Lab IQ2 SedimentaciónDOC Alex2005 I

8/18/2019 Lab IQ2 SedimentaciónDOC Alex2005 I

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INFORME Nro 05

“SEDIMENTACIÓN”

UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS

FACULTAD DE QUIMCIA E INGENIERIA QUIMICA

DEPARTAMENTO ACADEMICO DE OPERACIONES UNITARIAS

LABORATORIO DE OPERACIONES UNITARIAS

INTEGRANTES:

- BECERRA DURAND, Alexander Oar !"""!"#$

- DÍAZ PONCE, Mely 009916!

- QUI%AITE MANRIQUE, Pedr& Alex'( !"")!!!*

- SALA+AR TAIPE, Anela !"""#!$

- S.NC/E+ GUERR0N1 Brenda Fa2'&la !""""$34

PROFESOR: DR1 RICARDO LAMA RAMIRE+, P51D1

GRUPO: 6 ! )IQII-!4

FEC/A DE REALI+ACION: )78!48)!!4

C'9dad Un'er(';ar'a, %9n'& )!!4


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ÍNDICE

I. RESUMEN 01

II. INTRODUCCIÓN 02

III. PRINCIPIOS TEÓRICOS 03

IV. DETALLES EXPERIMENTALES 09

V. TABULACION Y RESULTADOS 11

VI. DISCUSIÓN DE RESULTADOS 26

VII. CONCLUSIONES 27

VIII. RECOMENDACIONES 28

IX. BIBLIOGRAÍA 29

X. AP!NDICE 1" E#EMPLO DE C$LCULOS 30

XI. AP!NDICE 02" DEMOSTRACIÓN PARA LA OBTENCIÓN

DE LA ECUACIÓN QUE DESCRIBE AL FACTOR F DE GRAHAM – LAMA 34

XII. AP!NDICE 03" GR$ICAS 37


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Laboratorio de Operaciones Unitarias Sedimentación

ÍNDICE DE TABLAS

TABLAS Pág.

T%&'% N( 01" C)*+,-,)*/ + '%&)%),) 11

T%&'% N( 02" P),+%+/ /,-%/ +' 4'5,+) 11

Tabla N° 03 Da!"# $%&$'()$*!al$# $* S$+()$*!a,(-* $'!(,al //

Tabla N° 04 R$#l!a+"# +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al $%&$'()$*!al /4

Tabla N° 01 D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"'

$l )2!"+" +$ (*, &a'a la ,"*,$*!'a,(-* +$ 30056L /4Tabla N° 07 D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"'

$l )2!"+" +$ (*, &a'a la ,"*,$*!'a,(-* +$ 40056L /1

Tabla N° 08 D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"'

$l )2!"+" +$ (*, &a'a la ,"*,$*!'a,(-* +$ 10056L /1

Tabla N° 09 R$#l!a+"# +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"' $l )2!"+"

+$ (*, /7

Tabla N° 0: P"',$*!a;$ +$ E''"' +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,a /7l

Tabla N° /0 C $* S$+()$*!a,(-* I*,l(*a+a

&a'a la E,a,(-* +$ G'aa)La)a &a'a l"#


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ÍNDICE DE GR$ICOS

GRFICOS Pág.

G4,-) N( 01" D,*%-,* + '% ')-,+%+ :,*%' + /+,*%-,*

,-%' + BASO; L? 38

G4,-) N( 02" D,*%-,* + '% *+*-,% L,*%' + '% ')-,+%+ :,*%'

+ /+,*%-,* ,-%' + BASO; L? 38

G4,-) N( 03" D,*%-,* + '% ')-,+%+ :,*%' + /+,*%-,*

,-%' + BASO; L? 39

G4,-) N( 0;" D,*%-,* + '% *+*-,% ',*%' + '% ')-,+%+ :,*%' + /+,*%-,* ,-%' + BASO; L? 39

G4,-) N( 0@" D,*%-,* + '% ')-,+%+ :,*%' + /+,*%-,*

,-%' + BASO; L? ;0

G4,-) N( 06" D,*%-,* + '% *+*-,% L,*%' + '% ')-,+%+ :,*%'

+ /+,*%-,* ,-%' + BASO; L? ;0

G4,-) N( 07" D,*%-,* %*%',-% + '% ')-,+%+ + /+,*%-,* ,-%'

%% 300 =>L B%SO; M)+) *- ;1

G4,-) N( 08" D,*%-,* %*%',-% + '% ')-,+%+ + /+,*%-,* ,-%'

%% ;00 =>L B%SO; M)+) *- ;1

G4,-) N( 09" D,*%-,* %*%',-% + '% ')-,+%+ + /+,*%-,* ,-%'

%% @00 =>L B%SO; M)+) *- ;2

G4,-) N( 10" C)%%-,* + '% ')-,+%+ %*%',-% + /+,*%-,* ,-%'

%% -%+% -)*-*%-,* + B%SO; M)+) *- ;2

G4,-) N( 11" D,*%-,* + '% ')-,+%+ :,*%' + /+,*%-,*

,-%' * 45*-,* + '% -)*-*%-,* ;3

G4,-% N( 12" C)*/5--,* G4,-% %% '% +,*%-,* + '% ')-,+%+

:,*%' + /+,*%-,* ,*-',*%+% % 30F + B%SO; L? ;3

G4,-% N( 13" D,*%-,* +' %-) + C)--,* + '% -5%-,* +

G%%L%% %% 5* *=5') + 30F ;;

G4,-) N( 1;" C)*/5--,* =4,-% %% '% +,*%-,* + '% ')-,+%+

:,*%' + S+,*%-,* ,*-',*%+% % ;@F + B%SO; L? ;;


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G4,-) N( 1@" D,*%-,* +' %-) + C)--,* + '% -5%-,* +

G%%L%% %% 5* *=5') + ;@F ;@

G4,-) N( 16" C)*/5--,* =4,-% %% '% +,*%-,* + '% ')-,+%+

E:,*%' + S+,*%-,* ,*-',*%+% % 60F + B%SO; L? ;@

G4,-) N( 17" D,*%-,* +' %-) + C)--,* + '% -5%-,* +

G%%L%% %% 5* *=5') + 60F ;6


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I. RESUMEN

El #(5($*!$ !'aba;" ab"'+a $l !$)a +$ la S$+()$*!a,(-* $l )2!"+" $%&$'()$*!al ,"*#(#!$ $* +$!$')(*a' la# $l",(+a+$# +$ #$+()$*!a,(-* +$ &a'!,la# +$ Sla!" +$ Ba'("

=Ba'(!(*a> &a'a !b"# $'!(,al$# $ (*,l(*a+"#? &a'a la #$+()$*!a,(-* $'!(,al a !'$#

,"*,$*!'a,("*$# +($'$*!$# =300 400 100 56L> ,a# $l",(+a+$# a'a* $*!'$ .83 /4.08

=,)6)(*> $* !a*!" $ ## $l",(+a+$# a*al!(,a# &"' $l )2!"+" +$ (*, l,!Ja* $*!'$ .::

.48 $* ,a)b(" &a'a la #$+()$*!a,(-* (*,l(*a+a ,"* !'$#


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II. INTRODUCCION

E* la# (*+#!'(a# la# "&$'a,("*$# +$ #$+()$*!a,(-* #$ ll$a* a ,ab" a #$a $* $(&"#

(*!$')(!$*!$# " ,"*!*"# l"# ,al$# '$,(b$* $l *")b'$ +$ $#&$#a+"'$#. El +(#$" +$ *

$#&$#a+"' $# &"#(bl$ a !'a2# +$ la (*"')a,(-* "b!$*(+a $* *a "&$'a,(-* +$ #$+()$*!a,(-*

(*!$')(!$*!$ ,"* * &'"+,!" +$!$')(*a+" =E* *$#!'" ,a#" BaSO4>

C"* $l &'"&-#(!" +$ +$!$')(*a' $l !a)a" +$ l"# $#&$#a+"'$# !$*$)"# $ $l )2!"+"

)


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III. PRINCIPIOS TEÓRICOS

SEDIMENTACIÓN

La #$&a'a,(-* +$ *a ##&$*#(-* +(l(+a )$+(a*!$ #$+()$*!a,(-* &"' 5'a$+a+ &a'a

+a' l5a' a * l(+" ,la'((,a+" *a ##&$*#(-* ,"* )a"' ,"*!$*(+" +$ #-l(+"# #$ ,"*",$

,")" #$+()$*!a,(-* $l )$,a*(#)" +$ #$+()$*!a,(-* &$+$ +((+('#$ "b#$'a*+" l" $

",''$ +'a*!$ *a &'$ba +$ #$+()$*!a,(-* (*!$')(!$*!$ $* *a &'"b$!a +$ (+'(" a )$+(+a

$ l"# #-l(+"# #$ #$+()$*!a* a &a'!(' +$ *a ##&$*#(-* &'$&a'a+a '$,($*!$)$*!$ ,"* *a

,"*,$*!'a,(-* *("')$ +$ &a'!,la# #-l(+a# *("')$# $* !"+a la &'"b$!a. E* ,a*!" #$

(*(,(a $l &'",$#" !"+a# la# &a'!,la# ,")($*a* a #$+()$*!a'#$ #$ #&"*$ $ al,a*a*,"* 'a&(+$ la# $l",(+a+$# !$')(*al$# ba;" ,"*+(,("*$# +$ #$+()$*!a,(-* '$!a'+a+a.

S$ $#!abl$,$* a'(a# "*a# +$ ,"*,$*!'a,(-* =(5'a N° /b> la "*a D +$ #-l(+"#

#$+()$*!a+"# (*,l('< +$ )a*$'a &'$+")(*a*!$ la# &a'!,la# )a# &$#a+a# $ #$

#$+()$*!a* )a# '


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F(5'a / #$+()$*!a,(-* (*!$')(!$*!$ " +(#,"*!(*a.

TIPOS DE SEDIMENTACIÓN

a. S$5J* $l $(&" $* $ #$ '$al(a

a./> CONTINUA.S$ '$al(a $* l"# $#&$#a+"'$# #($*+" la# ,a'a,!$'#!(,a# +$ la# +($'$*!$#

"*a# +$ #$+()$*!a,(-* ,"*#!a*!$# ,"* $l !($)&".

a.> DISCONTINUA. S$ '$al(a $* !b"# #$+()$*!a+"!$# #($*+" la# ,a'a,!$'#!(,a# +$ ,a+a

"*a +$ #$+()$*!a,(-* *a *,(-* +$l !($)&"

b.S$5J* la# ,a'a,!$'#!(,a# +$ la $l",(+a+ +$ #$+()$*!a,(-*?

b./> SEDIMENTACION LIBRE. Ca*+" *a &a'!,la +$#,($*+$ #(* #$' +(#!'ba+a '$,(b$

$l *")b'$ +$ #$+()$*!a,(-* l(b'$ $#!" ",''$ ,a*+" la +(#!a*,(a $ #$&a'a a la# &a'!,la# $*!'$ $lla# +$ la# &a'$+$# +$l #$+()$*!a+"' $# &"' l" )$*"# +$ /0 a 0 $,$# $l

+( b> ,> +> $>


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+"*+$

! $l",(+a+ !$')(*al +$ la# &a'!,la#.

D& D( $+a*+" ,")"

#(5$

# @ ! F# ! @ =) >5 D& F# .. =>

/9

$ $# *a $,a,(-*


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Pa'a ,"*#(+$'a' $l $$,!" +$ la# &a'$+$# +$l '$,(&($*!$ #"b'$ la $l",(+a+ +$ #$+()$*!a,(-*

+$b$)"# (*!'"+,(' * *$" a,!"' +$ ,"''$,,(-* =F&> $+a*+" la $,a,(-*

! @ =) >5 D& F# F& .. =3>

/9

+"*+$

F& @ =/ D&6D>.1

D @ D(


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$ !($*$ "')a +$ *a '$,!a Z @ )X W b

E%&$'()$*!"# '$al(a+"# &"' [.G'aa) R.La)a )$#!'a* $ ,a*+" la '$!$*,(-* $*!'$ la

$l",(+a+ +$ #$+()$*!a,(-* $'!(,al => la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al $#

&l"!$a+a $'## la al!'a +$ la ,"l)*a =H> +((+(+a &"' $l +( F .. =7>

+! Y D

OBSERACIÓN E#!a !$"'a $# (*al$# =H!> !$*$)"#

l* = Y D W 4H"C"# > @ =4#C"# F >! . =8>

Y D W 4HC"# YD

$ !($*$ "')a +$ la $,a,(-* +$ *a '$,!a +"*+$

) @ 4#C"# F .. =9>

Y D

F @ ) Y D .=:>

4#C"#

- # -


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TEORIA DE ZNCH. *, $#!abl$,$ $ la $l",(+a+ +$ #$+()$*!a,(-* +$ *a ##&$*#(-*

$# #-l" *,(-* +$ la ,"*,$*!'a,(-* l",al +$ la# &a'!,la#. S$ ll$5a a $#!a ,"*,l#(-* a &a'!('

+$ * $#!+(" !$-'(," +$ ##&$*#("*$# +$ &a'!,la# (5al$# '5(+a# *" l",la+a# ,a

*a!'al$a *" +$#,'(b$.

*, ,"*#(+$'a * '$,(&($*!$ +$ &'"*+(+a+ (*+$(*(+a &$'" l()(!a+a


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IV. DETALLES EXPERIMENTALES

,=. N( 01" D,/K) +' E5,) T5&)/ ,*-',*%+)/

- % -


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Ma!$'(al$#

• Sla!" +$ Ba'(" =Ba'(!(*a>

•

T'$# &'"b$!a# 5'a+a+a# +$ * l(!'"• U* ,'"*-)$!'"

• U*a bala*a +$ !'(&l$ b'a".

• U* !b" +$ (+'(" *" +$ #$,,(-* ,(',la'.

• Ta&"*$# &a'a l"# !b"#.

• Pla#!(l(*a &a'a a#$5'a' l"# !a&"*$#.

• Pa&$l )(l()$!'a+".

• C(*!a )2!'(,a

P'",$+()($*!"

/> P'$&a'a' #"l,("*$# +$ Sla!" +$ Ba'(" +$ 300 400 100 5 BaSO4 6L #"l,(-* &a'a la

#$+()$*!a,(-* $'!(,al? *a #"l,(-* +$ 400 5 BaSO4 6L #"l,(-* &a'a la #$+()$*!a,(-*

(*,l(*a+a.

> Pa'a la #$+()$*!a,(-* $'!(,al #$ ")"5$*(a la #"l,(-* a5(!a*+" (5"'"#a)$*!$ la

&'"b$!a &'$(a)$*!$ a(#la*+" l"# !a&"*$# ,"* &la#!(l(*a.

3> Ta* &'"*!" ,")" #$ !$')(*a +$ a5(!a' la #"l,(-* #$ &'",$+$ a a*"!a' $l !($)&" +$

#$+()$*!a,(-* ,"* a+a +$ * ,'"*-)$!'" ,")" la al!'a +$l #$+()$*!" &"' )$+(" +$

* &a&$l )(l()$!'a+" +$#+$ la ba#$ +$ la &'"b$!a.

4> A*"!a' la al!'a +$ #$+()$*!a,(-* $* * !($)&" (*(*(!" =al +a #(5($*!$>.

1> Pa'a la #$+()$*!a,(-* (*,l(*a+a ")"5$*(a' la #"l,(-* ,"* la a+a +$ a('$

,")&'()(+".

7> Ta* &'"*!" #$ '$!('a $l a('$ a*"!a' $l !($)&" +$ #$+()$*!a,(-* la al!'a ,")" $* $l

&a#" 3> &a'a ,a+a


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V. TABULACION Y RESULTADOS

T%&'% N( 01" C)*+,-,)*/ + '%&)%),)

T$)&$'a!'a =°C > 0

P'$#(-* =))H5> 817

T%&'% N( 02" P),+%+/ /,-%/ +' 4'5,+)

D$*#(+a+ +$ a5a =56)3 > ::9.3

(#,"#(+a+ +$l a5a =56).#> 0.00/

NJ)$'" +$ )alla 31

D( 44

Tabla N° 03 Da!"# $%&$'()$*!al$# $* S$+()$*!a,(-* $'!(,al

C)*-*%-,* L? 300 ;00 @00

,)


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C)*-*%-,* L? 300 ;00 @00

,)


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C)*-*%-,* L? 300 ;00 @00

,)


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400 1.4:

100 .83

@ /0: % C 3./07

Tabla N° 01 D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"' $l )2!"+" +$

(*, &a'a la ,"*,$*!'a,(-* +$ 30056L

C) L? 300.00 )


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/.0 /3.1 0./7 /041.:3 4:.1

Tabla N° 08 D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al &"' $l )2!"+" +$

(*, &a'a la ,"*,$*!'a,(-* +$ 10056L

C) L? @00.00 )


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Tabla N° /0 C H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

71.3 0 3.71 0.000 0.000

74.9 1 3.4 0.093 0.008

74 /0 3 0./78 0.0/8

73 /1 3/.1 0.10 0.03/

7 0 3/ 0.333 0.041

70 1 30 0.4/8 0.083

1/ 30 1.1 0.100 0.//

40 31 0 0.193 0.4/0

39 40 /: 0.778 0.410

37 41 /9 0.810 0.4:334 10 /8 0.933 0.139

3 11 /7 0.:/8 0.194

3/ 70 /1.1 /.000 0.709

30 71 /1 /.093 0.733

9.9 80 /4.4 /./78 0.773

8.9 81 /3.: /.10 0.79:

7.: 90 /3.41 /.333 0.8/4

7.1 91 /3.1 /.4/8 0.84

1.9 :0 /.: /.100 0.844

1 :1 /.1 /.193 0.877

4.1 /00 /.1 /.778 0.89/

3.9 /01 //.: /.810 0.90/

3 //0 //.1 /.933 0.91

.9 //1 //.4 /.:/8 0.93/

.3 /0 //./1 .000 0.948

/.9 /1 /0.: .093 0.97

/.4 /30 /0.8 ./78 0.981

/./ /31 /0.11 .10 0.991

0.9 /40 /0.4 .333 0.9:40.1 /41 /0.1 .4/8 0.:04

0. /10 /0./ .100 0.:/4

/:.: /11 :.:1 .193 0.:4

/:.7 /70 :.9 .778 0.:34

/:.4 /71 :.8 .810 0.:4/

/: /80 :.1 .933 0.:11

/9.9 /81 :.4 .:/8 0.:7

/9.1 /90 :.1 3.000 0.:8

/9 /91 : 3.093 0.::0

/8.9 /:0 9.: 3./78 0.::8

- 1" -


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H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

/1.: 40 8.:1 4.000 /.079

/1.3 :0 8.71 4.933 /.0:/

/1 :1 8.1 4.:/8 /./03

/4.9 300 8.4 1.000 /.///

/4.1 301 8.1 1.093 /./3

/4. 3/0 8./ 1./78 /./37

/4 3/1 8 1.10 /./44

/3.9 30 7.: 1.333 /./1

/3.4 330 7.8 1.100 /./7:

/3 340 7.1 1.778 /./98

/.8 310 7.31 1.933 /.00

/.1 370 7.1 7.000 /.0:

/. 380 7./ 7./78 /.

/ 390 7 7.333 /.3///.9 3:0 1.: 7.100 /.40

//.1 400 1.81 7.778 /.14

//.3 4/0 1.71 7.933 /.74

// 40 1.1 8.000 /.89

/0.9 430 1.4 8./78 /.98

/0.7 440 1.3 8.333 /.:8

/0.1 410 1.1 8.100 /.30

/0.3 470 1./1 8.778 /.3/

/0./ 490 1.01 9.000 /.3

:.: 100 4.:1 9.333 /.33

:.9 10 4.: 9.778 /.338

:.9 140 4.: :.000 /.338

:.8 170 4.91 :.333 /.34

:.1 190 4.81 :.778 /.31

:.3 700 4.71 /0.000 /.37

:./ 70 4.11 /0.333 /.383

9.9 740 4.4 /0.778 /.39:

9.1 770 4.1 //.000 /.401

9.3 790 4./1 //.333 /.4/7 9./ 800 4.01 //.778 /.48

8.: 80 3.:1 /.000 /.439

8.1 840 3.81 /.333 /.470

8.1 870 3.81 /.778 /.470

8.1 890 3.81 /3.000 /.470

)@03384

- 1# -


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Tabla N° // C H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

78.3 0 48.1: 0.000 0.000

74 1 41.1 0.093 0.044

7 /0 43.94 0./78 0.08

70 /1 4.43 0.10 0./0/

17 0 3:.70 0.333 0./7/

13 1 38.49 0.4/8 0.0:

49 30 33.:4 0.100 0.:3

43 31 30.4/ 0.193 0.397

4/ 40 9.:: 0.778 0.41

3:.1 41 8.:3 0.810 0.417

39.3 10 8.09 0.933 0.49/38.7 11 7.1: 0.:/8 0.4:7

37.8 70 1.:1 /.000 0.1/7

31.: 71 1.3: /.093 0.134

31./ 80 4.9 /./78 0.11

34.1 81 4.40 /.10 0.177

33.8 90 3.93 /.333 0.194

33 91 3.33 /.4/8 0.70/

3.4 :0 .:/ /.100 0.7/1

3 :1 .73 /.193 0.71

3/.3 /00 ./3 /.778 0.74330.9 /01 /.89 /.810 0.711

30.3 //0 /.43 /.933 0.779

:.9 //1 /.08 /.:/8 0.79/

:.3 /0 0.8 .000 0.7:4

9.9 /1 0.37 .093 0.808

9.1 /30 0./1 ./78 0.8/1

9. /31 /:.:4 .10 0.83

8.9 /40 /:.77 .333 0.834

8.1 /41 /:.41 .4/8 0.843

8. /10 /:.3 .100 0.81/

7.9 /11 /9.:1 .193 0.87

7.1 /70 /9.84 .778 0.88/

7.3 /71 /9.70 .810 0.887

1.: /80 /9.3/ .933 0.899

1.8 /81 /9./8 .:/8 0.8:4

1.1 /90 /9.03 3.000 0.900

1.3 /91 /8.9: 3.093 0.901

1 /:0 /8.79 3./78 0.9/4

4.8 /:1 /8.48 3.10 0.934.1 00 /8.3 3.333 0.9:

- 1$ -


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H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

4.3 01 /8./9 3.4/8 0.931

4./ /0 /8.04 3.100 0.94/

4 /1 /7.:8 3.193 0.944

3.8 0 /7.87 3.778 0.914

3.4 1 /7.11 3.810 0.973

3 31 /7.7 3.:/8 0.987

.9 40 /7./ 4.000 0.99

.8 41 /7.01 4.093 0.991

.1 10 /1.:/ 4./78 0.9:/

.3 11 /1.88 4.10 0.9:9

. 70 /1.80 4.333 0.:0/

./ 71 /1.73 4.4/8 0.:04

/.: 80 /1.4: 4.100 0.://

/.8 81 /1.34 4.193 0.:/9/.7 90 /1.8 4.778 0.:/

/.1 91 /1.0 4.810 0.:4

/.4 :1 /1./3 4.:/8 0.:8

/./ 301 /4.: 1.093 0.:38

0.9 3/1 /4.8/ 1.10 0.:49

0.7 31 /4.18 1.4/8 0.:14

0.3 331 /4.31 1.193 0.:71

0./ 341 /4./ 1.810 0.:8

/:.: 311 /4.08 1.:/8 0.:8:

/:.8 371 /3.:3 7.093 0.:97

/:.4 381 /3.8 7.10 0.::7

/:.3 391 /3.71 7.4/8 /.000

/:. 3:1 /3.19 7.193 /.004

/9.: 401 /3.37 7.810 /.0/4

/9.9 4/1 /3.: 7.:/8 /.0/9

/9.7 41 /3./1 8.093 /.01

/9.1 431 /3.09 8.10 /.0:

/9.3 441 /.:4 8.4/8 /.037

/9. 411 /.98 8.193 /.040/9 471 /.83 8.810 /.049

/8.9 491 /.1: 9.093 /.011

/8.8 101 /.1 9.4/8 /.01:

/1.3 901 /0.9 /3.4/8 /./14

/1 971 /0.7/ /4.4/8 /./78

/4.8 :1 /0.3: /1.4/8 /./90

/4.3 :91 /0.// /7.4/8 /./:8

/4 /041 :.:0 /8.4/8 /./0

/3.9 //01 :.87 /9.4/8 /./:

/3.1 //71 :.11 /:.4/8 /.33

- 1% -


25/49


H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

/3. /1 :.33 0.4/8 /.47

/3 /91 :./: /.4/8 /.11

/3 /341 :./: .4/8 /.11

/.: /401 :./ 3.4/8 /.70

/.8 /801 9.:9 9.4/8 /.7:

/.4 001 9.88 33.4/8 /.94

/. 301 9.73 39.4/8 /.:3

/. 701 9.73 43.4/8 /.:3

/. :01 9.73 49.4/8 /.:3

)@0/317

Tabla N° / C H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

79.3 0 1:./1 0.000 0.000

78 1 19.0 0.093 0.0/8

77 /0 18./7 0./78 0.030

74.: /1 17./ 0.10 0.044

74.1 0 11.97 0.333 0.010

7 1 13.7: 0.4/8 0.094

70 30 1/.:7 0.100 0.//

19 31 10.3 0.193 0./4/

17 40 49.10 0.778 0./8/

14.1 41 48.0 0.810 0./:4

1/.1 10 44.70 0.933 0.4

4:.1 11 4.98 0.:/8 0.81

48 70 40.80 /.000 0.3/9

47 71 3:.94 /.093 0.331

41 80 39.:8 /./78 0.31344 81 39.// /.10 0.38

4.1 90 37.9/ /.333 0.400

4 91 37.38 /.4/8 0.40:

4/.3 :0 31.88 /.100 0.43

40. :1 34.9/ /.193 0.441

3: /00 33.88 /.778 0.47:

39.1 /01 33.34 /.810 0.48:

39 //0 3.:/ /.933 0.4:0

38.4 //1 3.3: /.:/8 0.10

37.1 /0 3/.7/ .000 0.1/37 /1 3/./9 .093 0.13

- 2& -


26/49


H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

31.1 /30 30.84 ./78 0.143

31 /31 30.3/ .10 0.114

34.1 /40 :.99 .333 0.171

34 /41 :.44 .4/8 0.188

33.1 /10 :.0/ .100 0.199

33 /11 9.19 .193 0.700

3.8 /70 9.3 .778 0.708

3.4 /71 9.07 .810 0.7/4

3 /80 8.8/ .933 0.73

3/.8 /81 8.41 .:/8 0.730

3/.4 /90 8./: 3.000 0.739

30.4 /91 7.33 3.093 0.77

30 /:0 1.:9 3./78 0.78

:.9 /:1 1.9/ 3.10 0.788 :.1 00 1.11 3.333 0.791

:.3 01 1.38 3.4/8 0.7:0

: /0 1.// 3.100 0.7:8

9.9 /1 4.:4 3.193 0.80

9.7 0 4.88 3.778 0.809

9.4 1 4.70 3.810 0.8/3

9 30 4.1 3.933 0.83

8.: 31 4./7 3.:/8 0.87

8.8 40 3.:: 4.000 0.83/

8.4 41 3.83 4.093 0.83:

8.3 10 3.74 4./78 0.84

8. 11 3.17 4.10 0.841

7.9 70 3./ 4.333 0.811

7.7 71 3.04 4.4/8 0.87/

7.1 80 .:1 4.100 0.874

7.4 81 .97 4.193 0.877

1.: 91 .43 4.810 0.890

1.7 :1 ./8 4.:/8 0.89:

1.3 301 /.:/ 1.093 0.8:8 1./ 3/1 /.84 1.10 0.903

4.8 31 /.3: 1.4/8 0.9/4

4.1 331 /. 1.193 0.90

4.3 341 /.04 1.810 0.97

4./ 311 0.98 1.:/8 0.93

3.9 371 0.7/ 7.093 0.940

3.7 381 0.44 7.10 0.947

3.4 391 0.7 7.4/8 0.91

3. 3:1 0.0: 7.193 0.919

3 401 /:.: 7.810 0.974

- 21 -


27/49


H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

.9 4/1 /:.81 7.:/8 0.98/

.8 41 /:.77 8.093 0.984

.7 431 /:.18 8.10 0.988

.3 441 /:.3/ 8.4/8 0.997

. 411 /:.3 8.193 0.99:

481 /:.01 8.:/8 0.9:1

/.9 4:1 /9.99 9.10 0.:0

/.8 101 /9.8: 9.4/8 0.:01

/.1 1/1 /9.7 9.193 0.://

/.4 11 /9.13 9.810 0.:/4

/.3 131 /9.41 9.:/8 0.:/8

/. 141 /9.37 :.093 0.:/

/./ 111 /9.8 :.10 0.:4

/ 171 /9./: :.4/8 0.:8 0.: 181 /9./0 :.193 0.:30

0.9 191 /9.0/ :.810 0.:34

0.8 1:1 /8.:3 :.:/8 0.:38

0.7 701 /8.94 /0.093 0.:40

0.1 7/1 /8.81 /0.10 0.:43

0.4 71 /8.78 /0.4/8 0.:48

0.3 731 /8.19 /0.193 0.:10

0. 741 /8.4: /0.810 0.:13

0 711 /8.3 /0.:/8 0.:70

/:.: 771 /8.3 //.093 0.:73

/:.9 781 /8./1 //.10 0.:78

/:.8 791 /8.07 //.4/8 0.:80

/:.7 7:1 /7.:8 //.193 0.:83

/:.1 801 /7.9: //.810 0.:88

/:.4 8/1 /7.90 //.:/8 0.:90

/:.3 81 /7.8/ /.093 0.:93

/:. 831 /7.73 /.10 0.:98

/:./ 841 /7.14 /.4/8 0.::0

/: 811 /7.41 /.193 0.::4/: 880 /7.41 /.933 0.::4

/9.: 891 /7.38 /3.093 0.::8

/9.9 900 /7.9 /3.333 /.00/

/9.9 9/1 /7.9 /3.193 /.00/

/9.1 941 /7.0 /4.093 /.0//

/9. 981 /1.87 /4.193 /.0

/8.: :01 /1.10 /1.093 /.03

/8.9 :71 /1.4 /7.093 /.037

/7. /71 /4.03 /.093 /.0:1

/1.8 /171 /3.70 7.093 /.//1

- 22 -


28/49


H =,)> T($)&" =#> H=,)> T($)&" =)(*> L*==BWH,"#=] >>6=BWH,"#=] >> >

/1.4 /971 /3.34 3/.093 /./7

/1 /71 /.:: 37.093 /./4

)@0/808

Tabla N° /3 R$#l!a+"# +$l Fa,!"' +$ C"''$,,(-* =F> $* S$+()$*!a,(-* I*,l(*a+a &a'a la

E,a,(-* +$ G'aa)La)a &a'a l"#

30^ 4/.4/ /.80 8.04 30.343

41^ 49.4 8.9 3/./4 8.87/

70^ 43.07 //.18 9.03 .094

Tabla N° /1 P"',$*!a;$ +$ $''"' +$ la# $l",(+a+$# +$ (*,l(*a,(-* +$ N? GL? LC ,"*

'$#&$,!" a la# $l",(+a+$# $%&$'()$*!al$#

N G L L C

30^ 37.48 19./1 /0.99

41^ 83.87 83.88 /./7

70^ :4.:9 48.70 7.:3

- 23 -


29/49


VI. DISCUSION DE RESULTADO

Pa'a l"# '$#l!a+"# +$ #$+()$*!a,(-* $'!(,al =$' Tabla N° 04 G'


30/49


VII. CONCLUSIONES

/. La '$la,(-* al!'a '$#&$,!" a !($)&" !a*!" $'!(,al ,")" (*,l(*a+a (*(,(al)$*!$ !($*$ *

,")&"'!a)($*!" l(*$al ,"*#!a*!$ ,"* la ,al #$ alla la $l",(+a+ +$ #$+()$*!a,(-*

$%&$'()$*!al? l$5" ,"*"')$ a a)$*!a*+" $l !($)&" la al!'a +(#)(*$.

. La $l",(+a+ $%&$'()$*!al +$)$#!'a $ a )a"'


31/49


VIII. RECOMENDACIONES

/. A*!$# +$ $)&$a' la &'


32/49


IX. BIBLIOGRAIA

1.- BADGER [ILLIAM BANCHERO _ULIUS? I*!'"+,,(-* a la I*5$*($'a Q)(,a

E+. M,G'a` H(ll M2%(," /:74 P


33/49


X. AP!NDICE 01

E#EMPLO DE C$LCULOS

- 2$ -


34/49


SEDIMENTACIÓN ERTICAL

/. D$!$')(*a,(-* +$ la $,a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $* *,(-* +$ la

,"*,$*!'a,(-*.

D$l 5'a(," N° 0. T($)&" =)(*.> #. H =,).> #. #$ "b!" la $,a,(-* l(*$al +$ la

#$,,(-* '$,!a +$ la ,'a &a'a *a ,"*,$*!'a,(-* +$ 400 56L.

@ 1499% W 3100/

D$ la $,a,(-* "b!$*(+a #$ "b!($*$ la $l",(+a+ +$ #$+()$*!a,(-*

@ 1.499 ,). 6)(*.

D$l 5'a(," N° 0 #$ "b!($'"* 3 ,"*,$*!'a,("*$# ,"* ## '$#&$,!(a# $l",(+a+$#

#$5J* $l )2!"+" a *,

C" H(

H"C( =

D"*+$

C" @ C"*,$*!'a,(-* +$ la ,$'a $* +"*+$ $#!$ !'aba;"

H" @ Al!'a (*(,(al &a'a $#a ,"*,$*!'a,(-*

H( @ I*!$'#$,,(-* +$ la !a*5$*!$ a la 5' #. $l",(+a+ =,). 6)(*.> #$ "b!($*$ la

$,a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* $'!(,al

@ /0:C 3./07

- 2% -


35/49


SEDIMENTACIÓN INCLINADA

. D$!$')(*a,(-* +$ la $l",(+a+ +$ #$+()$*!a,(-* )$+(a*!$ +($'$*!$# $,a,("*$#.

./. MTODO EXPERIMENTAL

La $l",(+a+ +$ #$+()$*!a,(-* (*,l(*a+a #$ ,al,la +$l a;#!$ +$ la &"',(-* '$#!a

+$ la# ,'a# T =)(*.> #. H =,).>.

Pa'a *a ,"*,$*!'a,(-* +$ 400 56L +$ BaSO4 $* $l !b" ,(',la' ,"* *a #$,,(-*

!'a*#$'#al +$ 3.87 ,) *


36/49


.3. ECUACIÓN DE GRAHAMLAMA

&

+ 1 cos

(*, .

H F

Bβ

= +

La $,a,(-* +$ G'aa)La)a (*,l$ $* la $,a,(-* +$ Naa)'a'"+a $l

a,!"' F +$ ,"''$,,(-*.

D(," a,!"' F $# ,al,la+" +$ la &$*+($*!$ +$ la &"',(-* +$ '$,!a +$l 5'


37/49


XI. AP!NDICE 02

DEMOSTRACIÓN PARA LA OBTENCIÓN DE LA ECUACIÓN

UE DESCRIBE AL ACTOR DE GRAAM LAMA.

- 32 -


38/49


SIMBOLOS

al!'a

! !($)&"

S $l",(+a+ +$ #$+()$*!a,(-*.

' ,"$(,($*!$ +$ ,"''$la,(-*

C ,"*,$*!'a,(-*

C O ,"*,$*!'a,(-* +$ la #"l,(-* &'$&a'a+a.

.a . * ,"*#!a*!$# +$ la '$la,(-* +$ (*,.

R al"' +$l *($l +$ la (*!$'a#$ $* la &'"b$!a +$ #$+()$*!a,(-* (*,l(*a+a.

α


39/49


B

B

B

4 F S

+!

+4

+cos+

cos+cos+1++

α

α α

+=

− +

cos

cos++

+=

−4

B

B

F S

+!

+4

α

α

∫ ∫ =

=

+

−4

4

!

!

+! D

F S.

4 B

+4

& &+

cos+++4

cos

π

α

α

! D

F S.

4 B

4 B

+

cos+++4

cos

cos

cos

cos

ln

&

π

α

α

α α

α

=

+

+

! D

F S.

4 B

4 B

+

cos+++4

cos

cosln

&

π

α

α

α =

++

! D

F S.

4 D

4 D

+

cos+++4

cos4*+

cos4*+ln

&

π

α

α π

α π =

++

! D

F S.

4 D

4 D

+

cos+++4

cos4+

cos4+ln

&

π

α

α π

α π =

++

D

F S.)

+

cos+++4

π

α =

α

π

cos++4 S.

D) F =

- 34 -


40/49


XII. AP!NDICE 03

GR$ICAS

- 3! -


41/49


Gráfico N° 01: Determinación de la velocidad experimental de sedimentación

vertical de BASO4 !00 "#$%

0

&

10

1&

'0

'&

!0

!&

40

0 10 '0 !0 40 &0 (0 )0 *0 +0 100 110 1'0

,iempo min%

-

c m %

Gráfico N° 0': Determinación de la tendencia $ineal de la velocidad

experimental de sedimentación vertical de BASO4 !00 "#$%

. / 140(*x 2 !4*4+

3' / 0++04

1)00

1+00

'100

'!00

'&00

')00

'+00

!100

!!00

!&00

!)00

000 0'0 040 0(0 0*0 100 1'0 140

,iempo min%

-

c m %

- 3" -


42/49


Gráfico N° 0!: Determinación de la velocidad experimental de sedimentación

vertical de BASO4 400 "#$%

0

&

10

1&

'0

'&

!0

!&

40

0 10 '0 !0 40 &0 (0 )0 *0 +0 100 110 1'0

,iempo min%

-

c m %

Gráfico N° 04: Determinación de la tendencia lineal de la velocidad experimental

de sedimentación vertical de BASO4 400 "#$%

. / &4**x 2 !&001

3' / 0++*+

'000

''00

'400

'(00

'*00

!000

!'00

!400

!(00

000 0&0 100 1&0 '00 '&0 !00

,iempo min%

-

c m %

- 3# -


43/49


Gráfico N° 0&: Determinación de la velocidad experimental de sedimentación

vertical de BASO4 &00 "#$%

0

&

10

1&

'0

'&

!0

!&

40

0 10 '0 !0 40 &0 (0 )0 *0 +0 100 110 1'0

,iempo min%

-

c m %

Gráfico N° 0(: Determinación de la tendencia $ineal de la velocidad

experimental de sedimentación vertical de BASO4 &00 "#$%

. / ')!')x 2 !!+013' / 0+++&

1)00

1+00

'100

'!00

'&00

')00

'+00

!100

!!00

!&00

000 100 '00 !00 400 &00 (00

,iempo min%

-

c m %

- 3$ -


44/49


Gráfico N° 0): Determinación analtica de la velocidad de sedimentación vertical

para !00 "#$ BaSO4 56todo 7.nc8

. / )9210x!*!'&

3' / 0+*&'

000

&00

1000

1&00

'000

'&00

!000

'0000 40000 (0000 *0000 100000 1'0000 140000

oncentración "#$%

; e l o c i d a d c m

# m i n %

Gráfico N° 0*: Determinación analtica de la velocidad de sedimentación vertical

para 400 "#$ BaSO4 56todo 7.nc8

. / !9210x!(++&

3' / 0+*!+

000

100

'00

!00

400

&00

(00

!0000 40000 &0000 (0000 )0000 *0000 +0000 100000 110000

oncentración "#$%

; e l o c i d a d c m # m

i n %

- 3% -


45/49


Gráfico N° 0+: Determinación analtica de la velocidad de sedimentación vertical

para &00 "#$ BaSO4 56todo 7.nc8

. / '9210x!(40!

3' / 0++0!

000

0&0

100

1&0

'00

'&0

!00

!&0

40000 &0000 (0000 )0000 *0000 +0000 100000 110000 1'0000

oncentración "#$%

; e l o c i d a d c m

# m i n %

Gráfico N° 10: omparación de la velocidad analtica de sedimentación vertical

para cada concentracion de BaSO4 56todo 7.nc8

000

'00

400

(00

*00

1000

1'00

14001(00

1*00

'000

000 '0000 40000 (0000 *0000 100000 1'0000 140000

oncentración "#$%

; e l o c i d a d c m # m i n %

!00"#$ BaSO4

400"#$ BaSO4

&00"#$ BaSO4

- 4& -


46/49


Gráfico N° 11: Determinación de la velocidad experimental de

sedimentación vertical en f


47/49


Gráfica N° 1!: Determinación del ?actor de orrección ? de la ec


48/49


Gráfica N° 1&: Determinación del ?actor de orrección ? de la ec


49/49


Gráfica N° 1): Determinación del ?actor de orrección ? de la ec

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