 7. 12. 16.THETA-C (deg) 0. 0. 5.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 0.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.12 0.30 0.61 1.22 2.70Width of Oval (meters) 0.07 0.17 0.34 0.66 1.44

    SIGMA (kPa) 0.5 1.7 4. 9. 21.

    SIGMA1 (kPa) 1.0 2.4 5. 12. 29.

    Wall Friction AnglePHI-PRIME (deg) 43. 34. 31. 30. 29.

    Hopper AnglesTHETA-P (deg) 9. 19. 21. 21. 21.THETA-C (deg) 0. 7. 10. 11. 11.

    WALL MATERIAL: Astralloy VSTORAGE TIME AT REST 24.0 hrsTEMPERATURE 22 deg C

    HOPPER ANGLES FOR VARIOUS HOPPER SPANS

    Dia of Cone (meters) 0.37 0.61 1.15Width of Oval (meters) 0.21 0.34 0.63

    SIGMA (kPa) 2.0 3.5 7.SIGMA1 (kPa) 3.2 5.3 11.

    Wall Friction AnglePHI-PRIME (deg) 38. 36. 34.

    Hopper AnglesTHETA-P (deg) 14. 17. 17.THETA-C (deg) 2. 5. 6.

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    BULK MATERIAL 6: GFI

    PARTICLE SIZE As recd

    MOISTURE CONTENT 13% (wet basis)

    SECTION VI. CHUTE ANGLES

    Tests were conducted at the indicated impact pressures, temperatures, andtime(s) at rest to determine the angles required for nonconvergingchutes in order to maintain flow after material impact. The angle given isthe minimum angle from the horizontal that will cause a bed of materialto slide on the chute. In general, chutes should be designedwith at least a 5 degree safety margin on this angle; if the chuteconverges, a significantly steeper chute may be required.

    Temperature(deg C) Time Impact Chute Angles (deg)Chute Material Material Chute at Rest Pressure Range Min.

    (hours) (kPa) Rec.

    Mild Carbon Steel 22 22 0.0 0.2 37 to 38 43.Plate, Aged 0.9 46 to 47 52.

    2.3 58 to 59 64.4.4 69 to 71 76.7.1 82 to 84 89.

    A.R. Steel T-500 22 22 0.0 0.2 37 to 38 43.0.9 45 to 46 51.2.3 59 to 60 65.4.4 67 to 68 73.7.1 77 to 79 84.

    Astralloy V 22 22 0.0 0.2 36 to 37 42.0.9 46 to 47 52.2.3 59 to 60 65.4.4 69 to 70 75.7.1 82 to 83 88.

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    BULK MATERIAL 7: GFH Zogota

    PARTICLE SIZE As recd

    MOISTURE CONTENT 10% (wet bas


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