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    TABLA DE CONTENIDOS

    INTRODUCCIN.Pa

    g2 OBEJTIVOS

    ..Pag3

    MARCOTEORICOPag4

    MATERIALES YMETODOS.Pag5-6

    RESULTADOS.Pag7-

    DISCUSIN YCONCLUSIONES.Pag!"

    BIBLIO#RA$IA Pag!!

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    INTRODUCCION

    E% &'(& )%*+,& ,&'&%(a+' /a &0&,)&%1)a & ,)a' & 1a,ga' +,*,)11)% &% + (,8/&%(+ &% (8&,9a' /)'a' : ,g+'a'; &/ +8&()/)1+ 1+% /a

    &(,+' : ! (8+ & ,g+')a a,()@1)a/;.

    A&>' '& ,&/a1)+%a,> &/ 1+&@1)&%(& & *,)11)% 1+% &/ %&,+ &R&:%+/'; /+ 1a/ %+' a:a,a a &%1+%(,a, /a ,g+')a & 1aa (8&,9a1+% a:a &/ >8a1+ & M++:.

    E'(+' a%>/)')' '& &'a,,+//a% 1+% /a +8(&%1)% & a(+' &% /a8+,a(+,)+ :/+' a(+' ,++,1)+%a+' +, &/ ,+*&'+,; +%& 1+,+8a,&+' /a

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    OBJETIVOS

    L+' +8&()&(,+' : %(8+ & ,g+')a a,()@1)a/.

    3. D&(&,)%a, /a ,g+')a a8'+/(a ? a,a 1aa (8+.

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    MARCO TEORICO

    RELACIN ENTRE PENDIENTE FIDRGULICA Y VELOCIDAD MEDIA

    $/+ T,8/&%(+ ?R&H4"""

    D& /a E1a1)% & Da,1:

    hf=f L

    D

    U2

    2g

    hf

    L=f

    1

    D

    U2

    2g

    hf

    L U

    2hf

    L=cU

    2

    =* P&,)a & 1a,ga +, *,)11)+%* C+&@1)&%(& & Da,1:-&)'8a1=L L+%g)( &/ (,a+D D)a&(,+ )%(&,%+U V&/+1)a &)a

    RELACION ENTRE EL COE$ICIENTE DE $RICCION Y EL REYNOLDS

    Pa,a + (,8/&%(+ &% (8&,9a /)'a ?R& !"6$+,/a & B/a')' f=0.3610.25

    Pa,a + (,8/&%(+ &% (8&,9a ,g+'a

    F)(&')' & N)K,a'& f=( ,

    D)

    $+,/a' & V+%-a,a% P,a%(

    1

    f=2.0log (f)0.8 L)'+

    1

    f=2.0log ( 3.71D ) Rg+'+

    $+,/a & C+/&8,++K-=)(&

    1

    f=2.0log (

    3.71D+2.51

    f)

    D)ag,aa & M++: M&'(,a %a ,&,&'&%(a1)% g,a@1a & /a'/&:&' & ,)g&% &/ 1+&@1)&%(& & *,)11)%.

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    B+8a

    P)&&(,+'

    T8&,9a

    D!.4

    L!.6"

    ! 2

    L.#.F

    B

    Ta%& & aga

    T&,&(,+

    =*=!-=2

    MATERIALES Y METODOS

    Ma(&,)a/&'a Ca(,+ (8+' )*&,&%(&' & PVC & )>&(,+' !.4"

    ;!5.75;!7;22;55

    8 U% (8+ >'&,+ a,()@1)a/&%(& & ! 1 S)%)'(,+ 1+%'(a%(& : &,a%&%(& & aga 1+% % &)+ &&(,+ ?D &/ (8+.8 V&,)@1a, /a =+,)+%(a/)a &/ (8+ 8a+ ,&8a.1 E%1&%&, &/ +(+, E/))%a, (++ &/ a),& 1+%(&%)+ &% /+' )&&(,+' ?,ga,.

    & A8,), /a /0. &% &/ (8+. C+% /a +(,a /

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    M(++R&/a1)% g,a)&%(& =),>/)1a - V&/+1)a

    D& /a (&+,9a 'a8&+' &

    hfL=f 1

    DU

    2

    2g h f

    LU2 ?T,8/&%(+

    #&%&,a/)a%+hf

    L=CUm

    E%(+%1&' (+a%+ /+ga,)(+

    loghf

    L=logCUm log

    h f

    L=logUm+ logC

    loghf

    L=mlogU+logC y = mx + a

    IMPORTANTE E/ 2R&/a1)% 1+&@1)&%(& & *,)11)% : R&:%+/'

    #&%&,a/)a%+

    f=C

    m

    E%(+%1&' (+a%+ /+ga,)(+

    log f=logCm log f=log

    m+ logC

    log f=m log+logC y = mx + a

    $/+ T,8/&%(+ -".25 : C".3!6

    RESULTADOS

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    =!?

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    =!-=2?

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    356 267 "."463

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    6

    L? 5!" !53 357".!5"

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    Rg+'+ 447 2 !4

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    D? =!?1 =2?1 V?3T?,+&)+ ?3Q'

    !.4 !!5.5 !.5 ".""23.733333

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    -".6 -".5 -".4 -".3 -".2 -".! " ".! ".2 ".3

    -2.5

    -2

    -!.5

    -!

    -".5

    "

    *?0 !.570 - !.25R ".

    *?0 *?0 *?0 *?0

    Log(U) vs Log(hf/L)

    D!5.75 L)%&a, ?D!5.75 D!7 L)%&a, ?D!7 D22.5" L)%&a, ?D22.5" D!

    L)%&a, ?D! L)%&a, ?D! D!.4 L)%&a, ?D!.4

    Log(U)

    Log(hf/L)

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    D&/ g,a@1+ a%(&,)+, +&+' +8'&,8a1+ & M++:; &/ 1a/ &)a%(&'&,+')1)% +,&+' &(&,)%a, /a ,g+')a a8'+/(a & /+' (8+'.

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    O8(&%1)% & /a' ,g+')a&' & /+' (8+'

    Pa,a (8+ /)'+ & D!5.75S&g% &/ >8a1+ & M++: +8(8a1+ & M++: +8(

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    DISCUSIONES Y CONSLUIONES Ca8)a,/+' 0 '+% &/ /a8+!WWWW

    T,a' /a &0&,)&%1)a ,&a/)aa +&+' /)1a &' ),&1(a&%(& ,++,1)+%a/ a /a ()1a a,a +(,8/&%(+.

    La ,&/a1)% &/ %&,+ & R&:%+/' : &/ 1+&@1)&%(& & *,)11)%a,a + (,8/&%(+ '& a,+0)a 1=+ a /a (&+,9a &'a,,+//aa;/+ 1a/ 1+,&8a '

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    BIBLIO#RA$IA

    - M&1>%)1a & $/)+' & F),>/)1a-S1=a

    - F),>/)1a & T8&,9a' : Ca%a/&' X A,(,+ R+1=a $&/)1&'

    - $%a&%(+ & /a M&1>%)1a & $/)+'-M%'+%

    - I%(,+11)% a /a M&1>%)1a & $/)+'-R+8&,( . $+0

    - M&1>%)1a & $/)+'-S=a&'