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7/25/2019 Calculos de Francis
1/3
1. POTENCIA DEL AGUA (H Pa ).
H P a= Q H
(
D o nd e : :p es o e s pe c f i co .
Q: c au d al.
H: a lt ur a e f e ct i v a
)H=Z+
P
+V
12V
22
2 g (D o n d e :
V: v e l o c i d a d . P
:a l t u r a e s t t i c a . )
Caso particular del equipo en el laboratorio.
Z=1.21mh(D o n d e : h :al t ur a e n e l l imn m e t r o . )
D1=.1!2 m
D2=.2!m
Q=1."1# h! /2
P=! P s i=$"."%" & P a
='.(1& )
m$
Reemplazando datos en la ecuaciones anteriores.
h=1#.$cmZ=1.21mh=1.21.1%#=1.$" m
Q=1."1#*h!/2
=1."1#*(.1%# )!
2 =.1("
m$
s
+ e s a , e : V=" Q
- D2
Entonces.
V1=" Q
- D12
="*.1("
- * .1!2 2 =1.1"
m
s
V2=" Q
- D22=
"*.1("
-*.2!2 =.$%"(
m
s
Ahora calculemos H.
H=Z+P +
V12
V22
2 g =1.$"+$"."%"
'.(1 + 1.1"
2
.$%"(2
2*'.(1 =".!'$$m
7/25/2019 Calculos de Francis
2/3
Finalmente obtenemos ( H Pa ) .
H Pa=QH='.(1& )
m$* .1("
m$
s* ".!'$$m=.(2'1&
. POTENCIA AL E!E ("#P)
/=0 *
D o n d e :
0: f u e r a e n e l d i n a m3 m e t r o.
=# =.1!2" m
f=D=2.2 4 g2 4 g=.2 4 g
0=f g=.2 4 g * '.(1m
s2=1.'#2 )
/=1.'#2 ) * .1!2"m=.2'' ) * m
5omo : 6=- )
$ 6=
-* 1!2
$ =11.1#!
r ad
s
7 H P=/ * 6=.2'') * 11.1#!r ad
s =$2.'$'8 at t s
$. E%ICIENCIA TOTAL.
nt=7 H P
H P a
Reemplazando valores.
nt=7 H P
H P a=$2.'$'
(2'.1*19=$.%' 9
N&
'(c)
()
*($+s)
,-(+s
)
,(+s
)
#()
H Pa
(/)
f
(01)
%(N)
T(N2
)
6
(r a d
s )
"#P(/)
nt
(3)
1 16.3 1.047 0.01519 0.8371 0.3094 4.5920 0.6843 0.0 0.0000 0.0000 131.84 0.00000 0
2 17.6 1.034 0.01840 1.0140 0.3748 4.5933 0.8291 0.2 1.9620 0.2990 110.17 32.9390 3.79
3 17.7 1.033 0.01866 1.0283 0.3801 4.5937 0.8409 0.6 5.8860 0.8970 105.56 94.6850 11.26
4 17.9 1.031 0.01920 1.0581 0.3911 4.5944 0.8654 1.0 9.8100 1.4950 103.25 154.364 17.84
7/25/2019 Calculos de Francis
3/3
5 18.2 1.028 0.02000 1.1022 0.4074 4.5956 0.9017 1.6 15.696 2.3921 88.97 212.825 23.60
6 18.3 1.027 0.02029 1.1182 0.4133 4.5962 0.9149 2.2 21.582 3.2891 80.80 265.765 29.05
7 18.5 1.025 0.02084 1.1485 0.4245 4.5972 0.9399 2.8 27.468 4.1861 69.58 291.251 30.99
8 18.6 1.024 0.02113 1.1645 0.4305 4.5978 0.9531 3.4 33.354 5.0831 62.30 316.666 33.22
9 18.6 1.024 0.02113 1.1645 0.4305 4.5978 0.9531 3.8 37.278 5.6812 47.61 270.457 28.38
N&
'(c)
()
*($+s)
,-(+s
)
,(+s
)
#()
H Pa
(/)
f
(01)
%(N)
T(N2
)
6
(r a d
s )
"#P(/)
nt
(3)
1 16 1.940 0.01450 0.7991 0.2954 5.4823 779.83 0.0 0.0000 0.0000 112.15 0.0 0
2 16.6 1.934 0.01590 0.8762 0.3239 5.4820 855.08 0.2 1.9620 0.2990 99.672 29.8020 3.49
3 16.8 1.932 0.01638 0.9027 0.3337 5.4820 880.89 0.9 8.8290 1.3455 99.986 134.531 15.27
4 17.1 1.929 0.01712 0.9435 0.3488 5.4823 920.74 2.2 21.582 3.2891 66.089 217.373 23.61
5 17.4 1.926 0.01788 0.9853 0.3642 5.4829 961.72 2.9 28.449 4.3356 53.418 231.599 24.08
6 17.6 1.924 0.01840 1.0140 0.3748 5.4834 989.76 3.1 30.411 4.6346 41.720 193.356 19.54
7 17.6 1.924 0.01840 1.0140 0.3748 5.4834 989.76 3.5 34.335 5.2327 21.761 113.869 11.50