UNIVERSIDAD NACIONAL DE INGENIERÍA FACULTAD DE INGENIERÍA CIVIL
LABORATORIO N°2
CINE CI NEMA MAT TIC ICA: A: VIS VISUA UALI LIZA ZACI CI N DE FLU FLUJO JOS S
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[1]
CINEMATICA VISUALIZACIÓN DE FLUJOS MECANICA DE FLUIDOS I HH223-G INTEGRANTES o o o
UIS!E TINTA TINTA" "A# M$%&'( E)$*+, SILVA SILV A MACHUCA MACHUCA## C/$*0$& C/$*0$&, , E)/ TA!IA VA VASUEZ# SUEZ# J$4 J+5&,
INSTRUCTOR o
I,78 R+7/ H$)&(7+
FECHA DE LA E9!ERIENCIA o
L,* 1; ) &4+ )( 21;
21.2 2F 21.22F 21..G 21. .G 2131.6E 2131 .6E
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[2]
RESUMEN_________________________________________________________________3 INTRODUCCIÓN____________________________________________________________3 OBJETIVOS________________________________________________________________3 TITULO 1 Teoría____________________ Teoría____________________________________ _________________________________ _________________________4 ________4 TITULO 2 Descripci! " Ma#eria$es_________________ Ma#eria$es___________________________________ ____________________________% __________% TITULO 3 &roce'i(ie!#o 'e $as E)perie!cias___________________________________11 TITULO 4 C*es#io!ario_____________________________ C*es#io!ario______________________________________________________12 _________________________12 TITULO + CONCLUSIONES__________________________________________________21 Bi,$io-ra.ía______________________ Bi,$io-ra.ía______________________________________ ______________________________ __________________________22 ____________22
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[3]
RESUMEN E( *,0 (&=+/&0+/$+ &,&($>&/+* ) &,/& ?$*&( (+* 0$<+* ) @(%+* =*$+* @(%+ (&$,&/# @(%+ @,0 *$)/+# @(%+ 0/=(,0+# @(%+ *0&$+,&/$+# 08 , (+* )$@/,0* $<+* ) (&=+/&0+/$+8 L& $/& </$,$& * /&($> , (& *& ) @(%+ (&$,&/# , ( &( * /*,0 ) &,/& </$,0&( (&* +,)$$+,* 0/$&* * /$/ <&/& @+/&/ , @(%+ (&$,&/# +, &4)& ) (& @(+/*',& * <)+ +=*/?&/ ( +<+/0&$,0+ ) (&* +//$,0* ) *0 @(%+# &*' ++ ( +<+/0&$,0+ ) (& *</<+*$$, ) @(%+*8 L& *7,)& </$,$& * /&($> , (& *& ) S0+*# , ( &( * /*,0 , @(%+ (&$,&/ * <) +=*/?&/ +=*/?&/ +, &4)& )( </&,7&,&0+ </&,7&,&0+ ) <+0&*$+8 <+0&*$+8 S +=*/? +=*/? ( +<+/0&$,0 +<+/0&$,0+ + )( @(%+ ) +//$,0 +, (+* )$@/,0* </@$(*8 L& 0//& </$,$& * /&($> , (& ?& ) R4,+()*# ( &( ,+* </$0 +=*/?&/ (+* @(%+* 0/=(,0+*# @(%+* ) 0/&,*$$, 4 @(%+ (&$,&/# ( &$,&/# +, &4)& ) (& @(+/*', )<,)$,)+ )( &)&( *$,$*0/&)+8
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[.]
INTRODUCCIÓN E( *0)$+ ) (+* @(%+* * ) <&/0$(&/ $<+/0&,$& <&/& (+* $,7,$/+*# )=$)+ & , &)&)+ &,($*$* ) ((+# </$0 ( )$*+ ) *0/0/&* * &), &( <&*+ )( @(%+ 4 (& )<+*$$, ) *)$,0+*8 !&/& <+)/ /&($>&/ , &,($*$* ) *0+* @(%+* * 0$, +,*$)/&/ @(%+* +, ,K/+* ) R4,+()* &(0+* &4+/* & 1# (+* &(* * &)&, * & (+* +=(&* ) $,7,$/'&8 L&* </$,$&* * /&($>&, </$0$/, (& )*/$<$, ) (+* @(%+* , )$*0$,0&* +,)$$+,*8
OBJETIVOS EXPERIENCIA I MESA DE FLUJO LAMINAR •
•
O=*/?&/ 4 )*/$=$/ ( +<+/0&$,0+ </$,0&( ) , @(%+ </&,,0 & 0/&?* ) (& 0/&40+/$& *$7 ( +(+/&,0 F(+/*',& O=*/?&/ 4 )*/$=$/ (& *</<+*$$, ) , @(%+ </&,,0 +, , @(%+ @,0 + , @(%+ *$)/+# +=*/?&,)+ (& 0/&40+/$& )( +(+/&,08
EXPERIENCIA II MESA DE ANALOGÍAS DE STOKES •
O=*/?&/ 4 )*/$=$/ (+* @(%+* * *,0&, <&/& &)& 0$<+ ) </@$(8
EXPERIENCIA III CUBA DE REYNOLDS •
C(&*$@$&/ ( @(%+ *7K, ( ,K/+ ) R4,+()* 4 /(&$+,&/(&* +, (& +=*/?&$, ) (& </$,$&8
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[]
TITULO 1 T+/'& T+/'& DESCRIPCIÓN DEL MOVIMIENTO DE LOS FLUIDOS E, , @(%+ )&)+# (& )0/$,&$ )0/$,&$, , </$,0&( </$,0&( + 0/$& 0/$& ) (&* +<$)&)* +<$)&)* )( @($)+ @($)+ ++ @,$, @,$, ) <+*$$, 4 )( 0$<+ * +,*$)/& *+($, )( +=(&8 E, &*$ 0+)+* (+* &*+* ( ,@&*$* * 5& *+=/ (& )$*0/$=$, *<&$+-0<+/&( ) (&* +<$)&)* @($)&*8 E$*0, )+* <,0+* ) ?$*0& <+*$=(* <&/& &,&($>&/ (+* +=(&* , ,$& -
Método de!"#$t#%o e&'e"#()o A+<$&)+ <&/& (& ,$& ) @($)+*# , *0 0+)+ &((&+* ( &<+ ) *$+,* <#4#>#0 <#4#>#0 )( @(%+# 4 ,+ (+* &=$+* ) *$, <0 </$,0& ,& <&/0'(& &( +?/*8 E, *0 0+)+ * $),0$@$& , <,0+ , ( *<&$+ 4 <+)+* +=*/?&/ (& /&>, ) &=$+ ) (& ?(+$)&) ∂ V / ∂ x # ∂ V / ∂ y 4 ∂ V / ∂ z & )$)& (&* <&/0'(&* <&*&, <+/ ( <,0+# 4 <+)+* )0/$,&/ *$ (& ?(+$)&) *0 &=$&,)+ +, ( 0$<+ * * <,0+ , <&/0$(&/# *0+ * ∂ V / ∂ t # , *0& +,)$$, ) &,($*$*# , (&* +<$)&)* )( @(%+ &*' ++ (&* ?(+$)&) *+, @,$+,* 0&,0+ )( *<&$+ ++ )( 0$<+# *0& /7$, +,*$)/&)& * ((&& &<+ ) @(%+8
-
Método de!"#$t#%o '(*"()*#()o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∂ V ∂p ∂ ρ =0 = 0 =0 ∂ t ∂x ∂x
LINEAS DE TRAYECTORIA U,& 0/&40+/$& + *,)& * ( &$,+ *7$)+ <+/ ,& <&/0'(& ) @($)+ , +?$$,0+8 !&/& 5&/ ?$*$=( ,& 0/&40+/$ * <+)/'& $),0$@$&/ ,& <&/0'(& ) @($)+ , , $,*0&,0 )&)+# <+/ %<(+# *&,)+ 0$,0 4 0+&/ ,0+,* ,0+,* ,& @+0+7/&@'& @+0+7/&@'& ) (&/7& <+*$$, <+*$$, ) , +?$$,0+ *=*$7$,0 *=*$7$,088 L& (',& 0/&>&)& &*' <+/ (& <&/0'(& * ,& 0/&40+/$&8
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[;]
LINEAS DE TRAZA S ),+$,& (',& ) 0/&>& &( (7&/ 7+0/$+ ) (&* <&/0'(&* , $,*0&,0* **$?+* <&*&/+, <+/ , <,0+ )&)+8 S &/0/ * 0&=$, @,)&,0&(,0 </$,0&( 4 , (& 0$& * +=0,)/'& <+/ %<(+ $,40&,)+ ) @+/& +,0$,& , , <,0+ @$%+ )( @(%+ ,& */$ ) <&/0'(&* &/&)&* 4 0+&,)+ ,& @+0+7/&@'&8 !&/& +=0,/ &,&('0$&,0 (& &$, ) (& 0/&>& )=+* ?$&,0 +=0,/ (& @&$($& ) +,*0&,0* ) $,07/&$, +//*<+,)$,0* & (&* *,)&* ) (&* <&/0'(&* , $,*0&,0* 00 &,0/$+/* &( $,*0&,0 7,/$+ 0 +,*$)/&)+
Re$"ee)t(!#-) e$(!#(' ./0 ,1 de &) !(2$o de %e'o!#d(de , de ('*&)( '+)e( de 3'&4o 4&)to !o) %("#(
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[6]
L+)e( de !o""#e)te
E, , @(%+ </&,,0# (& ?(+$)&) , &)& <,0+ , ( &<+ ) @(%+ </&,/ +,*0&,0 +, ( 0$<+ 4# +,*,0,0# (&* (',&* ) +//$,0 ,+ ?&/'&, ) , $,*0&,0 & +0/+8 E*0+ $<($& ,& <&/0'(& (+&($>&)& *+=/ ,& (',& ) +//$,0 )&)& </&,/ *+=/ (& $*& (',& ) +//$,08 A)*# <&/0'(&* +,*0$?&* <&*&,)+ <+/ , <,0+ @$%+ , ( *<&$+ *0&/, *+=/ (& $*& (',& ) +//$,0 4 </&,/, *+=/ *0& (',& *=*,0,08 A*'# A*'# , , @(%+ </&,,0# (&* 0/&40+/$&*# (&* (',&* ) $*$, 4 (&* (',&* ) +//$,0 *+, (',&* $),0$&* , ( &<+ /@(%+8 L& @+/& ) (&* (',&* ) +//$,0 <) ?&/$&/ ) , $,*0&,0 & +0/+ *$ ( @(%+ * ,+ </&,,08 E, *0 &*+# (&* 0/&40+/$&*# (&* (',&* ) $*$, 4 (&* (',&* ) +//$,0 ,+ +$,$),8
TUBO DE CORRIENTE U, 0=+ ) @(%+ + ) +//$,0 *0 @+/&)+ <+/ , 5&> ) (',&* ) @(%+8 C++ (&* (',&* ) @(%+ *+, 0&,7,0* &( ?0+/ ?(+$)&) , &)& <,0+# (&* (',&* ) @(%+ ,+ &0/&?$*&, (&* <&/)* )( 0=+ ) @(%+8 E*0+ * &*' <+/ (&* <&/)* *0, & * ?> @+/&)&* <+/ (',&* ) @(%+ 4 *$ (&* &0/&?*&/&, )+* (',&* ) @(%+ * +/0&/'&,# *0&,)+ (& ?(+$)&) $,)0/$,&)& , ( <,0+ ) +/08 !+/ 0&,0+# & <*&/ ) *0&/ ($$0&)+ <+/ (& *</@$$ @$0$$& ,?(? ( 5&> ) (',&* ) @(%+# *0 * +<+/0& & 0+)+* (+* @0+* ++ ,& *</@$$ $</&=(
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F'&4o &)+0 7#0 t"#d#2e)#o)(' t"#d#2e)#o)(' E( @(%+ * (&*$@$& ++ ,$# =$ 4 0/$)$,*$+,&( )<,)$,)+ )( ,K/+ ) ++/),&)&* *<&$&(* //$)&* <&/& )*/$=$/ ( &<+ ) ?(+$)&)8 E( &<+ ) ?(+$)&) <) */ ,& @,$, ) 0/* ++/),&)&* *<&$&(* 4 )( 0$<+8 D$5+ &<+ ) @(%+ * ),+$,& 0/$)$,*$+,&( 0&=$, * ,+ </&,,0 + 0/&,*$0+/$+ 4& (& ?(+$)&) , &($/ <,0+ )( &<+ ) @(%+ )<,) ) (&* 0/* ++/),&)&* *<&$&(* //$)&* <&/& (+&($>&/ ( <,0+ , ( *<&$+8 N+ 0+)+* (+* &<+* ) @(%+ *+, 0/$)$,*$+,&(*8 !+/ %<(+# ( @(%+ </&,,0 & 0/&?* ) ,& 0=/'& /0& ) *$, 0/&,*?/*&( ,$@+/8 F'&4o %#!oo , )o %#!oo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o '(2#)("e , t&"7&'e)to E( @(%+ @(%+ 0/=( 0/=(,0 ,0+# +# * &/&0 &/&0/$ /$>& >& <+/ <+/ (&* <&/0' <&/0'(& (&** )( @($)+ @($)+ * ?, ?, , 0/&4 0/&40+/ 0+/$&* $&* //0$&*# * )$/# , 0/&40+/$&* 4 $//7(&/* *$, *7$/ , +/), *0&=($)+ E( @(% @(%+ + (&$ (&$,& ,&// &/&0/$>& <+/ ( +?$$,0+ ) (&* <&/0'(&* )( @($)+ * +) *$7$ *$7$,)+ ,)+ 0/&4 0/&40+/ 0+/$&* $&* =&*0&, =&*0&,0 0 /7(& /7(&/* /*## *<&/& *<&/&)&* )&* 4 </@ </@0& 0&,0 ,0 )@$,$ )@$,$)&* )&* )&,)+ )&,)+ (& $*$, ) * 0/&0&/& ) ($,&* + &<&* * + ,+* <&/&((&* ,0/ *'8 F'&4o !o2$"e)#7'e e #)!o2$"e)#7'e #)!o2$"e)#7'e E( @(%+ $,+,*$=( $,+,*$=( * &( , (+* &(* (+* &=$+* &=$+* ) ),*$)&) ),*$)&) ) , <,0+ & +0/+ ,+ *+, )*$&=(*8 E( @(%+ +,*$=( * &( , (+* &(* (+* &=$+* ) ),*$)&) ) , <,0+ & +0/+ *+, )*$&=(*# $,0/&* * &$,&, <,0+* ),0/+ )( &<+ ) @(%+8 F'&4o et(!#o)("#o , )o et(!#o)("#o F(%+ *0&$+,&/$+ * &/&0/$>& <+/ (&* +,)$$+,* ) ?(+$)&) ) *//$$,0+ , &($/ <,0+ ,+ &=$&, +, ( 0$<+# + *& </&,, +,*0&,0* +, ( 0$<+ +
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[] E*0 E*0 * , $,*0 $,*0/ / ,0 ,0+ + </ </$0$0 *$ *$(& (&// @, @,, ,+* +* 4 )$@ )$@/ /,0 ,0* * +,) +,)$ $$+, $+,* * , +)( +)(+* +* =$)$,*$+,&(* , <& *&( +@/ ,& /*,0&$, K0$( , )$)0$& 4 </$,0&$,# 0&,0+ <&/& &/+)$,$& ) &/+,&?* 4 ?5'(+* &0++<(*&)+*# ++ 0&=$, ) +,*0/$+,* $?$(*8 E( @(%+ ) &7& +)$)+# * $//+0&$+,&(# ,+ ?$*+*+# =$)$,*$+,&( $,+*$=(8 L& *$, ) =& *0 @+/&)& <+/ )+* *</@$$* ($*&* 4 <(&,&* <(&&* ) ?$)/$+ /&,&* ,& ) (& +0/& . +, , +)(+ ) *<& =$&)+ ,0/ *0&* 4 , *((+ ) &5+ ?$0& @7&* )( &<&/&0+8 L& <(&& *</$+/ * /+?$=(8 E( &7& @(4 & (+ (&/7+ ) (& *$, )=$)+ &( )*,$?( ) 5&4 ,0/ ( ?/0)/+ 4 (& >+,& ) &/7& ) &7& +, ,& ?(+$)&) (+ *@$$,0,0 =&% <&/& (&* @/>&* ) $,/$& *&, )*$&=(*8 L& <(&& $,@/$+/ <+* &,&(* *0, +,0&)+* &( *$,$*0/+ @,0 4 *&($)& *$)/+ )( &7&8 L&* (',&* ) +//$,0 *+, +)$)&* <+/ , @(%+ /7(&)+ ) 0$,0& * *$,$*0/& & 0/&?* ) &7%&* 5$<+)/$&* , (& >+,& ) &/7&8 L& 0$,0& *0 +,0,$)& , , /$<$,0 0/&,*<&/,0 <&/& ( +,0/+( ) * +,0,$)+8
Me( de 3'&4o '(2#)("
V9'%&'( de' 3'&4o 3&e)te
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[1] S *&/& ++ *$,$*0/+ ) &7& ,& @,0 )+*0$&8
DESCRIPCIÓN •
•
•
•
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
MATERIALES •
•
•
•
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[11]
Pe"3#'e
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[12]
L& =& 0$, (&* *$7$,0* )$,*$+,*:
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[13]
TITULO 3 !/+)$$,0+ ) (&* E</$,$&* EXPERIENCIA I MESA DE FLUJO LAMINAR 18 S *$,$*0/ *$,$*0/& & &7 &=/$,)+ &=/$,)+ (& ?(?(& ?(?(# ( &( @(4 @(4 , )$+ ) ) (&* <(&&* <(&&* ) ?$)/$+ ?$)/$+ )=$)+ &( )*,$?( 5&4 ,0/ ( &($,0&)+/ ) &/7& 4 ( ?/0)/+8 28 S &=/, (& (& ?(?(& ?(?(& ) (& @(+/*', @(+/*', ( &( *$7 *$7 ,& 0/&40 0/&40+/$& +/$& /0& /0& 0/$& 0/$&88 38 S &=/ (& </$((& </$((& N° 1 <&/& <&/& &0 &0 ++ @,0# @,0# 4 * * +=*/?& +=*/?& (& *</<+*$ *</<+*$$, $, ) , @(%+ @(%+ </&,,0 4 , @(%+ @,08 .8 S &=/ (& </$((& </$((& N° 1 <&/& <&/& &0 &0 ++ *$)/ *$)/+# +# 4 * +=*/?& +=*/?& (& *</<+*$ *</<+*$$, $, ) , @(%+ @(%+ </&,,0 4 , @(%+ *$)/+8 8 S &=/ (& </$((& </$((& N° 1 4 N° ; ++ ++ @,0 @,0 4 *$)/+ *$)/+ /*<0$? /*<0$?&,0 &,0 <&/& +=*/?&/ +=*/?&/ (& @+/&$, )( +?&(+ ) R&,$,8
EXPERIENCIA II MESA DE ANALOGÍ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[1.]
E( <&*+ &,0/$+/ * /<$0$ <&/& ( @(%+ 0/&,*$$+,&(# 4 <&/& ( ( 0/=(,0+ * 0+ )$)&*8
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[1]
TITULO . C*0$+,&/$+ CUESTIONARIO N<= MESA LAMINAR =6 De3#)( De3#)( 'o !o)!e$to !o)!e$to te-"#!o te-"#!o , e' $"o!ed#2#e) $"o!ed#2#e)to to ( e*" $("( o7te)e" o7te)e" 'o 'o #*e)te #*e)te 3'&4o0 3'&4o0 (de29 de *"(3#!("'o (1 F'&4 F'&4o o &)#3 &)#3o" o"2e 2e E*0 0$<+ ) @(%+ * &/&0/$>& <+/ &($/ &7,$0) * &,&($# </&, $,?&/$&,0 , 0+)&* (&* *$+,* )( &,&(8
O7te)!#-)> C++ ( @(%+ * ,$@+/ ,0+,* V 0# *&0$*@& (&* +,)$$+,* ) $//+0&$+,&($)&) 4 ++ ( @(%+ * ,$)$/$+,&( , ( % +=0,+*: ∂Φ ∂Φ =V , = 0 ∂x ∂y
D+,): ψ = funcion funcionde decorr corrien iente te Φ =funcion potencial
∂ ψ ∂ψ ∂ ψ =V , = 0 ∂y ∂x
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[1;]
F'&4o &)#3o"2e #)!'#)(do
71 F'&4o F'&4o F&e)te F&e)te ? S&2# S&2#de" de"o o E* , @(%+ * <&,) + * +,0/& ) , <,0+ & 0+)&* (&* )$/$+,* ) @+/& /&)$&( <+/ ,) (
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[16]
L+)e( de !o""#e)te L#)e( e@$ote)!#('e
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[1] 2 ay
−1
θ− m ( θ1 −θ2 )=¿ u0 y − m tan
2
x + y
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u0 r sin ¿
CUESTIONARIO N > MESA MES A DE ANALOGÍAS ANALOGÍAS DE STOKES 28 C+, /*<0+ & (& M*& ) A,&(+7'&* ) S0+*# )*/$=& *$ * <+*$=( /&($>&/ (+* *$ 7$,0* </$,0+* 4 )0&(( ( +*+ * )=/'& *7$/ <&/& (+7/&/(+:
(1 V#&('#5 V#&('#5(!#-) (!#-) , !&()t#3# !&()t#3#!(!#!(!#-) ) de F'&4o F'&4o Pe"2() Pe"2()e)te6 e)te6 L& +=*/?&$, ) (& </$,$& *$, *&/ (+* </@$(* 4 *$, ?&/$&/ ( &)&( )( *$,$*0/+ *0/& , @(%+ </&,,0# 4& (&* +,)$$+,* ) ?(+$)&) ,+ ?&/'&, +, ( 0$<+ 4# *$ (+ 5&,# (&* ?&/$&$+,* *+, 0&, <&* +, /*<0+ & (+* ?&(+/* )$+*8 71 V#&('#5 V#&('#5(!#-) (!#-) , !o2$o"t(2# !o2$o"t(2#e)to e)to de '( '+)e( '+)e( de !o""#e)te !o""#e)te ('"ededo" ('"ededo" de $e"3#'e $e"3#'e o !&e"$o
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[1]
CUESTIONARIO N< > MESA MES A LAMINAR LAMINAR Y MESA DE ANALOGIAS DE STOKES =6 E $o#7'e $o#7'e ($"e!#(" ($"e!#(" e' !o)o!#2#e !o)o!#2#e)to )to de '( '+)e( '+)e( de 3'&4o &)#3o"2 &)#3o"2e e ('"ededo" ('"ededo" de &) !&e"$o !&e"$o ;#d"od#)92#!o $o" 2ed#o de '( 2e( '(2#)(" R$t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[2]
L+)e( de !o""#e)te #2$e"2e(7'e
6 E $o#7'e $o#7'e o7e"%(" o7e"%(" 'o 3'&4o 3'&4o 79#!o 79#!o e) '(7o"(to"# '(7o"(to"#o o E'(7o"e E'(7o"e &) !&(d"o !&(d"o !o) 'o 3'&4o 3'&4o
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[21] , 7,/&(8 E*0& /7$, )( @(%+ /$= ( ,+=/ ) .$*/o 'e #ra!sici! , 4 , ((& ( @(%+ &=$& ) (&$,&/ & 0/=(,0+8
6 N2e"o de Re,)o'd !"+t#!o0 Re,)o'd !"#t#!o &$e"#o" , Re,)o'd !"#t#!o #)3e"#o" !&/& &<($&$+,* 0$&* )( @(%+ , 0=/'&* $/(&/*# * ,,0/& *$ ( ,K/+ )
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[22]
0$*/o La(i!ar S +=*/? * @+/&=& ,& (',& ) +(+/&,0 +(+/&,0 )(7&)& 4 =$, )@$,$)&8 " * +=0?+ ,K/+ ) R4,+()* ,+/* 238
T#e2$o
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[23]
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[2.]
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[2]
TITULO CONCLUSIONES =6 MESA MESA DE FLU FLUJO JO LAMI LAMINA NAR> R> -
L&* L&* &+ &+$ $& &$ $+, +,* * ) , @(% @(%+ + =$)$ =$)$ ,* ,*$+ $+,& ,&(( * 5& 5& , (& *& *& ) @(%+ @(%+ ,$@ ,$@+/ +/ ##
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Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
The world’s largest digital library
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.