146090743 Molienda y Tamizado Grupod Prof Meneses

Laboratorio de Ingeniería Química II FQIQ-UNMSM FQIQ-UN MSM

Molienda y Tamizado

UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS

FACULTAD DE QUIMICA E INGENIERIA QUIMICA E.A.P: INGENIERIA QUIMICA DEPARTAMENTO ACADÉMICO DE OPERACIONES UNITARIAS LABORATORIO DE INGENIERÍA QUÍMICA II MOLIENDA Y TAMIZADO PROFESOR: ALUMNOS: GUTIERREZ GUTIERRE Z FALCON, LUIS SANTIAGO SALAZAR SALAZA R MUÑANTE ,SARITA SUHEY VELASQUEZ REATEGUI RENE QUINCHO LACHIRA ULISSA LINGAN CAR!ENAS ISMAEL

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Molienda y Tamizado

TABLA DE CONTENIDO

Pá gina RESUMEN

06

INTRODUCCIÓN

07

PRINCIPIOS TEÓRICOS

08

DETALLES EXPERIMENTALES

19

TABULACION Y RESULTADOS

21

DISCUSIÓN DE RESULTADOS

2

CONCLUSIONES



RECOMENDACIONES

!

BIBLIO"RA#$A

%

AP&NDICE

6

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Molienda y Tamizado

ÍNDICE DE TABLAS T#$L#S

P-.#/ Ta'(a N) 01* Da+,- ./ M,(i/n.a

21

Ta'(a N 02* C,n.ii,n/- ./ O/3ai,n/- ./( M,(in,

21

Ta'(a Ta'(a N 0* Ca3a+/34-+ia- ./( Ma45

22

Ta'(a N N 0! 0!* An Aná(i-i- "3 "3an(,+3i, Di Di/3/n 3/nia( ./ ./( A( A(i/n+, a( a( M, M,(in,

2

Ta'(a N 0%* Aná(i-i- "3an(,+3i, ./( A(i/n+, a( M,(in,

2

Ta'(a N 06* Aná(i-i- "3an(,+3i, ./( P3,.+, ./( M,(in,

2!

Ta'(a Ta'(a N N 07* :3/a E-/4 E-/4ia ia ./( ./( Ma45 /n (a A(i/n+ai A(i/n+ai;n ;n a( M,(in, M,(in, < ./-./-- 2! ./ (a M,(i/n.a Ta'(a Ta'(a N 08* Aná(i-i- "3an(,+3i, ./ g3/-,- =3/+/ni., 1> /n /( C(a-iia.,3 2% =Ma((a 10> Ta'(a Ta'(a N 09* Aná(iAná(i-ii- "3an(, "3an(,+3i, +3i, ./ ./ /.i,/.i,- =3/+/ni., =3/+/ni., 2> /n /( C(a-i C(a-iia.,3 ia.,3 26 =Ma((a 20> Ta'(a Ta'(a N 10* Aná(i-i- "3an(,+3i, ./ in,- =3/+/ni., > /n /( C(a-iia.,3

27

=CIE"O> Ta Ta'(a N 11* Ma-a +,+a( ./ (,- 3,.+,- (a-iia.,-

28

Ta'(a N 12* D/+/3inai;n ./( /3ni., ./( +ai5 a((a 10

28

Ta'(a N 1* Eii/nia ./( (a-iia.,3 ./ a((a 10

29

Ta'(a N 1!* Eii/nia ./( (a-iia.,3 ./ a((a 20

0

Ta'(a N 1%* R/-(+a.,- ./ (a ,(i/n.a

1

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Molienda y Tamizado

ÍNDICE DE GRÁFICOS "R:#ICOS

Pág. "3ái, N) 01* ? 3/+/ni., @- (,g=D> ./ (a a(i/n+ai;n !! "3ái, N) 02* ? a(a., @- (,g=D> ./ (a a(i/n+ai;n

!!

"3áia N) 0* ? 3/+/ni., @- (,g=D> a3a /( 3,.+, ./( ,(in,

!%

"3áia N) 0!* ? a(a., @- (,g=D> a3a /( 3,.+, ./( ,(in,

!%

"3áia N) 0%* ? 3/+/ni., @- (,g=D> a3a (,- g3/-,-

!6

"3áia N) 06* ? a(a., @- (,g=D> a3a (,- g3/-,-

!6

"3áia N) 07*? 3/+/ni., @- (,g=D> a3a (,- /.i,-

!7

"3áia N) 08*? a(a., @- (,g=D> a3a (,- /.i,-

!7

"3áia N) 09* ? 3/+/ni., @- (,g=D> a3a (,- in,-

!8

"3áia N) 10*? a(a., @- (,g=D> a3a (,- in,-

!8

4

Laboratorio de Ingeniería Química II FQIQ-UNMSM

Molienda y Tamizado

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RESUMEN E# 9/ &4<. <# 12'0 ?- $ (/ $#$4, 9% <"/9$% ;"$4# /9.($#/% / "# (9.# $ 12 <"<.99/%, / "#/ $9<./ $ /9.($#/<.># $ 363'6 ?- (/+ ' P/4/ <9/%.;. "# <9/%.;.
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Molienda y Tamizado

INTRODUCCIÓN M"<% (/$4./9$% %>9.% %$ $#<"$#4/# $# 9/ #/"4/9$/ <# .($#%.#$# $9$//%, &/4/ ".9./4% $9 (74$ $%$ ("< .$(& /4% / $%/4499/ .%.#% (% 7$#$4 ($=4$% &4"<% $ 9% (.%(%, /% %$ $%/4499 9/ (9.$#/ B $9 /(./ <( $44/(.$#/% &/4/ 9/ 4$"<<.># $ /(/K, &/4/ $99 /B J"$ &4# $ #' L/ &$4/<.># $ (9.$#/ # %9 <#%.%$ $# 7$#$4 &/4<"9/% &$J"$K/% / &/4.4 $ 4/% $ (/B4 /(/K, $# <"B 9 9/ $;$<../ $ 9/ &$4/<.># %$ ($.4 &4 9/% &/4<"9/% ;.#/% $ 9% (/$4./9$% 7$#.% %.# /(7.# 9/ 7$#<.># $ "# &4"< J"$ &/%/ "# $$4(.#/ /(/K -4/#"9/4, <(&4$#. $#4$ 9(.$% &4$$%/79$<.%' L/% $.-$#<./% $ /(/K &/4/ .$4%% &4"<% &"$$# /4./4 B $ / J"$ %$ $(&.$<$# $ .;$4$#$% (J".#/% B &4<$.(.$#%' E# -4/# $ #($4
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Molienda y Tamizado

PRINCIPIO TEÓRICO MOLIENDA E% "#/ &$4/<.># "#./4./ J"$ %$ 4$;.$4$ / 9/ &"9$4./<.># B / 9/ $%.#$-4/<.># $9 (/$4./9 %>9., $%% % 4(.#% %$ .;$4$#<./# $#4$ %, &"$% (/# $# <"$#/ .;$4$#$% /%&$<% $9 (/$4./9 /9.($#/' E%&$<;.# %$ 4$;.$4$ / 9/ 4$"<<.># $9 /(/K $ /-4$-/% $ &/4<"9/% 79/#/% 7.9($#$ 9.-//% $#4$ %' E% $<.4, J"$ # %$ &4"<$ #.#-# #, &4 %" &/4$, .(&9.# $9 /(/K $ 9/% &/4<"9/% ;"#/($#/9$% $ 9/% %"%/#<./%'

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Molienda y Tamizado

C( $9 #(74$ .(&9.# &4 <(&4$%.># %$ /<$ $#4$ % %"&$4;.<.$% #$ $9 4/7/= $%/ $</ &4 "#/ " 4/ %"&$4;.<.$' L/% 4."4/4/% $ (/#7"9/ "%/# $9 ( $ <(&4$%.># B %# 4$<($#/79$% &/4/ 4$"<.4 4# B # %# 4$<($#/79$% &/4/ 4# $ ;4.<<.># /<$#/ $9 $%-/%$ $ 9/% %"&$4;.<.$% $ 9/ 4."4/4/' C( "# ( $ 4$"<<.># ($<#.< 9/ <(&4$%.># %$ 4$/9.<$ 7/= 9/% %.-".$#$% <.4<"#%/#<./%: S. $9 (/$4./9 $% "4 B 4$%.%$#$' S. $9 (/$4./9 $% /74/%.' S. $9 (/$4./9 # $% &$-/=%' C"/# $9 (/$4./9 %$ 4(&$4 $# ;4(/ <7.# %.# ;4.<<.># B/ J"$ /-/44/ $9 (/$4./9 ;.4($($#$ B $# #-"9 4$<, # $% "#/ /<<.# &/4/ 4$"<.4 9/ # $ /(/K%, %# &4 /# 79$%' L/ &4"<<.># $ <"$4&% %>9.% <# "#/ $$4(.#// /(&9." $ /(/K -4/#"9/4  <# %"&$4;.<.$% $%&$<;.#, &4 ;4/<"4/, $ (.#$4/9$%  <4.%/9$% $ <(&"$%% J"(.<% J"$ %$ /99/# #.(/($#$ /%<./% $# $9 $%/ %>9.' P/4/ 4$/9./4 "#/ &$4/<.># $ $%.#$-4/<.># ($<#.< $% #$<$%/4. J"$ # .4$</ $ 9/% &/4$% (>.9$% $ 9/ (J".#/' A9 &4&/-/4 9/ /<<.># $%.#$-4/4/ /"($#/ $9 #($4 $ &/4<"9/%, 9 J"$ $.-$ (/B4 #($4 $ <#/<% &4 "#./ $ # $ /(/K%' E# 9/ &4<.# $ /(/K% %>9.% $%$ 0,30(  (% $ .($4, /%/ $9 $ 100 (/99/%, %"$9$ #$<$%./4%$, &4 9 ($#%, 4$% $/&/% J"$ %$ $%/79$<$# %$-# 9% .&% $ (J".#/% ($=4 //&//% /

Molienda y Tamizado

1' R$"<<.># $ /(/K ;/%/  -4%$4/: /9.($#/<.># $%$ 5 / 250<(  (%' 2' R$"<<.># .#$4($./ $ /(/K%: /9.($#/<.># $%$ 2 / 8<(' 3' R$"<<.># ;.#/ $ /(/K: /9.($#/<.># $%$ 0,5 / 1,5<('

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E0*(,!# ,-)- )%"*&&(+' ('%)$%"(! E% 99$// / #.<% (.% &4 $9 479, &4.#<.&/9' E9 &$% /9 $ 9/ #' L/ /9.($#/<.># $ 9% 4."4/4$% $ <# $7$ $ $%/4 %$
E0*(,!# ,-)- )%"*&&(+' "% -$-1!# 2('!# 12


Molienda y Tamizado

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Er = Kr .

!#$: 13


Molienda y Tamizado

ER: $#$4-/ $#4$-// &4 "#./ $ 9"($# ?R: <#%/#$ 1 : /(/K .#.<./9 $ 9/ &/4<"9/ 2 : /(/K ;.#/9 $ 9/ &/4<"9/ S2: %"&$4;.<.$ $%&$<.;.9. # $% $(/%./ -4/#$ &$4 $%/79$<$ J"$ $9 4$#.(.$# $ 4."4/<.># $% <#%/#$ B J"$ &/4/ "#/ (J".#/ B "# (/$4./9 $ /9.($#/<.># /% $% .#$&$#.$#$ $ 9% /(/K% $ /9.($#/<.># B $9 &4"<'

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 = W i . 

10

P 80

−

10

F 80

  2  

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Molienda y Tamizado

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= 100.(

X X 0

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3

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TAMIZADO L/ %$&/4/<.># $ (/$4./9$% %>9.% &4 %" /(/K $% .(&4/#$ &/4/ 9/ &4"<<.># $ .;$4$#$% &4"<% $=' /4$#/% %9.# &/4/ &$4(..4 J"$ $9 (/$4./9 (% ;.# 4/%&/%$ $9 /(.' !$ "# /(.  (/99/ %$ 7.$#$# % ;4/<<.#$%, 9% -4"$%% B 9% ;.#%: 9/ #($#<9/"4/ $% 9/ %.-".$#$, &/4/ 9/ (/99/ 100, W 100 .#.

Molienda y Tamizado

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=

Dx D Fx F

'*

16


Molienda y Tamizado

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=

B(1 − x B ) F (1 − x F )

''5

S$ &"$$ $;.#.4 "#/ $;.<.$#<./ -97/9 <(7.#// <( $9 &4"< $ 9/% % 4$9/<.#$% .#.."/9$%, $ ;4(/ J"$ %. %" &4"< %$ &4$%$#/ &4 E: E

E

=

E A E B

( x F

−

D B x D (1 =

2

F x F (1

x B )( x D

−

=

( x D

−

x B )

2

−

x B )

−

x F )

x F ) x D (1

(1

−

6 −

x F ) x F

x B )



P!)!#("-" "% /%&4!# L/ ;4(/ B /(/K $ 9/% &/4<"9/%, J"$ $(% .%<". /#$4.4($#$, %.# &4&.$/$% 7%.# $ /(/K% $ &/4<"9/%' G$#$4/9($#$ 9/ ;/%$ $ %>9.% ...%, &"$$ <(&4/4%$ $# ;4(/ <#4/4./ / 9/% &/4<"9/% J"$ $.%$# $# $99/' E%/ ;/%$ &"$$ $.%.4 <( "# 9$< $%/<.#/4., "# 9$< ;9"../  "#/ #.$79/' E# <"/9J".$4 # $ 9"($# /<  &4%./' L/ ;4(/ $ 9/% &/4<"9/% $% "#/ /4./79$ ("B .(&4/#$ $# 9/ $$4(.#/<.># $ 9/ &4%./' M.$#4/% ($#4 $% 9/ $%;$4.<./ $ 9/ &/4<"9/, (% /7.$4 $% $9 9$<' L/% &/4<"9/% %$ %$.($#/# "#/% %74$ 4/% B %$ $(7
''' 8

F-&!) "% 2!)$L/ ;4(/ $ 9/% &/4<"9/% %>9./%, &"$$# %$4 /# .(&4/#$ <( 9/ .%4.7"<.># $ /(/K% $ 9/% &/4<"9/%' E# 9% $%/4499% /#$4.4$%, %$ / %"&"$% J"$ 9/ ;4(/ # /4/ <# $9 /(/K $ 9/% &/4<"9/%, &$4 # %$ / <#%.$4/ &%$4.4($#$ 9/ ;4(/' L/ $;.#.<.># $9 ;/<4 $ ;4(/, $&$#$4 $ <"9 $% 9/ .($#%.># $ .(&4/#<./ $ 9/% &/4<"9/%, 9/ %"&$4;.<.$, $9 9"($#  9/ .%(.#"<.># 9.#$/9'

17


Molienda y Tamizado

E% &%.79$ 7$#$4 9/ $%;$4.<./ ($./#$ -4/;.9.%, J"$ /4/# %$-# 9/ <#.<.># $ /J"$99/ %"&$4;.<.$ B $9 /(/K $ 9/% &/4<"9/% B $%/ / &4: S  6  [ 11 \ !(&. !(&.: .($4 &4($. : ;4/<<.># $# &$

18


Molienda y Tamizado

DETALLES E5PERIMENTALES

D(#%1! "%/ M!/('! "% C*&4(//-# M"$%4/: •

12 ?-', $ (/ $#$4'

EJ".& Y M/$4./9$%: •

U# (9.# $ 12 <"<.99/% $ /<$4 .#./79$'

•

U# /79$4 &/4/ ($.4 $9 <#%"( $ $#$4-/ $9<4.
•

U# <"/4$/4 &/4/ %$&/4/4 9/% ("$%4/% $ -4/# (9. $# &/4$% .-"/9$%'

•

U# ="$- $ /(.<

%$•

U#/ 7/9/#/'

•

U#/ &47$/'

•

C9/%.;.
Laboratorio de Ingeniería Química II FQIQ-UNMSM •

4</%

•

9%/%

Molienda y Tamizado

P4<$.(.$#: 1' E9.(.#/4 9/% &/4<"9/% $4/K/% $9 (/' 2' R$/9./4 $9 .($#%.#/(.$# /&4.(/ $ "#/ ("$%4/ 4$&4$%$#/./ $ (/' 3' P$%/4 9/ ("$%4/ $ (/ 9.74$ $ /-$#$ $4/K%' *' P$%/4 <.$4/ #' 5' P$%/4 "#/ #' 6' E4/$4 "#/ ("$%4/ 4$&4$%$#/./ $ /9.($#/<.># B 4$/9./4 $9 /#9.%.% -4/#"9(4.< ".9./# 9/% (/99/% 1+*D 1+2D *, 6' ' E#<$#$4 $9 (9.# %.# # $9 &4"< 7$#.'(/99/ 10 B 20 11' T/(./4 9/% ("$%4/% 7$#./% $9 <9/%.;.
TABULACIÓN DE DATOS Y RESULTADOS 20


Molienda y Tamizado

T-6/- N7 89: D-!# "% M!/(%'"(/%/ $ /9.($#/<.># ?-'

12

T.$(& $ (9.# %

120

T-6/- N7 8: C!'"(&(!'%# "% O,%)-&(!'%# "%/ M!/('!

SIN CARGA

P4($.

V9/=$ V

2*0

C%]

0'2

I#$#%./ A

5'3

CON CARGA

P4($.

V9/=$ V

220

C%]

0'2

I#$#%./ A

12

T-6/- N7 8;: C-)-&%)3#(&-# "%/ M-3

21


Molienda y Tamizado

ALIMENTO AL MOLINO P$% $ ("$%4/ $ (/ P$% $ ("$%4/ $ (/ -' -' 2*,3 26, V9"($# /&/4$#$ (9' V9"($# /7%9" (9' 30

20

!$#%./ /&/4$#$ -+(9

!$#%./ /7%9"/ -+(9 0,81 1,335

P4%./ 0,33 E%;$4.<./ 0,5 F/<4 $ ;4(/ 1,258 MAIZ MOLIDO P$% $ ("$%4/ $ (/ P$% $ ("$%4/ $ (/ -' -' 26,2 1*, V9"($# /&/4$#$ (9' V9"($# /7%9" (9' *1

10

!$#%./ /&/4$#$ -+(9

!$#%./ /7%9"/ -+(9 0,6* 1,*

P4%./ E%;$4.<./ F/<4 $ ;4(/

0,565 0,55 1,818

T-6/- N7 8<: A'á/(#(# G)-'*/!$é)(&! D(2%)%'&(-/ "%/ A/($%'! -/ M!/('!

$-//1+* .#

$-#- =g> 506,5

-6%)*)- =*$> 6300,0 22


* 6 10 12 1* 16 20 30 *0 50 0 100 1*0 200 20 P9/

501,0 *30,2 *0,5 *33,5 3,5 **3,* 386,5 33, 30, 31, 361,0 353,6 3*8,3 31*,5 3**, 336,5

Molienda y Tamizado

*50,0 3350,0 2000,0 1680,0 1*10,* 1180,0 850,* 600,0 *25,0 300,0 212,0 150,0 106,0 5,0 63,0 ))))

Tabla Nº 05: Análisis Granulométrico del Alimento al Molino

$-//10 20 CIEGO

D, -6%)*)- $-#- $-( ? -&*$*/-"! ,)!$%"(! =g> 5)%%'("? 5 )% 2000 5000 *3,5 *3,5 850 5000 *3,5 8,0 600 1500 13,0 100,0 T!-/ 9988 98888

?5 ,-#-'% 100,0 56,5 13,0

5)%@D, =&$ 9> 2,2 5,1 2,2 <

/!g =D,> 3,3 2, 2,8 ^.+!&

T-6/- N7 8: A'á/(#(# G)-'*/!$é)(&! "%/ P)!"*&! "%/ M!/('!

$-//-

D, -6%)*),)!$%"(!

$-#-$( $-( =g>

$-# ? -&*$*/-" ?5 5)%@D, $-( =g> 5)%%'("- ! ? 5 )% ,-#-'% =&$ 9> /!g =D,> 23


1+* . )1+* W* . )* W 6 . )6 W 10 . )10 W 12 . )12 W 1* . )1* W 16 . )16 W 20 . )20 W 30 . )30 W *0 . )*0 W 50 . )50 W 0 . )0 W 100 . )100 W 1*0 .)1*0 W 200 . )200 W 20 . ) 20

5525,0 *050,0 265,0 18*0,0 15*5,2 125,2 1015,2 25,2 512,5 362,5 256,0 181,0 128,0 0,5 6,0 63,0

501,0 *30,2 *22, *51, 30,2 *2, *0*,0 388,2 36, 3,2 368,1 35*,6 3*8,3 31*,5 3**, 3**, !-/

0,0 0,0 15,2 18,2 12, 2,5 1,5 1*,5 5,8 5,3 ,1 1,0 0,0 0,0 0,0 0,0 99

Molienda y Tamizado

0,0 0,0 12,0 1*,* 10,0 23,3 13,8 11,* *,6 *,2 5,6 0,8 0,0 0,0 0,0 0,0 98888

0,0 0,0 12,0 26,3 36,* 5,6 3,* 8*, 8,* 3,6 ,2 100,0 100,0 100,0 100,0 100,0

100,0 100,0 100,0 88,0 3, 63,6 *0,* 26,6 15,1 10,6 6,* 0,8 0,0 0,0 0,0 0,0

0,0 0,0 0,* 0,8 0,6 1,8 1,* 1,6 0, 1,2 2,2 0,* 0,0 0,0 0,0 0,0 99

3, 3,6 3,* 3,3 3,2 3,1 3,0 2, 2, 2,6 2,* 2,3 2,1 2,0 1,8 1,8

T-6/- N7 8H: Á)%- E#,%&32(&- "%/ M-3 %' /- A/($%'-&(+' -/ M!/('!  "%#,*é# "% /- M!/(%'"MAÍZ AJ =&$ @g> DK# =&$> I'&)%$%'! =&$ @g>

A/($%'-&(+' -/ $!/('!

53'*8

0'106

A/($%'-&(+' -/ &/-#(2(&-"!)

83'85

0'012

30'3

T-6/- N7 8: A'á/(#(# G)-'*/!$é)(&! "% g)*%#!# =)%%'("! 9> %' %/ C/-#(2(&-"!) =M-//- 98>

$-//-

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$-# ? -&*$*/-" ?5 5)%@D, $-( =g> 5)%%'("- ! ? 5 )% ,-#-'% =&$ 9> /!g

1+* 24


Molienda y Tamizado

. )1+* W*

5525,00

501,00

0,00

0,00

0,00

100,00

0,00

3,

. )* W 6

*050,00

*30,20

0,00

0,00

0,00

100,00

0,00

3,

. )6 W 10

265,00

**2,20

3*,0

21,2

21,2

100,00

0,80

3,

. )10 W 12

18*0,00

*8,00

**,50

2,30

*8,5

8,1

1,*8

3,

. )12 W 1*

15*5,20

*0*,*0

26,0

16,50

65,0

51,*1

1,0

3,

. )1* W 16

125,20

*6*,20

20,80

12,6

,85

3*,1

0,

3,

. )16 W 20

1015,20

33,0

,20

*,*2

82,26

22,15

0,**

3,

. )20 W 30

25,20

3,0

*,01

2,*6

8*,2

1,*

0,3*

2,

. )30 W *0

512,50

33,50

2,60

1,5

86,32

15,28

0,31

2,

. )*0 W 50

362,50

33,10

1,20

0,*

8,06

13,68

0,20

2,

. )50 W 0

256,00

32,*0

11,*0

6,

*,05

12,*

2,3

2,

. )0 W 100

181,00

363,30

,0

5,5

100,00

5,5

3,2

2,

. )100 W 1*0

128,00

3*8,30

0,00

0,00

100,00

0,00

0,00

2,

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0,50

31*,50

0,00

0,00

100,00

0,00

0,00

1,

. )200 W 20

6,00

3**,0

0,00

0,00

100,00

0,00

0,00

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63,00

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0,00

0,00

100,00

0,00

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98888

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$-# ? -&*$*/-" ?5 5)%@D, $-( =g> 5)%%'("- ! ? 5 )% ,-#-'% =&$ 9> /!g =D,>

1+* 25


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. )1+* W*

5525,00

501,00

0,00

0,00

0,00

100,00

0,00

3,*

. )* W 6

*050,00

*30,20

0,00

0,00

0,00

100,00

0,00

3,61

. )6 W 10

265,00

*0,50

0,00

0,00

0,00

100,00

0,00

3,*3

. )10 W 12

18*0,00

*35,80

2,30

1,60

1,60

100,00

0,0

3,26

. )12 W 1*

15*5,20

30,00

12,50

8,0

10,30

8,*0

0,56

3,1

. )1* W 16

125,20

*6,*0

53,00

36,88

*,18

8,0

2,85

3,11

. )16 W 20

1015,20

*28,0

*2,*0

2,50

6,68

52,82

2,1

3,01

. )20 W 30

25,20

3,20

25,51

1,5

*,*3

23,32

2,*5

2,86

. )30 W *0

512,50

36,80

5,0

*,11

8,5*

5,5

0,80

2,1

. )*0 W 50

362,50

32,0

1,00

0,0

,23

1,*6

0,1

2,56

. )50 W 0

256,00

361,0

0,0

0,63

,86

0,

0,2*

2,*1

. )0 W 100

181,00

353,80

0,20

0,1*

100,00

0,1*

0,08

2,26

. )100 W 1*0

128,00

3*8,30

0,00

0,00

100,00

0,00

0,00

2,11

.)1*0 W 200

0,50

31*,50

0,00

0,00

100,00

0,00

0,00

1,6

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6,00

3**,0

0,00

0,00

100,00

0,00

0,00

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63,00

3**,0

0,00

0,00

100,00

0,00

0,00

1,80

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98888

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$-//-

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5)%@D, /!g =D,>

26


Molienda y Tamizado

-6%)*),)!$%"(!

-$( $-( =g>

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5)%%'("-

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5525,00

501,00

0,00

0,00

0,00

100,00

0,00

3,*

. )* W 6

*050,00

*30,20

0,00

0,00

0,00

100,00

0,00

3,61

. )6 W 10

265,00

*0,50

0,00

0,00

0,00

100,00

0,00

3,*3

. )10 W 12

18*0,00

*33,50

0,00

0,00

0,00

100,00

0,00

3,26

. )12 W 1*

15*5,20

3,50

0,00

0,00

0,00

100,00

0,00

3,1

. )1* W 16

125,20

**3,*0

0,00

0,00

0,00

100,00

0,00

3,11

. )16 W 20

1015,20

388,50

2,00

1,8

1,8

100,00

0,18

3,01

. )20 W 30

25,20

386,*0

12,1

11,86

13,2

8,13

1,63

2,86

. )30 W *0

512,50

*0*,*0

33,50

31,25

**,

86,28

6,10

2,1

. )*0 W 50

362,50

*00,80

28,0

26,6

1,2

55,03

,**

2,56

. )50 W 0

256,00

30,0

2,0

2,0

,63

28,08

10,82

2,*1

. )0 W 100

181,00

35*,00

0,*0

0,3

100,00

0,3

0,21

2,26

. )100 W 1*0

128,00

3*8,30

0,00

0,00

100,00

0,00

0,00

2,11

.)1*0 W 200

0,50

31*,50

0,00

0,00

100,00

0,00

0,00

1,6

. )200 W 20

6,00

3**,0

0,00

0,00

100,00

0,00

0,00

1,8*

. ) 20

63,00

3**,0

0,00

0,00

100,00

0,00

0,00

1,80

!-/

98H9

98888

1+*

9H

T-6/- N7 99: $-#- !-/ "% /!# ,)!"*&!# &/-#(2(&-"!# ,)!"*&!

$-#- $-( =g>

2)-&&(+'

-4"$%%

5000

0'*35

($.%

5000

0'*35

F.#%

1500

0'13 27


T!-/

Molienda y Tamizado

11500

1'00

T-6/- N7 9: D%%)$('-&(+' "%/ &%)'("! "%/ -$( $-//- 98

N T-$( 1+* . )1+* W* . )* W 6 . )6 W 10 . )10 W 12 . )12 W 1* . )1* W 16 . )16 W 20 . )20 W 30 . )30 W *0 . )*0 W 50 . )50 W 0 . )0 W 100 . )100 W 1*0 .)1*0 W 200 . )200 W 20 . )20 !-/

-'-/(#(# g)-'*/!$%)(&! $%"(!# $%"(!# 2('!# 5 $-#5 $*%#)- )%%'("- !-/ g $*%#)- )%%'("-

0 0 0 2,3 12,5 53 *2,* 25,51 5, 1 0, 0,2 0 9<;H9

0 0 0 0,016 0,08 0,3688 0,25 0,15 0,0*11 0,00 0,0063 0,001* 0 9

0 0 0 80,0223 *3*,036 18*3,1 1*5,13 88,5513 205,2*5 3*,23 31,3131 6,585 0 888

0 0 0 0 0 0 2 12,1 33,5 2, 0,* H;9

0 0 0 0 0 0 0,0255 0,1623 0,*28 0,33 0,0051 9

2('! $-#!-/ g

&%)'("! 5 $-#- g )%'("-

0 0 0 0 0 0 80,0223 0 *3*,036 0 18*3,1 0 1*5,13 0 88,5513 38,303 2*3,5838 2*3,*555 28,2*8 6*1,6805 62,36 568,82 55,8513 ,661 ,661 988 88

0 0 0 0 0,0123 0,066 0,283 0,22 0,1365 0,035 0,0*28 0,1035 0,0886 0,0012 9

T-6/- N7 9;: E2(&(%'&(- "%/ &/-#(2(&-"!) "% $-//- 98

A/($%'-&(+' N T-$(

R%&4-!

C%)'("!

. )%%'("!

5)%%'("!

.)%%'("!

5)%%'("!

.)%%'("!

5)%%'("!

. )1+* W*

0,00

0,00

0,00

0,00

. )* W 6

0,00

0,00

0,00

0,00

. )6 W 10

15,20

0,12

3*,0

0,21

0,00

0,00

. )10 W 12

18,20

0,1*

**,50

0,2

0,00

0,00

. )12 W 1*

12,0

0,10

26,0

0,1

0,00

0,00

1+*

28


Molienda y Tamizado

. )1* W 16

2,50

0,23

20,80

0,13

0,00

0,00

. )16 W 20

1,50

0,1*

,20

0,0*

80,02

0,01

. )20 W 30

1*,51

0,11

*,01

0,02

*3*,0

0,0

. )30 W *0

5,80

0,05

2,60

0,02

18*3,

0,28

. )*0 W 50

5,30

0,0*

1,20

0,01

1*5,1

0,23

. )50 W 0

,10

0,06

11,*0

0,0

88,55

0,1*

. )0 W 100

1,00

0,01

,0

0,06

2*3,58

0,0*

. )100 W 1*0

0,00

0,00

0,00

0,00

28,25

0,0*

.)1*0 W 200

0,00

0,00

0,00

0,00

62,

0,10

. )200 W 20

0,00

0,00

0,00

0,00

55,85

0,0

. )20

0,00

0,00

0,00

0,00

,66

0,00

!-/

99

988

9;89

988

6500,00

988

F 

0,8801

P 

1,0000

R 

0,81

E;.<.$#<./ 

0,*6*

T-6/- N7 9<: E2(&(%'&(- "%/ &/-#(2(&-"!) "% $-//- 8

A/($%'-&(+' N T-$(

. )%%'("!

5)%%'("!

. )10 W 12

0,00

. )12 W 1* . )1* W 16

C%)'("! .)%%'("!

R%&4-!

5)%%'("!

.)%%'("!

5)%%'("!

0,00

0,00

0,00

0,00

0,00

0,00

0,00

0,00

0,00

0,00

0,00

1+* . )1+* W* . )* W 6 . )6 W 10

0,00

0,00

29


Molienda y Tamizado

. )16 W 20

0,00

0,00

0,00

0,00

2,30

0,02

. )20 W 30

80,02

0,01

0,00

0,00

12,50

0,0

. )30 W *0

*3*,0

0,0

0,00

0,00

53,00

0,3

. )*0 W 50

18*3,

0,28

0,00

0,00

*2,*0

0,30

. )50 W 0

1*5,1

0,23

0,00

0,00

25,51

0,18

. )0 W 100

88,55

0,1*

2,00

0,03

5,0

0,0*

. )100 W 1*0

2*3,58

0,0*

12,1

0,16

1,00

0,01

.)1*0 W 200

28,25

0,0*

33,50

0,*3

0,0

0,01

. )200 W 20

62,

0,10

2,0

0,38

0,20

0,00

. )20

55,85

0,0

0,*0

0,01

0,00

0,00

!-/

<;<

988

H;9

988

9<;H9

988

F 

0,88

P 

1,0000

R 

0,8*0

E;.<.$#<./ 

0,2*

T-6/- N7 9: R%#*/-"!# "% /- $!/(%'"-

F9"= $ A9.($#/<.># @-+

363'6

P$#<./ %.#
2000

P$#<./ <#
*200

P$#<./ #$/ 

2200

R$#.(.$# ($<#.< 

52'38

T4/7/= 4$/9./ %74$ 9/ &/4<"9/ ., ?)+#

6'05

!.($4 F80 <(

0'11

!.($4 P80 <(

0'1258

C#%/#$ $ R..#-$4 ? 4  ?)+#

8.187 *10 −4

C#%/#$ $ ?.<@ ? @ @)+#

6'35

_#.<$ $ T4/7/= ?)+#

10*'62

30


Molienda y Tamizado

DISCUSIÓN DE RESULTADOS !$ /<"$4 / 9% /% $# 9/ /79/ N` 15 %$ 7%$4/ J"$ 9/ &$#<./ <#%"(./ &4 $9 (9.# %.# #' E# 9/ (.%(/ /79/ Na15 %$ $#<"$#4/ 9/ &$#<./ #$/ $ 2200 , $%/ &$#<./ 4$&4$%$#/ 9/ # 4$&4$%$#/ $9 52, (.$#4/% J"$ $9 *8 4$%/#$ $% 9/ $#$4-/ J"$ %$ #$<$%./ &/4/ &#$4 $# (/4</ $9 (9.# $# ;4(/ $%/79$' L/ %"&$4;.<.$ $%&$<;.
31


Molienda y Tamizado

L/ $;.<.$#<./ $9 <9/%.;.# ;"$ $ 10 (.#"%' S$ &"$$ /"($#/4 9/ $;.<.$#<./ $9 <9/%.;.# $ 9/% (.%(/%'

CONCLUSIONES

1' L/ (/B4 &/4$ $ 9/ $#$4-/ J"$ 4$J".$4$ $9 (9.# &/4/ %" &$4/<.># $% ".9.// $# ($4 %$' E# #"$%4/ &4<. $9 *8 $9 /9 /9.($#/' 2' L/ $#$4-/ <#%"(./ &/4/ $9 (9.# $<9"%./($#$ &/4/ (9$4 $9 (/ $% (/B4 J"$ 9/ &$#<./ J"$ %$ <#%"($ $# %" ;"#<.#/(.$# $# /<' 3' L/ %"&$4;.<.$ $%&$<;.#, (.$#4/% J"$ 9/ <#%/#$ $ # 9 $% .#$4%/($#$ &4&4<.#/9'

32


Molienda y Tamizado

RECOMENDACIONES

1' S$ 4$<(.$#/ <9/%.;.# <#%/#$ /9 (9.# &/4/ 7$#$4 "# &4<$% <#.#"' 3' S$ $7$ $ <9#, B/ J"$ 9/%
33


Molienda y Tamizado

6' C9
BIBLIOGRAFÍA

1') F"% A9/#, $#$9 A L$#/4, C9"(&  C"4.%, M/"% L".%' P4.#<.&.% $ O&$4/<.#$% U#./4./%'5/ E.<.>#' M.<' 16' C(&/K/ E.4./9 <#.#$#/9 S<.$/ A#>#.(/ C' E' C' S' A', &-.#/% 01)02,11 2') M<' C/7$ /44$#, S(. "9.#, H/44. M$$4, O&$4/<.#$% !$ I#-$#.$4/ Q"(.# E%&/K/ 11, P-%' 81) 83' 3') 4# G$4-$ G4/#-$4' O&$4/<.#$% %.
34


Molienda y Tamizado

APÉNDICE I.EEMPLO DE CÁLCULOS 9. CÁLCULO DE LA POROSIDAD DEL MAÍZ A. A/($%'-&(+' -/ M!/('! !$#%./ A&/4$#$ B A7%9"/ $9 (/  (/ /&'  2*'3 -

 (/ /7  26' -

V /&/4$#$  30 (9

V /7%9"  20 (9

ρ aparente

ρ absoluto

=

=

W maiz ap

=

V aparente W maiz

V absoluto

=

24.3 g 30ml

26.7 g 20ml

= 0.81 g ml

= 1.335 g ml

P4%./ $9 (/: ε 0

=1−

ρ aparente ρ absoluto

= 1−

0.81 1.335

= 0.393

35


Molienda y Tamizado

E#2%)(&("-" : #% "%%)$('! "% /g)-2(&-. : %/ &*-/ 2*% "%  8.H

C9<"9 $9 ;/<4 $ ;4(/: λ alinento

=

1

ψ

= 1.258

B. P)!"*&! "%/ M!/('! !$#%./ $9 (/'  (/ /&'  26'2 -

 (/ /7  1*' -

V /&/4$#$  *1 (9

V /7%9"  10 (9

ρ aparente

=

ρ absoluto

=

W maiz ap V aparente W maiz V absoluto

=

26.2 g

=

14.7 g

41ml

10ml

= 0.64 g ml = 1.47 g ml

36


Molienda y Tamizado

P4%./ $9 (/: ε 0

= 1−

ρ aparente

= 1−

ρ absoluto

0.64 1.47

= 0.565

!$ 9/ -4;.
ε 0'565

ψ 

0'55

C9<"9 $9 ;/<4 $ ;4(/ $9 &4"<:

λ produto

2.

=

1

ψ

= 1.818

DETERMINACIÓN DEL ÁREA ESPECÍFICA 9. A/($%'-&(+' -/ M!/('!

C9<"9 $9 4$/ $%&$<;.
 6λ a  n F  A! =   × ∑ ..............(1) ρ  absoluta  i =1 Dp !$9 /#9.%.% &4 /(./ $#$(% J"$:

n

F

∑= Dp = 9.46 / $ 9/ /79/ 5 i 1

 6 x1.258  × 9.46 = 53.48 m 2  g  1.335 

A! = 

C9<"9 $9 !.($4 M$. V9"($# ) S"&$4;.<.$ ! D"sa

D "sa

=

6 x1.258 53.48 x1.335

=

6λ

A! ρ absoluta

%/

................................(2)

= 0.106m

. P)!"*&! "%/ M!/('! 37


Molienda y Tamizado

C9<"9 $9 4$/ $%&$<;.
 6λ a  n F  ..............(1) =   × ∑ ρ Dp  absoluta  i =1

!$9 /#9.%.% &4 /(./ $#$(% J"$:

n

F = 11.3 ∑ Dp / $ 9/ /79/ 5 i =1

2 6 x1.818  m  A! =   × 11.3 = 83.850 g  1.47 

C9<"9 $9 !.($4 M$. V9"($# ) S"&$4;.<.$ ! D"sa

=

6λ

A! ρ absoluta

%/

................................(2)

C9<"9 $9 !.($4 M$. V9"($#) S"&$4;.<.$ ! %&

D"sp

3.

=

6 x1.818 11.3 x83.850

= 0.012m

ÁREA ESPECÍFICA CREADA POR EL MOLINO: cA  A&) A/  30'3 <( 2+-

4.

CÁLCULO DEL FLUO DE ALIMENTACIÓN =F>: F =

!#$:

W t

: P$% $ 9/ ("$%4/ ?-' 12 : .$(& $ 9/ (9.$#/  0'033

F =

5.

12 kg 0.033#

= 363.6Kg/h = 0.3636ton/ h

CÁLCULO DE LA POTENCIA NETA REQUERIDA =P NETA>: 38


Molienda y Tamizado

P #$/  P
P!%'&(- #(' &-)g- =PSC>: P &%

P &%

= V × $ ×

3 × cosθ

= 240 × 5.2 ×

3 × 0.92

= 2.0 KW

= V × $ ×

3 × cos θ

P!%'&(- &!' &-)g- =PCC>: P %%

P &%

= 220 × 12.0 ×

3 × 0.92

= 4.2 KW

POTENCIA NETA REQUERIDA: P #$/  *'2@d 2'0@2'2@

P$#<./ 4$J"$4./ &/4/ 4."4/4 12 ?-' $ (/ $#$4

6.

CÁLCULO DEL RENDIMIENTO MECÁNICO =RM>:

R M

.

=

2.2 4.2

x100 = 52.38%

CONSUMO ESPECÍFICO DE ENERGIA =>:

39

Laboratorio de Ingeniería Química II FQIQ-UNMSM W =

2.2 0.3636

Molienda y Tamizado

= 6.051k! − # / ton

. CÁLCULO DE LA CONSTANTE DE RITTINGER =)>: W

Kr =

1

D"sp

−

1

D"sa

R$$(&9//#: 6.05

Kr =

1 0.00012

−

= 8.187 * 10− 4 k! − # / ton

1 0.00106

. CÁLCULO DE LA CONSTANTE DE IC = > K k

R$$(&9//#: K k

=

=

W D"sa log( ) D"sp

6.05 0.106 log( ) 0.012

= 6.395k! − # / ton

98. CÁLCULO DE LA CONSTANTE DE BOND =ÍNDICE DE TRABAO =(>    .  

10

P 80

−

10

F 80

   

!#$: F  80 /<"("9/ &/%/#$ $ 9/ .%4.7"<.># -4/#"9(4.# -4/#"9(4.

Molienda y Tamizado

F80  11 e( !$ 9/ -4;.
=

6.05

  

 −  1258 1991.  10

10

= 104.62 K! − # / ton

Reemplaan!o tenemos" Kb

= 0.3162 x49.82 = 15.75k! − # / ton

C-/&*/! "% /- %2(&(%'&(- "% $-//- %' %/ &/-#(2(&-"!) =$-//- 98  $-//- 8> E2(&(%'&(- "% $-//- 98: E;.<.$#<./ $# ;"#<.># $9 &4<$#/=$ 4$$#.: η

=

 X' − Xr   (1 − Xp) × ( X' − Xr )   × 1 − ×   X'  Xp − Xr    (1 − X' ) × ( Xp − Xr )  Xp

!#$: η

 E;.<.$#<./ $ 9/ (/99/ N`

&  F4/<<.># $# &$% $9 <$4#. ;  F4/<<.># $# &$% $9 /9.($#/<.># 4  F4/<<.># $# &$% $9 4$</ P/4/ 9/% &/4<"9/% J"$ &/%/# 9/ (/99/ Na 10 E##<$%: !$ 9/% /79/ Na 13 O7$#$(%: &  0'8801 ;  1'0000 4  0'81 R$$(&9//#, %$ 7.$#$D η (/99/ 10

0'*6* 41


Molienda y Tamizado

E2(&(%'&(- "% $-//- 8: !$ 9/ /79/ Na 1* F  0'88 R  1'0000 P  0'8*0 R$$(&9//# /% %$ 7.$#$: η(/99/ 20

0'2*

42


Molienda y Tamizado

GRAFICOS G)-2(&! N7 9: ? )%%'("! K# /!g=D,> ,-)- %/ ,)!"*&! "%/ $!/('!

G)-2(&! N7 : ? -&*$*/-"! K# /!g=D,> ,-)- %/ ,)!"*&! "%/ $!/('!

43


Molienda y Tamizado

G)-2(&! N7 ;: ? )%%'("! K# /!g=D,> ,-)- %/ ,)!"*&! "%/ $!/('!

G)-2(&! N7 <: ? -&*$*/-"! K# /!g=D,> ,-)- %/ ,)!"*&! "%/ $!/('!

44


Molienda y Tamizado

G)-2(&! N7 : ? )%%'("! K# /!g=D,> ,-)- /!# g)*%#!#

G)-2(&! N7 : ? -&*$*/-"! K# /!g=D,> ,-)- /!# g)*%#!#

45


Molienda y Tamizado

G)-2(&! N7 H: ? )%%'("! K# /!g=D,> ,-)- /!# $%"(!#

G)-2(&! N7 : ? -&*$*/-"! K# /!g=D,> ,-)- /!# $%"(!#

46

146090743 Molienda y Tamizado Grupod Prof Meneses

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