Informe Flujo Laminar

8/18/2019 Informe Flujo Laminar

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UNIVERSIDAD CENTRAL DE VENEZUELA

FACULTAD DE INGENIERIAESCUELA DE INGENIERIA CIVILDEPARTAMENTO DE INGENIERIA HIDRAULICA

LABORATORIO DE FLUIDOS (1368)PROF. MARÍA DALE / PROF. JURGEN TORRES

TRABAJO PRÁCTICO No. 2FLUJO LAMINAR EN TUBERIAS

INTEGRANTES (G!"# 3)$

LUIS ESCOBAREDEL%N LUCENA

AVELINO MEDINACARLIS RAMÍREZ

CARACAS& NOVIEMBRE DE '1.


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Introducción

C!*+# * +#4 "=-!74 * 9#,9,*# :,4 -#,. E4 ,"# + ;7!2# ;! ,+*,;,-+# "# O. R>*#7+4 > 4 +*#9,*79,*& 5!,*+# 4,*#7+4. E4 *?7,4,4 4 ,9"#* * 7#4 -4#4+#*+ 7 ;7!,+# + 4 *4"#+# + !* 7!7 4,*#7+4 * 1883. R>*#7+4 #4# 5! 7 ,"# + ;7!2# +5!,,+# "# !*7=5!,+# 5! ;7!> +*# + !* != +"*+ + 7 7#-,++ +7 7=5!,+#& 7+,?9# + 7 != > + 7

1


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Objti!o"$

) V,;,- 7 7,+ + 7 E-!-,0* + H "?-,-& + 7 "*+,* + 7 7=* + 7! ",#9,-

+ !* ;7!2# 79,*& "9** > !*,;#9 * !* !=.

) D9,* :",9*79* 7 ";,7 + 7#-,++4 * !*!=& " 7 -4# +

E#ui$o % uti&i'%r $

) T!= + -,-!7-,0*& 5! -#*,* -,.

) C#*2!*# + ",09#4.

-) T!# +,4,!,+# + -#*:,#*4.

+) A -#* 9-!,# -#9# 7=5!,+#,*+,-+#& "


5/21

Procdi(into )$ri(nt%&$

1) S ,+*,;,-#* 74 "4 +7 5!,"# !,7, * 7 7##,#.

') S +9,*0 7 +,?9# +7 4*5! #7!9,-# + ' 99 + 4"4#.

3) S +9,*0 7 +,?9# + 7 != + -,-!7-,0* !,7,*+# 7 *, + 7

) S "! +2*+# 5! 7 , 4-" "# 7 +4- 4 -#*-#*74 -#*:,#*4 + 7

4!3


6/21

N#. 1 4 7 ",09# N#. . E4 +,4*-, + 9+,4 * 2 > 2 +-+

1) S -#*-0 7 ",9

+ -, > 4"0 !*#4 9,*!#4 4 5! 7 -#7!9* + -, 4 4,7,-.C 7 77 + "! 7 77 +7 ",09# + -,. S ",,0 7"#-+,9,*# *,# > #90 7 7-! + 7 *! -#7!9* ",#9,-.

Prc%ución* S, 7 -#7!9* + -, -#4"#*+,* 7 9+,-,0*:",9*7 + -!75!,

11) S -#*-0 7 4" !* ,9"# "!+*-,7 4 5! 7 7-! + -, 4 4,7,-. S ,0 7 "!1') U* ;,*7,+# 7 :",9*#& 4 -#* 74 ?7!74 > ,;,-05! 4 +2+# #+# * #+*.

4


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M%rco Tórico

Pro$id%d" d &o" +&uido"

,i"co"id%d

E4 7 #"#4,-,0* + !* ;7!,+# 74 +;#9-,#*4 * 5! -!*+# 7 ;7!,+# 4? * "#4# +#" !* ;#97 * 7 5! *# -* 74 ;!4 *


8/21

+ -#*4-,0* + 7 94& 4 *# 4 - *, 4 +4!> * 74 4--,#*4 A 1

> A'. P# 7# *#& 7 -!-,0* + -#*,*!,++ 4?$

D#*+$ ρ D*4,++ +7 ;7!,+#&


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hf = Pérdida de energía

F&ujo &%(in%r

S 779 ;7!2# 79,* # -#,* 79,*& 7 9#,9,*# + !* ;7!,+# -!*+# 44 #+*+#& 4,;,-+#& 4!. E* !* ;7!2# 79,* 7 ;7!,+# 4 9! *7?9,*4 "774 4,* *9-74 > -+ "=-!7 + ;7!,+# 4,-#, 4!& 779+ 7=* + -#,*. E* ;7!2#4 79,*4 7 9-*,49# +*4"# 77 4 :-7!4,9* 9#7-!7.

E7 ;7!2# 79,* 4 =",-# + ;7!,+#4 7#-,++4 24 # ,4-#4,++4 74&9,*4 ;7!,+#4 + ,4-#4,++ 2& 7#-,++ 7 # 7 7#-,++ 4 ,

N/(ro d R0no&d"

E7 *9# + R>*#7+4 7-,#* 7 +*4,++& ,4-#4,++& 7#-,++ > +,9*4,0*

=",- + !* ;7!2# * !* :"4,0* +,9*4,#*7& 5! ,*,* * *!9#4#4"#794 + +,*?9,- + ;7!,+#4. D,-# *9# # -#9,*-,0* +,9*4,#*7"- * 9!-#4 -4#4 7-,#*+# -#* 7 -# + 5! 7 ;7!2# "!+-#*4,+4 79,* (*9# + R>*#7+4 "5!#) # !!7*# (*9# +R>*#7+4


10/21

$ D,?9# + 7 != 4 + 7 -!7 -,-!7 7 ;7!,+# # 7#*

E* 7 ;7!2# 79,*& 74 ;!4 + ,4-#4,++ "+#9,** 4# 74 +9?4 ;!4&

74 -#9# 7 ,*-,. U* 29"7# + ;7!2# 79,* 4 7 #9# + ;*

:"44 -#9#$

D#*+ ; "+,+ + -


11/21

ρ +*4,++ +7 ;7!,+#&


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1%to" R"u&t%do" 0 An3&i"i".

C-=4,-4 +7 -,$

1. T 3@C

'. μ=1,13 x10

−4 kgfs

m2

3. S=¿ 8

E7 S ;! -7-!7+# 7 - 7 5!,7*-, * 7 ",09#.

T%b&% N4 5* Mdicion" n & t%n#u !o&u(6trico

LECTURA TIEMPO(s)

ALTURA (m) VOLUMEN(m3)

CAUDAL(m3/s)

1 1125* 10

−2 0,0262,32* 10

−4

2 1115* 10

−2 0,0262,34* 10

−4

3 1105* 10

−2 0,0262,36* 10

−4

PROMEDIO2,34* 10

−4

D,?9# + 7 != &1'9

D,?9# +7 *5! &819 (7 9+,+# 9*#4 7 4"4#)

10


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D,4*-, "#:,9+ * ",09#4 &619

C#*4,0* + 7! * -,$

P!*# $ &61 (9-!,#) 1& (-,)

P 7 "!*# 6$ & (9-!,#) 0,0904 x1,4005

0,0461 '&63(-,)

T%b&% N4 2* ,ri+ic%ción d F&ujo L%(in%r

1i3(trotubr-% 7(8

,&ocid%d (di% n&% tubr-% 7(9"8

,i"co"id%d Cin(3tic%

d& %cit 7 m2/

s 8

N4R0no&d"

&1' &81 1&13: 10−4 13&6'8

V7#-,++ M+,

V =Q promedio

áreadelatubería

Q promedio T#9+# + 7 7 1.

área de latubería=π d2/4

N9# + R>*#7+4

R=vxD

μ =

0,81 x 0,0192

1,13 x10−4 =137,628 '

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C#* 4#4 7#4 4 #!# 7 *9# + R>*#7+4& #9*+# * -!* 5!

" 7 9"! #9+ (T3C) 4 ,* !7+# !* 7# + ,4-#4,++

-,*9?,- +7 -,.

A+9?4 4 ;,9 5! 7 ;7!,+# 4 79,*& 7 +*#4 !* *9# 9*# '.

T%b&% N4 :* Mdición d Pr"ion"

PIEZÓMETRO

X(m)

h (m)(p/γ)

ΔX(m)

Δh (m)(Δp/γ)

Δh/ΔX(Δp/γ / ΔX)

1 0 4,5144

0,614 0.3281 0,5343

2 0,614

4,1863

0,611 0,3737 0,6116

3 1,225

3,8126

0,613 0,3403 0,5551

4 1,838

3,4723

0,610 0,3736 0,6124

2,448

3,0987

0,60 0,3524 0,5873

! 3,04 2,7463

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8

0,610 0,9493 1,556

" 3,658

1,797

0,610 0,188 0,3081

# 4,268

1,609

0,610 0,2085 0,3418

$ 4,878

1,4005

0,610 0,219 0,3590

1% 5,488

1,1815

C#* 7#4 +#4 !7+#4 *,#9*& 4 7, 7 4,

0 1 2 3 4 5 60

0.51

1.5

2

2.5

3

3.5

4

4.5

5

f(x) = - 0.66x + 4.58

Linea piezometi!a

"(m)

#(m)

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;r3+ico N4 5* L-n% d %&tur%" $i'o(6tric%"

Pndint Pr3ctic%*

T#99#4 +7 0,- *# 4#* 9!>--*#4.

T%b&% N4


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L 7-! * 7 "!*# 1 4 P❑

L4 +9?4 7-!4 !7+4 4 #!,#* 9+,* 74,

S 47- 7 7-,0* + 7!4 ",#9,-4 + 7 -!-,0* + B*#!77,&

4 +-,& 4 4 5!$

1/¿2g=0m

V ¿

V 2

2 g= H

2− H

1=0,1883m

V 3

2 g= H

3− H

1=0,2462m

V 4

2 g= H

4− H

1=0,1293m

V 5

2 g= H

5− H

1=0,028m

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18/21

A7 9!7,"7,-7 ' -4 7 7# + 7 "7,-7 7 = -!++ -+!*& 4 #!# 7 7#-,++ " -+ "!*#.

L 7#-,++ 9?:,9$ '&19/S (P!*# 3)

L 7#-,++ 9+,$ 1&'889/4 (P#9+,#)

-0.02 -0.01 -0.01 0 0.01 0.01 0.02

0

0.5

1

1.5

2

2.5

V&'*+,+&s

E-p&.*m&0,'&s

;r3+ico N4 2 Pr+i& )$ri(nt%& d !&ocid%d"

C3&cu&o d &%" !&ocid%d" tóric%"*

u1=u

5=0

P#5! 4#* 74 7#-,++4 0,-4 * 7#4 -#*#*#4

! =( R2−r2 )32 v

4 D2

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19/21

E7 +,# R0,0192

2=0,0096m 5! 4 "!+ "#:,9 &19.

T*9#4 !* +,# " -+ "!*# * 7 != 7 -!7 4 7 -+ 99.

E4 +-, " 7 "!*# 1 *9#4 199& "!*# ' *9#4 99& "!*# 3*9#4 99 (7 2) > 7 "!*# *9#4 99. P# 7# 5! 4 +9#4= 5!* 7 "!*# 1 > -#9# 7 +,# 4 ,

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0 0.5 1 1.5 2 2.5

-0.02

-0.01

-0.01

0

0.01

0.01

0.02

f(x) = - 0x$2 + 0x - 0

%eoi!a

&o'nomia' (%eoi!a)

expeimenta

;r3+ico N4 : Pr+i& tórico d !&ocid%d" !" Pr+i& )$ri(nt%&

E7 -!+7 0,-#$

> E1:' Q 1E18: E1

S ,*


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Conc&u"ion"

• E7 !4# +7 -, 4 -#9"*4,7 > 5! 4 "4* 74 "#",++4 +7 ,4-#4,++& > " -#*4

7#-,++4& "# 77# 7 !4# +7 -, > *# + ## ;7!,+#.

• S +9,*0 7 ";,7 + 7#-,++4 :",9*79*.

• E:,4,#* "+,+4 5! 4 "4*-,* 7# 7

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