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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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VALE S.A. November 9, 2012
Report JJC #68334-2 Page 27
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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VALE S.A. November 9, 2012
Report JJC #68334-2 Page 28
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
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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
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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.
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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.
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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.
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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