Calculos de Francis

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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

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    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

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    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