DISEÑO Y MEDICION DE CAUDAL DE UNA CANALETA PARSHALL
INTEGRANTES: ARIAS RUIDIAZ PAUL PAUL KLEMENT BLANCO DURAN DAGOBERTO LUIS QUINTERO ORTIZ RICHARD EDUARDO
DOCENTE: Ing. LEONEL ROJAS
UNIVERSIDAD POPULAR DEL CESAR FACULTAD DE INGENIERIAS Y TECNOLOGIA INGENIERIA AMBIENTAL & SANITARIA VALLEDUPAR CESAR !"#$
INTRODUCCI%N R'() P*+)'' ,-n*/0123 45 6n5* +/gn/7/,/8 ' ,6(- 45 ' /ng5n/5*9 45 */5g- ,-n 5' 45+**-''- 45 1n 4/+(-+//8- 45 654/,/3n 45 7'1- ;15 +5 )/<- ,-n-,/4,-6=n65n5 ,-6- 5' 7-*4-* P*+)'' 2 +/g15 +/5n4- 6('/65n5 1/'/<4-. M5*/'5+ 45 ' ,-'5,,/3n /n,'125n ' (5n5 45 P*+)'' 5n +1+ >/n+*165n-+ 45 *5g/+ *5g/+* *- 7+5 7+5 45 g1 g1 7-* 7-*44-** V5n1* n1*/>. />. C-6= C-6=n6 n65n 5n5 5 5+-+ 5+-+ 7-* 7-*4-* 4-*5+ 5+ ,n'5+ +-n 1/'/<4-+ 6('/65n5 (* ' 654/,/3n 45 7'1- 45 1n */,)15'- +/n ;15 5+5 (14/5+5 (14/5+5 g5n5** (?*4/4 (?*4/4 45 5n5*g9 +/gn/7/,/8@ +/gn/7/,/8@ ,-n 5' (+- 45' /56(/56(+5 (154- 58/45n,/* ;15 ' +5,,/3n 45 ,-n85*g5n,/ (1545 +5* 4(4 (* -(* 1n *ng- 45 45+,*g* - ,14'5+ 3(/6-+ ),/5n4- 45 ' ,n'5 1n 0' 5+(5,/7/, 45 4-n45 +5 ,-n+*125n 45 ,15*4- 654/4+ 2 5n/5n4- 5n ,15n 1n ,*g 3(/6 ;15 ,/*,1'5 *8?+ 45' 6/+6-. L+ ,n'5+ P*+)'' +-n 1+4+ (* 165n* 5' g*4- 45 85'-,/44 45 1n */,)15'- - ,15*(- )94*/,,-6- +/+56 '3/,- ,1'65n5 5n +1 +5,,/3n 45 4/85*g5n,/ '15g- ;15 +'5 45 ' g*gn ' g5n5*,/3n 45 1*01'5n,/ 5+ 455*6/nn5 (* '-+ *6/5n-+ 45 g1 (-0'5 (-*;15 5+ 1+4- 5+5 (*/n,/(/- (* g*5g* ,-g1'n5 2 ;196/,-+ ;15 +5 )gn 5+5n,/ 5n 5' g1.
CANALETA CANALE TA PARSH PARSHALL ALL L ,n'5 P*+)'' P*+)'' 5+ 1n 5'565n- (*/6*/(*/6*/- 45 ,14' ,-n 1n 6('/ g6 45 ('/,,/-n5+ (* 654/* 5' ,14' 5n ,n'5+ 0/5*-+. P1545 +5* 1+4- (* 654/* 5' 7'1- 5n *9-+ ,n'5+ 45 /**/g,/3n 2- 45 45+g5 +'/4+ 45 ',n*/''+ g1+ *5+/41'5+ 85*/4-+ 45 70*/,+ 5, L Cn'5 P*+)'' A*-n 5+ 70*/,4 ,-n (-'/(*-(/'5n- '- ;15 '5 (5*6/5 *5+/+/* 56(5*1*+ 45 )+ " ' /*5 /*5 '/0* '/0*5 5 +/n +/n 560 560*g *g- - 5' g1 g1 ;15 ;15 7'12 7'125 5 (-* (-* ' ,n ,n'5 '5 n- (154 (1545 5 5+ 5+* * ,-ng5' ,-ng5'4 4.. A456 A456+ + ' Cn'5 Cn'5 P*+)' P*+)''' (1545 (1545 *5+/+/ *5+/+/** +-'1,/ +-'1,/-n5+ -n5+ 45 +'5+ +'5+ /n-*gn/,+ ,/4-+ 2 0+5+ ;15 n- (*5+5n5n 715*5+ (*-(/5445+ 45 -/4,/3n 2 1n ' ,-n,5n*,/3n 45 4/+-'85n5+ -*gn/,-+. E' 6- 6/6- 45 '-+ +3'/4-+ 5n +1+(5n+/3n n- (1545 +5* +1(5*/-* ' " 45 ' n,)1* 45' ,15''- 45 ' ,n'5. VENTAJAS •
• • •
• •
P5*4/4 45 5n5*g9 *5'/865n5 0 85,5+ /n75*/-* ;15 5n ,*5++ (*-n1n,/4+ P-, +5n+/0/'/44 ' 4/+*/01,/3n 45 85'-,/44 5n 5' ,n' 45 ,5*,6/5nM54/,/3n 45 ,14' /n,'1+- 5n ,-n4/,/-n5+ 45 /n1n44L 85'-,/44 45n*- 45 ' ,n'5 P*+)'' 5+ +17/,/5n565n5 ' (* (*585n/* ' 45(-+/,/3n 45 +54/65n-+ - ' ,161',/3n 45 5+,-60*-+ M9n/6- *5;1/+/-+ 45 6n5n/6/5n A6('/- *ng- 45 ,14'5+ L*g 8/4 =/'
DESVENTAJAS •
•
P* ' ,-n+*1,,/3n 45 5+ ,n'5 +5 (*5,/+ 45 ' 45,1,/3n 45 1n +//- 45 45+,*g 44- ;15 5+5 4505 (-+55* 1n /n,'/n,/3n ;15 (5*6/ ' 7-*6,/3n 1n 7'1- ,*9/,- 5n ' g*gn 45 ' ,n'5. L-+ ,-+-+ 45 ,-n+*1,,/3n 45(5n45n 45 '+ ,*,5*9+/,+ 45 ' 45+,*g 44- ;15 5++ /n7'125n 5n 5' /(- 45 65*/' 45 ,-n+*1,,/3n ,-6- 5n '+ 4/65n+/-n5+ 45' 4/+5-.
FUNCIONAMIENTO DE LA CANALETA PARSHALL S1 71n,/-n6/5n- 5+ 0+4- 5n ' +1n,/3n 45 ;15 5' 7'1- ,*//,- +5 (*-41,5 5+*5,)n4- ' n,)1* 45 ' g*gn 45 ' ,n'5 2 '58nn4- ' 0+5@ 5+5 575,- -0'/g ' g1 5'58*+5 - *56n+*+5 (*-,5+- ;15 450/4- ' ,5'5*,/3n 45' 7'1- (5*6/5 5+0'5,5* 1n *5',/3n 656/, 5n*5 ' 5'58,/3n 45' g1 2 5' g+-.
MANUAL DE INSTALACI%N INSTALACI%N DE MEDIDORES DE FLUJO PARSHALL PARSHALL ANTECEDENTES E' ,n' P*+)'' 5+ 1n 5+*1,1* 6-'454 5n 1n +-' (/5< 5n ('+/,*57-*<4*57-*<4- ,-n 7/0* 45 8/4*/- PRFV FRP 7/0* 45 8/4*/- (-* '- ;15 +5 -0/5n5 -0/5n5 1n g*n *5+/+5n,/ 65,n/, 2 ;196/,@ (*5,/+/3n 5n +1+ 4/65n+/-n5+ 2 7,/'/44 45 /n+',/3n. D50/4- +1 '/g5*5< n- +5 *5;1/5*5n 45 )5**6/5n+ 5+(5,/'5+ (* +1 /n+' /n+',/3 ,/3n n 2 5+ (*/,1 (*/,1'* '*65n 65n5 5 /n4/, /n4/,44- (* '1g*5+ '1g*5+ '/6/ '/6/4-+ 4-+ (-* -05-+ 2 ,-n+*1,,/-n5+ '54+. E+ 612 45,14- (* ' 654/,/3n 45 7'1-+ 45 g1 ,-n (5;15+ ,-n,5n*,/-n5+ 45 *5n 2 +3'/4-+ ,-n 85'-,/445+ 45 7'1- +10,*9/,+. S5 1/'/< (* ,n'5+ 0/5*-+ /(- >V5n1*> 45 7'1- ,*9/,-. P-* +1 (5n4/ (5n4/5n 5n5 5 ),/ ),/ 0 0- /n85 /n85* */4 /4 45 ' g*g g*gn n '5 (5*6 (5*6//5 5 71n, 71n,//-n n* * 45,1465n5 5n *ng-+ 6+ '-+ g1+ 0- g1+ **/0 45' n/85'. E+ 5' 6+ /n4/,4- (* 654/,/3n 45 7'1- 45 g1 5n g1+ ,'*+ g1+ *5+/41'5+ 2 ,n'5+ 45 */5g-. REQUERIMIENTOS DE INSTALACION INSTALACION FISICA
Velocidad Velocidad de llegada de la corriente L+ L+ 85'85'-,/ ,/44 445+ 5+ 65n65n-*5+ *5+ 45 ". ". 6+ 6+ 7,/ 7,/'/'/ n n 5' ,*5,/ ,*5,/6/ 6/5n 5n- 45 6'5 6'5< < '-+ '-+ /n+5,-+ 2 5' <-'85. P-* '- n- ' 85'-,/44 45 ''5g4 4505 5,545* 4/,)- 8'-*. S5 *5,-6/5n4 85*/7/,* ' 85'-,/44 45 ''5g4 n5+ 45 ,-n+*1/* 1n 7-*4-*. P-* '- 65n65n-+ + 5+ ,-n ,-n ,-n85 ,-n85n/ n/5n 5n5 5 *5'/ *5'/<* <* 1n 1n /n+( /n+(5, 5,,/ ,/3n 3n 8/+1 8/+1' ' (* (* 58/ 58/* * '+ '+ ,-**/5n5+ /n5+0'5+.
Características del flujo y necesidades operacionales P* ,-n* ,-n 654/,/-n5+ (*5,/++ 5' +//- 45 10/,,/3n 45' 7-*4-* 4505 (5*6//* g*n45+ (?*4/4+ 45 ,*g (* 0+-*05* 5' *56n+- 2 +9 (-45* 1/'/<* 1n *5',/3n =n/, 45 /*n5 2 g+-. E+ *5',/3n +5g1* ;15 '-+ '96/5+ 45 +165 +165*g *g5n 5n,/ ,/ n- +5 )n )n 5,5 5,54/ 4/44- - (-* (-* '- 65n65n-++ ;15 n- +5 5ng 5ng 1n 1n +165*g5n,/ 5,5+/8. P* 5' 4/+5- 45' 7-*4-* 5+ n5,5+*/- +05* +/ 5' +//- 45 10/,,/3n 45' 654/4-* 5+ /n7'15n,/4- (-* ' -(5*,/3n 45 ,-6(15*+ +-0*5 5' ,n' - +-0*5 '-+ ,n'5+ '5*'5+ L 5'58 5'58, ,/3 /3n n 45' 45' g1 g1 (154 (1545 5 8*/ 8*/* * n5 n5 ' (*5+ (*5+5n 5n,/ ,/ 45 <-' <-'85 85 - (-* (-* '+ '+ -(5*,/-n5+ (*-(/+ 45' ,n'@ 5+- 4505 -6*+5 5n ,15n (* '-+ 6/+6-+ 7/n5+ 45 6n 6n5n5 5n5** ' +165 +165*g5 *g5n, n,/ / 45n* 45n*- 45 '-+ '-+ '96/ '96/5 5++ 45, 45,1 14-+ 4-+.. D5+( D5+(1? 1?++ 45 +5'5,,/-n* 5n/865n5 ' '-,'/<,/3n 45' 7-*4-* +5 4505 ,-n-,5* 5' 69n/62 6/6- g+- ;15 ,/*,1' (-* 5' ,n' 2 '+ (*-71n4/445+ ,-**5+(-n4/5n5+ ' 85'-,/44 6/6 2 '+ 4/65n+/-n5+ 45' ,n' 5n 5' +//-. E++ 654/4+ 4505n
/n,'1/* 5' n,)- 45' ,n' '145+ (*-71n4/445+ 2 ' '1* 45 '-+ 0-*4-+ (-* g1+ **/0 ,-n 5+(5,/' 5n,/3n +1 ,(,/44 45 ,-n5n5* 5' /n,*565n- 45 n/85' ,1+4- (-* ' /n+',/3n 45' 7-*4-*.
Erosión I45'65n5 I45'65n5 5' *6- +5'5,,/-n4+5'5,,/-n4- 45' ,n' 4505 +5* 5+0'5. 5+0'5. En 'g1n-+ *6-+ 45' ,n' ' +54/65n,/3n -,1**5 41*n5 ' ?(-, 45 5+/5. L +54/65n,/3n (1545 (1545 ,60 ,60/ /** ' 85'-, 85'-,/4 /44 4 45' 45' ,5*, ,5*,6 6/5 /5n n- - (154 (1545 5 /n,' /n,'1+ 1+- 5n5** 5n5*** * ' 5+*1,1* 2 ' 5*-+/3n (1545 +-,8* 5' ,/6/5n- 2 45+g+* 2 *-6(5* 5' P*+)''. D505 *58/+*+5 5' 5+n,6/5n- 45' g1 n5+ 45' 7-*4-*. Un 5+n,6/5n5,5+ 5,5+/8 /8- ,-6= ,-6=n6 n65n 5n5 5 (*-8(*-8-, , +54/6 +54/65n 5n ,/ ,/3n 3n 450/ 450/44- ' *541,, *541,,/3 /3n n 5n '+ '+ 85'-,/445+ 45 ''5g4.
Trao Trao recto ínio antes del Pars!all Un 45 '+ (*/n,/('5+ *5+*/,,/-n5+ ;15 4505 5n5* 1n +//- 4-n45 +5 8 ,-'-,* 5' 654/4-* 5+ ' 1n/7-*6/44 1n/7-*6/44 45 ' ,-**/5n5. E+- +/gn/7/, +/gn/7/, ;15 n5+ 45' 654/4-* +5 4505 5n5* 1n *6- *5,- 2 +/n -0+,1'-+ 45 1n '-ng/14 69n/6. L-+ -0+,1'-+ (1545n +5* /n,'1+/85 0n,-+ 45 *5n - 45 g*8 +5n4-+ 5n 5' 7-n4- 45' ,n' ,-6- (*-41,- 45' <-'85. P-* '- 65n-+ +5 4505 5n5* 1n *6*5,- 45 1n '-ng/14 /g1' #" 85,5+ 5' n,)- 45' 7-n4- 45' ,n'. E' 7-n4- 45' ,n' 5+ 4/75*5n5 (* ,4 /(- 45 +5,,/3n *n+85*+'. S/ 5' ,n' 5+ *5,ng1'* 5' 7-n4- +5* /g1' ' n,)- 45 ' +1(5*7/,/5 45' g1. S/ 5+ /**5g1'* 5' 7-n4- +5* (*-/6465n5 ' (*5 6+ )-*/<-n' 45' 7-n4-. L-+ 654/4-*5+ 45 7'1- P*+)'' 4505n 10/,*+5 5n *6-+ *5,-+ 45 ,n' ,-n 5''- +5 g*n/< ;15 5' 7'1- +5 1n/7-*65 2 ;15 '+ 654/,/-n5+ +5n ,-n7/0'5+.
"NSTALAC"#N E' 654/4-* P*+)'' +5 +-(-** 5n -4 +1 0+5 2 (*545+ '5*'5+ +-0*5 1n +1(5*7/,/5 +3'/4 (* 58/* 5+715*<-+ /nn5,5+*/-+ ;15 (-4*9n 7*,1** 5' 7-n4- '+ (*545+. T-4- 5' ,15*(- 45' 654/4-* P*+)'' +5 4505* 560505* 5n ,-n,*5- +/n 45* )15,-+ 5n*5 ' +1(5*7/,/5 55*/-* 45' P*+)'' 2 +1 (-2- 45 ,-n, ,-n,*5 *5-.. L +-(+-(-* *, ,/3 /3n n 5 /n+ /n+' ', ,/3 /3n n 5+ (-* (-* ,15n ,15n 45 45' 45' ,'/5 ,'/5n n5. 5. Un Un /n45, /n45,14 14 +-(-* +-(-*,/3 ,/3n n ,1+* ,1+* ' *1(1* *1(1* 45' 5;1/(5;1/(- 45n4 45n4- +/n 575,575,- ' g*n9.
FIG. 1
L-+ 7-*4-*5+ P*+)'' )n +/41+4-+ ,-6=n ,-6=n65 65n n5 5 41*n 41*n5 5 61,)- /56(- 450/4- 5+5 1+- +5 '5 ) (-4/4-
5+0'5,5* 654/4+ -(/6+ 45 ,15 ,15*4 *4- '-+ '-+ ,14 ,14' '5+ 5+ 6/ 6/66-++ 2 69n/6-+ ;15 5+-+ (14/5+5n +-(-** 5+-+ ;15 8n 5n 71n,/3n 45' n,)- 45 ' g*g *gn n 5' ,1' ,1' (-45 (-4566-++ 4/8/+* 5n ' +/g1/5n5 0' ,-n +1+ ,',1'-+ ,',1'-+ (*545 (*5455*6/ 5*6/n4n4-++ (* ,4 ,4 1n 45 '+ +5,,/-n5+ 45 ' )- n5*/-*.
TABLA TABLA 1
DISEÑO DE UN CANAL PARSHALL PARSHALL T5n/5n4T5n/5n4- 5n ,15n '+ 4/65n+/-n5+ 2 (*55+0'5,/4+ 5n ' 0' # 4/+5*56-+ 1n ,n'5 P*+)'' (* 1n C14' M/6- 45 " L+ ". 6 +. Y5n4- ' T0' 0' # 455 455*6 *6/n /n6 6-+ -+ '+ '+ 4/65 4/65n+/ n+/-n -n5+ 5+ (*55+ (*55+ 0' 0'5, 5,/4 /4++ (* (* ' ,n'5 -05n/5n4- (* ,4 +5,,/3n '-+ +/g1/5n5+ 8'-*5+. ".#$ K"." M". D#.$! N".!" K"." C#.!!" G".#$ A (*/* 45 5+-+ (*-,5456-+ ,',1'* '-+ *5;15*/6/5n-+ 45 ' ,n'5: # A'1* A'1* g1+ g1+ **/0 **/0 45 ' ' +5,,/3n +5,,/3n 45 654/,/3 654/,/3n n M
H 0= K Q =0.608 ∗( 0.760 )
0.639
=0.510 metros
! An,)An,)- 45 45 ' +5,,/3 +5,,/3n n 45 654/,/ 654/,/3n 3n '
D =
2 ( D −W ) + W 3
=
2 ( 1.572 −0.915 ) + 0.915 3
=1.048 metros
V5'-, V5'-,/4 /44 4 5n ' +5,, +5,,/3n /3n 45 45 654/,/ 654/,/3n 3n V 0=
Q '
D ∗ H 0
=
0.760
∗
1.048 0.510
= 1.42 metros / segundos
C14' C14' 5+(5 5+(5,97 ,97/,/,- 5n ' g*gn g*gn q=
Q 0.760 = =0.83 metros2 / segundos W 0.915
$ C*g C*g H/4*1 H/4*1'/, '/, D/+( D/+(-n/ -n/0'5 0'5
( ) 2
V 0 E0= H 0+ N + =0.510 + 0.230+ 2g
[
]
(1.42 ) = 0.84 metros 2∗9.81 2
C-+5n- 45 cos α =
−q∗ g
= 1.5
[( ) ] [ ( 2g 3
∗ E0
−0.83∗9.81 2∗9.81 ∗0.84 3
) ]
1.5
=−0.63
V'-* 45 H5g5+/6' −1
α =cos
(−0.63 )=129 ° 3' 0.44
V5'-, V5'-,/4 /44 4 n5+ n5+ 45' *5+' *5+''
129° 129 ° 3 0.44 } over {3} right )} =3.29 metros/segundos
V 1=
2 √ 2 g∗ E 0 3
¿ ¿
α 2 2∗9.81∗0.84 ∗cos = √ ∗cos ¿ 3
3
A'1 A'1* * 45' 45' g1 g1 H 1=
q 0.83 = =0.25 metros V 1 3.29
#" N=65*N=65*- 45 F*-145 *ng*ng- 45 ! .$ V 1
Nf =
√ g H
1
=
3.29
9.81∗0.25 √ 9.81
=2.1
## ## A'1* A'1* 45' R5+'R5+' H 1( √ 1 + 8 Nf −1 ) 2
H 2=
2
=
0.25 ( √ 1 + 8∗( 2.1 )
#! V5'-,/44 5n 5' *5+'*5+'-
2
2
−1 )
=0.63 metros
V 2=
Q 0.760 = =1.32 metros / segundos W ∗ H 2 0.915 ∗0.63
# A'1* 5n ' +5,,/3n +5,,/3n 45 +'/4 5n ' ,n'5 H 3= H 2−( N N − K )= 0.63−( 0.23 −0.08 )= 0.48 metros '
# V5'-,/44 5n ' +5,,/3n 45 +'/4 V 3=
Q 0.760 = =1.30 metros C ∗ H 3 1.22∗0.48
#$ P?*4/4 45 ,*g 5n 5' *5+'*5+' H p= H 0 + K ' − H 3=0.510 + 0.08−0.48 =0.11 metros
# T/56(- 45 M5<,' 5n 5' *5+'*5+'τ =
2 W
V 2 + V 3
=
2∗ 0.915 1.32 + 1.30
=0.70 segundos
# G*4/5n5 G*4/5n5 45 85'-,/44 85'-,/44 T#"WC ∂ (5+- 5+(5,97/,- @ X 8/+,-+/44 G=
√ √
√
∂ H P 0.11 ∗ =2736.74 ∗ =1084.88 segundos−1 μ τ 0.7
MEDICION DE FLUJO DE UNA CANALETA PARSHALL
C-n4 C-n4/, /,//-n5 n5++ (* (* 5' ,', ,',1' 1'- 45' 45' C14 C14' '
D5056-+ 5n5* 5n ,15n ;15 n15+* g19 5+ ' 7/g1* # '+ +5,,/-n5+ 6+ /6(-*n5+ (* ' 654/,/3n 45' ,14' +5*n H H 0 2 5+ ='/6 **/g4 '-+ 4-+ 45 ' T0' #. H2 4-+ /(-+ 45 6?-4-+ (* ' 455*6/n,/3n 45' ,14' 45' 7-*4-* (-* $escarga Li%re y $escargar por Suersión o A!ogada& 60+ /5n5n +1 7-*6 45 *0* 2 654/* 5' ,14' 4/+/n- 5+ (-* 5+- ;15 )2 ;15 5n5* 5n ,15n '+ +/g1/5n5+ ,-n+/45*,/-n5+. C1n4- ' ,*g H0 5+ ,-n+/45*0'5 ,-n+/45*0'565n5 65n5 65n-* ;15 ' ,*g H +5 4/,5 ;15 5' 654/4-* *0 ,-n 45+,*g L/0*5 2 5n 5++ ,-n4/,/-n5+ 5' g+- 5+ 71n,/3n
=n/,65n5 45 ' ,*g H 45 ' 5n*4@ (5*- ,1n4- ' ,*g H0 457/5*5 (-,- 45 ' ,*g H +5 4/,5 ;15 5' 654/4-* *0 ,-n S165*+/3n S165*+/3n 2 5n-n,5+ 5' g+- 5+ 71n,/3n 45 '+ 4-+ ,*g+ H 2 H0. A ' *5',/3n
=
H! H"
+5 '5 ''6 'rado de
6-65n- 44- 5' 654/4-* *0 ,-n Suersión 2 5+ ' ;15 455*6/n +/ 5n 1n 6-65n45+,*g '/0*5 - ,-n +165*+/3n 5++ ,*,5*9+/,+ 45 5+,1**/6/5n- 5+n 455*6/n4+ ,-n '-+ +/g1/5n5+ 8'-*5+ '96/5+: TAMAÑO TAMAÑO DEL MEDIDOR DESCARGA LIBRE CON SUMERSI%N
L+ /n85+/g,/-n5+ 45 P*+)'' 6-+**-n ;15 ,1n4- 5' g*4- 45 +165*+/3n 5+ 62-* 45 $ ' 455*6/n,/3n 45' g+- +5 815'85 612 /n,/5* 450/5n44-(*+5 (-* '- n- $ ,-6- 8'-* 6/6- 45 SUMERGENCIA.
$ESCAR'A L"(RE L 5,1,/3n Q= M ∗( ∗g5n5*' ( H )n 5+ 44 (-* ' +/g1/5n5 5(*5+/3n: "
Q : C14'. H: (*-71n4/44 45' g1 5n 1n 10/,,/3n 455*6/n4 45' 7-*4-*. M 2 n: +-n 8'-*5+ 4/75*5n5+ (* ,4 6- 45 7-*4-*.
TABLA !
P*+)'' '-g*3 456-+** ;15 (* ,4 n,)- 45 ' g*gn +5 (-49 455*6/n* 1n 71n,/3n 4/+/n 45 6 2 n ,-6- ,-n+n5+ +9 6/+6- 5'0-*3 73*61'+ 0+4+ 5n 5' n,)- 45 ' g*gn ,-6- *ng- =n/,- ' ,1' 5+ 5n 71n,/3n 45 ' '1* 2 1n-+ 8'-*5+ ,-n+n5+ *5(*5+5n/8-+ 45 6 2 n. En ' +/g1 +/g1/5 /5n n5 5 0' 0' (*5,/ (*5,/6 6-+ -+ '+ '+ 73*6 73*61' 1'+ + 45 C14 C14'' (* (* ,4 ,4 *ng*ng- 45 5(*5+4 5n 65*-+ 2 (/5+.
TABLA
$ESCAR'A C#N S)*ERS"#N # AH#'A$A n
Q= M ∗ ( H " ) −C
L 5,1,/3n g5n5*' 5+ 44 (-* ' +/g1/5n5 73*61': D5 4-n45 C 5+ 1n 7,-* 45 ,-**5,,/3n -05n/4- (*/* 45 '+ +/g1/5n5+ 73*61'+ 01'4+ 45 ,15*4- ' n,)- 45 ' g*gn. E' (*-,54/6/5n- 45' ,',1'- 45' ,14' +5 ),5 45 ' 6/+6 7-*6 ;15 5n 45+,*g '/0*5 n +3'- )2 ;15 *5+* 5+5 ,-57/,/5n5.
E+-+ 7,-*5+ 8n '/g4-+ ;15 ,1n4- +5 *0 ,-n 45+,*g )-g4 5' ,-,/5n5 5n*5 '+ '1*+ 45 '+ ,-+ 45 '6/n 45 g1 n5+ 2 45+(1?+ 45 ' g*gn g*gn (5*,5( (5*,5(/0' /0'565 565n5 n5 n- (*5+5n (*5+5nn n 4/75*5 4/75*5n,/ n,/ 'g1n 'g1n 450/4450/4- ' g*n g*n 6gn/14 ;15 (14/5+5 5+* *n+(-*n4- 5n ,14' 5' ,n'55 (-* 5+- P*+)'' 56 56/n /n3 3 5+5 5+5 (*-0 (*-0'5 '56 6 2 455 455*6 *6/n /n- 575, 575,//8 865 65n n5 5 5+5+-++ ,-57 ,-57/, /,/5 /5n n5+ 5+ 45 ,-**5,,/3n ;15 ,5n=n 5' ,14' ;15 5n +9 +/ +5 5+ *n+(-*n4-.
EJERCICIOS DE DESCARGA LIBRE.
#. D55 D55*6 *6/n /n5 5 5' g+ g+- (* (* 1n 7-* 7-*4 4-* -* (*+ (*+) )'''' ;15 ;15 /5n /5n5 5 1n n,) n,)- 45 g*gn 45 $". 66 2 1n (*-71n4/44 45 #"" 66 n
Q= M ∗( ∗( H " )
D-+ W = 50.8mm 50.8 mm
H "=100 mm
E' 55*,/,/- +5 5n,15n* 45+,*g '/0*5 2 45 ,15*4- ' 5,1,/3n 45056-+ 01+,* '-+ 8'-*5+ 45 M # n 5n ' 0' *5+(5,/8. M =0002702
n =155
S5 *56('< 5n ' 7-*61'. 100
¿ ¿
Q=0002702 ∗¿ Q=340
$
!. D55*6/n5 D55*6/n5 5' C14' C14' 45 1n 1n ,n'5 ,n'5 P*+)'' P*+)'' ;15 /5n5 /5n5 1n (*-71n4/44 (*-71n4/44 45 45 ! 65*-+ 2 1n n,)- 45 g*gn 45 65*-+. D-+ H "=2 m
W = 7 m
E' 55*,/,/- +5 5n,15n* 45+,*g '/0*5 2 (* 5+5 6?-4- 01+,6-+ 5' ,14' 45 ,15*4- ' 73*61' ;15 +5 1+ ' n,)- 45 ' g*gn *5+(5,/8. P*: 65*-+ 65*-+
7m
C14'
2.50− 15.00
( 2.293 W +0.474 ) ( H " )1.6
B+n4-+5 5n ' 7-*61' +5 *556('<n '-+ 4-+ (* ' 455*6/n,/3n 45' ,14'. +0.474 ) Q=( 2.293 W +
1.6 ( H " )
Q=( 2.293 ( 7 )+ 0.474 )
1.6 (2 )
3
m Q=50.0 s
EJERCICIOS DE DESCARGA AHOGADA
. D55 D55*6 *6/n /n5 5 5' g+ g+- (* (* 1n 7-* 7-*4 4-* -* (*+ (*+) )'''' ;15 ;15 /5n /5n5 5 1n n,) n,)- 45 g*gn 45 .#" 6 ,-n 1n g*4- 45 +165*g5n,/ 45' 2 ,-n n/85' 45 g1 45 #.$" 6 45 '1* H " . n H " ) −C F-*61' 45 ,14' (* 45+,*g )-g4 Q = M ∗ ( H
S#L)C"+N
D-+ W = 6.10 m
=0.89
H "=1.50 m
P* P* 4541,/* 4541,/* +/ 5' 55*,/,/55*,/,/- +5 5n,15n 5n,15n* * 45+,*g 45+,*g '/0*5 '/0*5 - 45+,*g 45+,*g )-g4 )-g4 +5 4505 5n5* 5n ,15n 5' n,)- 45 g*gn Y EL g*4- 45 +165*g5n,/ S ;15 (* n15+*- ,+- 5+ 45 . E+-+ 8'-*5+ '-+ /45n/7/,6-+ 5n ' g*7/, *5+(5,/8.
C-6- 5' g*4- 45 +165*g5n,/ +5 5n,15n* 5n 5' /n5*8'- 45 ". ".$ +5 4/,5 ;15 5+ +165*+/3n (-* '- n- +5 *5+15'85 (-* 45+,*g )-g4 450/4- 5+- +5 /5n5 ;15 *5'/<* 1n 7,-* 45 ,-**5,,/3n (* (-45* 455*6/n* 5' ,14'. n H " ) −C F-*61' 45 ,14' (* 45+,*g )-g4 Q= M ∗( H
C =¿
E+ 5' 7,-* 45 ,-**5,,/3n 5' ,1' 5+ '/g4- ,-n 5' n,)- 45 '
g*gn 5' g*4- 45 S165*g5n,/ 2 H: E' n,)- 45 ' g*gn (*5+5n5 (* 5+5 55*,/,/- 5+ 5n 1n /n5*8'- 45 !.$" #$.""6 2 (* 5+-+ 4-+ ,-**5+(-n45 5' +/g1/5n5 7,-* 45 ,-**5,,/3n.
0.71 0.89
¿
−¿
1.50
¿ ¿
C =69.671 ¿ C =3.10
S5 *556 *556(' ('< < 5n ' 73*6 73*61' 1' 45 ,14 ,14' ' (* (* 45+, 45+,*g *g )-g )-g4 4.. P5*P5*/n/,/'65n5 +5 01+,n '-+ 4-+ 45 M # n 5n ' g*7/,.
n
Q= M ∗( H H " ) −C Q=14.45 ∗( 1.50 )
1.60
−3.10
Q=27.64 −3.10 m Q=24.54 s
3
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