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NTENID
I. INTRODUCCIN...........................................................................................2
II. RESUMEN.....................................................................................................3
1. OBJETIVOS..................................................................................................4
1.1 OBJETIVO GENERAL................................................................................4
1.2 OBJETIVO ESPECFICO............................................................................4
2. MARCO TERICO........................................................................................5
2.1 DEFINICIONES...........................................................................................5
2.1.1 SIFN...................................................................................................5
2.1.2 GASTO O CAUDAL (Q)......................................................................!
2.1.3 ECUACIN DE CONTINUIDAD.........................................................."
2.1.4 ECUACION DE ENERGIA ENTRE EL TANQUE DE DESCARGA# EL PUNTO M$S ALTO DEL CONDUCTO (T)...........................................%
2.1.5 ECUACION DE ENERGIA ENTRE EL TANQUE DE CARGA # DEDESCARGA................................................................................................1&
2.1.' EL EFECTO SIFN.........................................................................11
2.2 FUNDAMENTO TERICO........................................................................122.2.1 ECUACIN DE BERNOULLI...........................................................12
2.1.2 EPLICACIN USANDO LA ECUACIN DE BERNOULLI.............14
2.2.2 V*+,-/ 0-.............................................................................15
2.2.3 ALTURA M$IMA..............................................................................1'
2.2.4 SIFONES DE VACO.........................................................................1'
2.3 APLICACIN.............................................................................................1'
2.3.1 E -0/*/,-+0 -678*-,/0 --,-+0............................................1'2.3.2 E /9/6/+0 *,6++:;0-,+0..........................................................1!
2.3.3 C+:+ 0,/6
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'. REFERENCIAS BIBLIOGR$FICAS...............................................................2!
ANEOS.............................................................................................................2"
I. INTRODUCCINE* 0- 0 8 8>+ +6:/ U -=6-/ * ?8 *8@ 8 *?8-+ 08>-+ 08 96-:6/ :-/ -:98*0/+ 9+6 8/ 86/ 6-+6 @ >//+ */ +6/ @8,-+/ 0-:96 ?8 * 98+ 6// 0; 9+6 ,-:/ * 0/*-/ 0,-6 - ?8 />6 8 ,-6+ 0-=* 6 *+0 98+0 --,-/* @ -/* ?896:-/ ,+:90/6 * 6+/:-+ 0 0 * 96-,-9-+ *+0 =/0+0,+:8-,/0. L/ 9/*/>6/ *-:+ ;6:-+ 0 +6-+0 09,-/*-/+0 08,,-. E* /-*-/ * 8>+.
2
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II. RESUMEN
E 0 */>+6/+6-+ 0 >80, 96-,-9/*: 6:-/6 */ /*86/ :7-:/ *0- ?8 96:-/ * *8+ *8-+0 /0 ,+:+ * ,/8/*. E0 0- 8
*/>+6/+ ,+ +0 6,-9-0 (>/*0 2& *-6+0) /0 ,+:+ 8/ 96+>/ @ 8=/0+ 25&:* @ * ,+8,+ 8 */ :/86>8+0 9+6 06 8,+8,+ *-; 0 ,/*,8* * ,/8/* 9/6/ * 0-0:/ *+ ,8/*8 &&&&
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1. OBJETIVOS
1.1 OBJETIVO GENERAL
D6:-/6 */ /*86/ :7-:/ @ * ,/8/* :-/ * ,8/* 0 980-+/6
1.2 OBJETIVO ESPECFICO
C+:9/6/6 *+0 608*/+0 */ 967,-,/ ,+ *+0 608*/+0 ,/*,8*/+0 */ ,8/,- B6+8**-.
D6:-/6 * -:9+ 0-++.
D6:-/6 * ,/8/* /0 ?8 +,866/ * >86>8+ */ 0/*-/ * *8-+.
4
--
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2. MARCO TERICO
2.1 DEFINICIONES
2.1.1 SIFNM8,+0 /8+60 (N6/0+= T68>/ R80** R+80) ?8 0 / -,/+ /*
08-+ 0-+0 / --+ * ;6:-+ 0- 96+ */0 :8,/0 9+:+0
60,//6 */ 0-
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U/ /9*-,/,- -:9+6/ *+0 0-+0 ?8 0 / =-0+ / *+ */6-; 0-:9*: 0- 9+6 */:/@+6/ *+0 /8+60 @ ?8 0 /?8**/ ,+8, * /6 * +>07,8*+ @
08 8,-+/:-+ 0 > / */ 960- /:+0;6-,/ ?8 /,/ */ 0896-,-* //6 ,+:+ @/0 09,--, */0 /66->/ +,0 */ -6,-/ 960- */ 6//(960- /:+0;6-,/) @ * -6-+6 * ,+8,+ (960- ,6+ + 96-:/ /,6+) /, ?8 * /
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VQ
t=
(2.1)
D+
V V+*8:
t T-:9+
R/*-/+ 8 /7*-0-0 -:0-+/* 0 **- +6/ 6*/,- -:9+6/ * ,/8/* ,+ */=*+,-/ * *8-+
[ ] [ ] [ ]3
2L LQ L V A Q V AT T
= = = =
Q V A=
(2.3)E */ 967,-,/ ,8/*?8-6/ */0 +0 ,8/,-+0 0 =7*-/ 9/6/ /**/6 * ,/8/*(Q).
2.1.3 ECUACIN DE CONTINUIDADC8/+ 0 6/*-/ * >/*/, :/0/ 8 =+*8: ,+6+* 9/6/ * *8+ *8-+0 0 +>- */ ,8/,- ,+-8-/. L/ ,8/,- ,+-8-/ +0-, ?8 P/6/ 8 *8+ 96:/ */ :/0/ *8-+ ?8 /6/=-0/ ,8/*?8-60,,- 6/0=60/* 969-,8*/6 / */ 0,,- 6,/ */ 8>6/ 8 ,+8,+
9+6 8-/ -:9+ 0 ,+0/ (S+*+ A9-*/ 1%52). L/ 9*-,/,- *96-,-9-+ ,+-8-/ *+ 6/*-/:+0 / ,+-8/,-
.
!
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$iura !. !% 'ubos de diseos diferentes para el flu)o de un lquido
C+0-6/:+0 8 *8+ / 6/=;0 8 8>+ + ,+8,+ ,-6,8*/6 -+. P/6/ 8 =/*+6 */
0-/1
@ 8/ =*+,-/ +6:/*1v
* ,/8/* :/0/ 9+6 8-/ -:9+
?8 /6/=-0/ */ 0,,- 01 1 1v dA
@/ ?81 1v dA
0 * =+*8: 9+6 8-/ -:9+. A7*++ *
,/8/* :/0/ / 6/=;0 * 8>+ ,+66- 0 ,+0/.
P+6 /+
1 1 1 2 2 2v d vA dA = (2.4)
D+
1, 2
D0-/ * *?8-+ */ 6// @ 0/*-/ * 0-
1, 2:v v
V*+,-/ :-/ */ 6// @ 0/*-/ * 0-
1, 2:A A
A6/ 6// @ 0/*-/.
2.1.4 ECUACION DE ENERGIA ENTRE EL TANQUE DE DESCARGAY EL PUNTO MS ALTO DEL CONDUCTO (T).
"
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E * 08-+ * 0- 9/6/ * ,+8,+ 9+6 ,-:/ */ 07-,/ */ 960-
/:+0;6-,/ 0 * 96-,-9/* /,+6 ?8 ,+6->8@ /* /0,0+ * *8-+ /* ,+:+
0 =67 */0 0-0+*8/0.
2 2
( )
2
( )
2
2
2 2
2 2 2
2
2 2
2
2
2
2 2
2 2 2
2
2
(1 )
friccin
locales
a a b ba b f a b
bf a b
b
f
f loc
a b loc
bloc
b
loc
P v P vz z h
g g
vH h
g
v v
Lvh f
Dg
vh K
g
Lv vh f K
Dg g
v Lv vH f K
g Dg g
v
g
Hgv
Lf K
D
+ + = + + +
= +
=
=
=
= +
= + +
=
+ +
(2.5)
1AtmP
P60- /:+0;6-,/ * 98+ 1 (98+ 0,/60+*8/ * 98+ T
1v
V*+,-/ * *8-+ * 98+ 1
2v
V*+,-/ * *8-+ * 98+ T
1z
C+/ * P8+ 0,/6
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g G6/=/
A 9/6-6 */ ,8/,- (5) 09/+ */ 960- /:+0;6-,/ @ /,-+
096,-/>* */ ,/>/ =*+,-/ * /?8 ,/6
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*/ 6
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D+
2 0P
g=
L8
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$iura % +n sifn que descara aua por encima de una presa.
PRIMERA CONDICIN:
A9*-,/+ */ ,8/,- B6+8**- 6 * 98+ E /* 98+ B.2
0 02
a a!
P P vH h
g = + = + + +
(2.15)
DONDE
!h
6960/ */0 9;6-/0 ,/6 06 9+0--=/ */>+,/ 0/*-/ > 0-8/60 >/+ * 9*/+ ,/6/+ ,8/+0 :/@+60 0/ */0 9;6-/0 ,/6
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"h
R960/ */0 9;6-/0 ,/6
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=/*+60 ?8 =+*=-6/ *.
S
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* 0- +;P P!=
!v v=@
!# h=.
ECUACIN 3
A9*-?8 */ ,8/,- B6+8**- /* 98+"
+ * 0- =/,/ +cv v=
@"# h=
. A:70 */ 960- * 98+ 0/*-/ 0 / 960- /:+0;6-,/
0P P=.
2.2.2 !"#$%&'' '" &*+,:L/ =*+,-/ * 0- 07 9+6 *+ /+ -:98*0/+ -,/: 9+6 */ -6,-/ /*86/ 6 */ 0896-,- * 90-+ 0896-+6 @ * 98+ 6/. L/
/*86/ * 98+ -6:-+ /*+H!
+ /,/ / */ =*+,-/ * 0-. S-
:>/6
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?8 0 > 80/6 */ -6,-/ /*86/ 6 *+0 90-+0.
2.2.3 ALTURA MIMA:E0/ 0 */ /*86/ :7-:/ ?8 8 0- 8,-+/. E0 0-:9*: ,8/+ *90+ */ ,+*8:/ *?8-+ /0/ * 98+ -6:-+ /*+ ?8-=/* / */
960- /:+0;6-,/. S80-8@+ =/*+60 /67 /96+-://: 1& :6+0 /
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2.3.3 C$$ '"%07'$0 '" "70&'' ", %,#"A96+=,/+ */0 ,/6/,60-,/0 -678*-,/0
*+0 0-+0 0+0 0+ :70 -,-0 ?8 *+0 =66+0 *->60 9/6/
0,/6
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3. ARTE EERIMENTAL
3.1 MATERIALES
!2 B"%$- $ "'$$ !1 *"0$" $ 0#$%
&$" :"%&
3.2 PROCEDIMIENTO
1. E0-6/6 */0 :/
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4. C;LCULOS < RESULTADOS
D"&- $,:$*$0"%$-
L+- T15C
C+%'%&-
P1=P3=Patm=520mmHg=7069.4Kgf/m2=69350.814 Pa
H2O a 15=999.19 Kg/m3
m$% atmP gh P= =
atmm$%
Ph
g=
999.19
69
9
35
.8
0.81
7.1023
4m$%
m$%
h
h m
=
=
2&
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R/*-/+ * B/*/, M/6-/
( ). . 0A vc s cvv n d d + =
C+:+ * *8+ 0 ,+-8+ +,0 */ /,8:8*/,- 0 ,6+
0vd =
Q8/+
( ) ( ) ( )1 21 2 1 2 221 1 1 2 2 2
1 1 1 2 2 2
. . . 0
0
A A Acs cs
v n d v n d v n d
v A v A
v A v A
= + =
+ =
=
1 1 1 2 2 2 ( )v A v A m masa del fluido = = (4.1)
R/*-/+ * B/*/, E6-+ ,/*+6
0Q
t
=
N+ -0 6/>/+
0s&
t
=
T6/>/+ =-0,+0+ 096,-/>*
0&
t
=
Q8/+
21
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( )
( ) ( ) ( )1 1
1 11 1 1 1 1 1 1 1
1 1
0 .
. . .
Acs
A A Acs cs cs
Pe v n d
P PPe v n d e v n d e v n d
= +
+ = + + +
r r
r r ur ur ur ur
1 21 1 1 1 2 2 2 2
1 2
0P P
e v A e v A
+ + + =
(4.2)
# ,+:+
2
2P v Pe g#
+ = + + +
(4.3)
2 1 1h = (4.4)
R:9*//+ (4.1) (4.3) @ (4.4) (2) 0 +>-
2 2
1 1 2 21 2
1 22 2 l
v P v P g# g# h + + = + + +
(4.5)
K/**/+ 9;6-/0 >-+ / */ 6-,,- ( hl )
ECUACIN DE DARC
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v= 3.76 x10
6
4x (0.005)2
m/s
v=0.1915m/s
K/**/+ :6+ R@+*0
(viscosidada15C)=0.001139Kg/ms
!"
!"
0.005 0.1915!"
0.001139
999.19
Dv
Dv
%
=
=
=
!" 839.946=
K/**/+ * /,+6 6-,,- 9/6/ *8+ */:-/6
3
64
!"
7.6195 10
f
f
=
=
R:9*//+ *+0 =/*+60 */ 9;6-/ 9+6 6-,,- 0
2
2l Lvh f
Dg=
(4.6)
f C+-,- 6-,,- (/-:)
L L+6/ 6 *+0 98+0 (1) @ (2) (:)
D D-7:6+ * ,+8,+ (:)
g A,*6/,- ,// *->6 (%."1 :02)
23
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R:9*//+ */0 ,+-,-+0 (') +>:+0
hl=f L v
2
2Dg=7.6195103x
7.10x 0.19152
2x0.005x9.81=0.203m
1
2 3
0 /v m s
v v
==
2 0P (,8/+ 0 +>06=/ :+0
2
1 2ma# l
P vH h
=
(4.7)
D+
D0-/ * /6 * 9*/+ 2 (:)2
2
2
v
g C/66/ *+0
9*/+0 1 @ 1 (:)
R:9*//+ */0 ,+-,-+0 (4.!)
ma# 6.69295H m=
24
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C/*,8*/+ * W 66+6
"#$
% 10
6.53 6.783% 100% 5.73%
6.783
0%
erro
erimental terico
erro
r
r teric
%
o
= =
=
25
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5. DISCUSIN DE RESULTADOS
2'
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6. CONCLUSIONES
2!
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6. REERENCIAS BIBLIO=R;ICAS
G->0+ A*/:-6+ K. (1%!3). -idraulica y plicaciones.NX #+6 V/ N+06/C+.
G-*0 R. V. (2&&3). /ecnica de los fluidos e 0idra1lica.M;-,+ M, G6/XK-**I6/:6-,//. O>-+ 90.0*-0/6.6/0/6/96:,-,/*+0*8-+0-68*-,/6,6/-,-6//*==
,
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ANEOS
2%
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