Sistema Tuberias

8/19/2019 Sistema Tuberias

1/20

II Ecuaciones analíticas y empíricas.

i) Tubería lisa o rugosa

f = 64 / Re Ecuación de Hagen- Poiseuille. [18

Re = !"""

f = 0.032

ii) Para el caso de r#gi$en de %ransición & r#gi$en %urbulen%o'

Ecuación de (olebroo

*"+,.*+!

e "."""44

f = 0.037693

f asu$ = "."1 "."4,+ ".",6,* ".",+! ".",66

f calc = "."4,88,""4 ".",6,* ".",+! ".",66 ".","

iii) Tuberia lisa: e = 0: f = f Re

[!"

Re = !,*+8*6*

e = 0f = 0.00779

f asu$ = "."1 ".""""68 ".""1+166 ".""18+ ".""18+

f calc = ".""""6818 ".""1+166 ".""18+ ".""18+ ".""188!

i!) "lu#o completamente turbulento: $e

[!1

Re = 1.!"E0"6

".""",f = 0.0%%&

f asu$ = "."1 "."1*6+ "."1**4 "."1**4 "."1**4

f calc = "."1*68*""8* "."1**4 "."1**4 "."1**4 "."1**4

2T3 '

a ecuación de (olebroo) re5uiere de un rocedi$ien%o de solución de rueba & error7

no resul%a conenien%e ara un c9lculo au%o$a%i:ado del fac%or de friccion.

P.;. ain ?an desarrollado una ecuacion 5ue er$i%e el c9lculo direc%o

del alor del fac%or de fricción. Es%a ecuación roduce alores ara f 5ue se encuen%raen%re 17"@ del alor de los corresondien%es a la ecuación de (olebroo)7

den%ro del in%eralo de rugosidad rela%ia A /e co$rendido en%re 1""" & 1B1" 6C

Para el caso laminar:

ε = e / A

ε =

& ara nD$eros de Re&nolds 5ue an de de * B1" , ?as%a 1B 1" 8.

0,5 2,512 log

3,71Re f

f

ε − = − +

0→ ⇒

−=−

71,3log25,0

ε f

−=−

f f

Re

51,2log2

5,0

→


2/20

Es%a es ir%ual$en%e la :ona de %urbulencia co$le%a del diagra$a de ood&

Re = 1,4""

"."""81

f = 0.02009'3

(o$binando la ecuación de P.;.


3/20

!"#L$ 8.10

$e ( 2000 abier%o a la a%$ósfera7 ?acia un reserorio F 5ue se encuen

resión $ano$#%rica !*" )Pa7 siendo la %ubería de acero e

R 4" nuea ara la línea de succión & la línea de descarga

a línea de succión es de 4 $ de longi%ud7 !" ulgadas de di9$e%r

los siguien%es ele$en%os roscados' (eda:o de asiración7 un codo

dos uniones uniersales & una 9lula de co$uer%a.

$e 2000

a línea de descarga es de 14 ulgadas de di9$e%ro no$inal7 16*

) [1+ %iene los siguien%es accesorios' Gna 9lula de globo7 una 9lula

uniones uniersales7 diecis#is uniones si$les & %res codos radio l

To$ando co$o referencia el ee de la bo$ba7 se %iene 5ue la sue

del reserorio 3 se encuen%ra a -! $ & la suerficie libre del reser

a -! $ & la suerficie libre del reserorio F se encuen%ra a 1* $C

"."," er$anecen cons%an%es.

".",6+ (alcule la #rdida de carga en el sis%e$a


4/20

[!!

0.116608

1 (eda:o de asiración 0.06

1 (odo R 0.125

1 L9lula de co$uer%a 0.375

2 Gniones si$les 0.045

2 uniones uniersales 0.045

7

L9lula de re%ención

L9lula globo

%$%&L

T+T/-

"."!"8*,8

"."!"8*,8

7.1799615

3 (odo R 0.15

L9lula de co$uer%a

16 Gniones si$les 0.0453 uniones uniersales 0.045

1 L9lula de re%ención 2.6

1 L9lula globo 6.875

%$%&Lm T+T/-

P#rdida secundaria en la succin'∆ ?s =

4oeficientes e5perimentales λ ' λ

P#rdida secundaria en la escara:∆ ?s =

4oeficientes e5perimentales λ ' λ


5/20

8/T+

ra a una *,- &g*

s%irada %m*. Ds,,

no$inal & %iene Vs-s,, s-*radio largo7 *, (5000#")

Vs-s,, m

#s- s:;- $ de longi%ud7 &

e re%ención7 %res %*s &- s-rgo.

Dm-


6/20

L a pérdida de energía en0.11661m

0 " + 0

k:0.06

0.1250.375 25.51 17.00

0.09

0.09 &* , -m *, (5000 #")

Ptencia !idr"ulica

efciencia de la bomba

Ptencia mec"nica0.7# 0 0

" 0 0 efciencia del motor

Ptencia eléctrica

$%&'% () )*)+,- */

#- I -m*-m- ,-*-m- *

7.17996m %f , -s- , 0 " 0 0

L(: 1693.60.#5

0.72

0.135

2.6

6.475

10.74 0 00 0 0

L * , -m J ∆

L(Z

p pH 1

12B −+

γ

−=


7/20

% 15 ρ 999Mg/mN

µ 0.0011685 #.sE 0.3154 mN/sν 1.17O006 m 2/sγ 9800.19< /mN

,- s -s*&/$$* ()&$+,

D< 20 *g. 14 *g.40 40

D 0.4779 m 0.3333 m

0.0456 mm 0.0456 mm mm mm&f 0.1793758 m P 0.087249 m PL 4 m 165 m

#*- 1 #*- 2 0 # 250000 #Q O2 m 15 mV 0 m/s 0 m/s

g 9.81 m/sP 3.1415927

4;lculos

1.7583 m/s 3.6149 7.18+05 1.03+06

%**- %**- / D 9.54O005 0.0001368f 0.0138016 0.013906

0.013801803 0.0138016 0.013800.013801628 0.0138016 0.013800.013906122 0.013906 0.01391

0.01391 0.01391 0.01391

FGH< DF&&

hf 0.0182033 m 4.5851605 mhs 0.11661 m 7.17996 m

0.13481 m 11.76512 m∆ h


8/20

el sistema: 11.900 m

0.51 11.900 54.918 m

8 55 m 315 Ls

36.742k;

0.78

#7.157k;

0.98

#4.119k;

L: 41#95 < a=

, , , #4.119MR8h/,

365,/S-

g: 0.58 T /MR O h

T/MR O S-

∆ ! sistema

/ g + ∆ Q + ∆ V 2 / 2g + ∆ hssm

ηΒ =

ηm =

SISTEMAhg2

VVZ

21

22

2 ∆+−

+

∀γ = BB HP

B

B

P

Pη

=

m

m

elec

P P

η =


9/20


10/20


11/20

%GU& D FGH< %G& D DF&&' &/$$* ()&$+, &/$$*

>?$@ A A 8

10

1214151618202224

Efec%o de la !ariacin e la temperatura


12/20

%GU& D FGH< %G& D DF&&e &/$$* ()&$+, &/$$*

mm A A 0.01

0.020.040.06

0.08

0.1

0.150.2

0.25

0.3

Efec%o de la !ariacin e la ruosia absoluta


13/20

8E4/$/ ITE/

a

∆ ! m ∆ ! m


14/20

8E4/$/ ITE/

#rdida

∆ ! m ∆ ! m


15/20

A (EAG3 3RE3 MTER3 3f

Pulgadas R Pulgadas Pulgadas Pulgadas

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1.1/4 16" 1.66" ".!*" 1.16" 1."*68

1.1/4 16" NN 1.66" ".,8! ".8+6 ".6,"*

1.1/! 4" < 1.+"" ".14* 1.61" !.",*8

1.1/! 8" N 1.+"" ".!"" 1.*"" 1.61

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6 8" N 6.6!* ".4,! *.61 !6."66

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6 16" NN 6.6!* ".864 4.8+ 18.8,4,

8 !" 8.6!* ".!*" 8.1!* *1.8486

8 ," 8.6!* ".! 8."1 *1.161

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8 6" 8.6!* ".4"6 .81, 4.+4,"

8 8" N 8.6!* ".*"" .6!* 4*.66,*8 1"" 8.6!* ".*+4 .4, 4,.4,+6

8 1!" 8.6!* ".1+ .18 4".*681

8 14" 8.6!* ".81! .""1 ,8.4+**

8 14" NN 8.6!* ".84 ."* ,+.11,8

AM3ETR2ENTERM2R

E


16/20

8 16" 8.6!* ".+"6 6.81, ,6.4**8

1" !" 1".* ".!*" 1".!*" 8!.*1*+

1" ," 1".* ".," 1".1,6 8".6+"6

1" 4" < 1".* ".,6* 1"."!" 8.8*4,

1" 6" N 1".* ".*"" +.*" 4.661+

1" 8" 1".* ".*+4 +.*6! 1.81"4

1" 1"" 1".* ".1+ +.,1! 68.1"4*

1" 1!" 1".* ".844 +."6! 64.4+68

1" 14" NN 1".* 1.""" 8.*" 6".1,!"

1" 16" 1".* 1.1!* 8.*"" *6.4*"

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1! 4" 1!.* ".4"6 11.+,8 111.+,1

1! 4" N 1!.* ".*"" 11.*" 1"8.4,4"

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1! 8" 1!.* ".688 11.,4 1"1.6"*,

1! 1"" 1!.* ".844 11."6! +6.1"*

1! 1!" NN 1!.* 1.""" 1".*" +".6!6

1! 14" 1!.* 1.1!* 1".*"" 86.*+"1

1! 16" 1!.* 1.,1! 1".1!6 8".*,1*

14 2A 1" 14."" ".!*" 1,.*"" 14,.1,88

14 2A !" 14."" ".,1! 1,.,6 14".*!14

14 2A ," < 14."" ".,* 1,.!*" 1,.886*14 2A 4" 14."" ".4,8 1,.1!4 1,*.!6*

14 2A 4" N 14."" ".*"" 1,.""" 1,!.,!,

14 2A 6" 14."" ".*+4 1!.81! 1!8.+!1"

14 2A 8" 14."" ".*" 1!.*"" 1!!.18*

14 2A 1"" 14."" ".+,8 1!.1!4 11*.4468

14 2A 1!" 14."" 1."+4 11.81! 1"+.*814

14 2A 14" 14."" 1.!*" 11.*"" 1",.868+

14 2A 16" 14."" 1.4"6 11.188 +8.,"+,

162A 1" 16."" ".!*" 1*.*"" 188.6+1+

162A !" 16."" ".,1! 1*.,6 18*.684+

162A ," < 16."" ".,* 1*.!*" 18!.6*4!

162A 4" N 16."" ".*"" 1*.""" 16.146

162A 6" 16."" ".6*6 14.688 16+.4,+

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162A 14" 16."" 1.4,8 1,.1!4 1,*.!6*

162A 16" 16."" 1.*+4 1!.81! 1!8.+!1"

18 2A 1" 18."" ".!*" 1.*"" !4".*!8!

18 2A !" 18."" ".,1! 1.,6 !,.1,16

18 2A !" < 18."" ".,* 1.!*" !,,."*"

18 2A ," 18."" ".4,8 1.1!4 !,".,",4

18 2A ," N 18."" ".*"" 1.""" !!6.+8"1

18 2A 4" 18."" ".*6! 16.86 !!,.68"+

18 2A 6" 18."" ".*" 16.*"" !1,.8!46

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18 2A 16" 18."" 1.81 14.4,8 16,.!"8

!" 2A 1" !"."" ".!*" 1+.*"" !+8.64

!" 2A !" < !"."" ".,* 1+.!*" !+1.",+1

!" 2A ," N !"."" ".*"" 1+.""" !8,.*!8

!" 2A 4" !"."" ".*+4 18.81! !.+4*6

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!4 2A !" N !4."" ".*"" !,.""" 41*.4*6

!4 2A ," !4."" ".*6! !!.86 411.""8


17/20

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!4 2A 6" !4."" ".+6+ !!."6! ,8!.!8,

!4 2A 8" !4."" 1.!1+ !1.*6! ,6*.14!

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!4 2A 1!" !4."" 1.81! !".,6 ,!6."8!

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!4 2A 16" !4."" !.,44 1+.,1! !+!.+16+

," 2A 1" ,"."" ".,1! !+.,6 6.*8+

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," 2A !" N ,"."" ".*"" !+.""" 66".*1++

," 2A ," ,"."" ".6!* !8.*" 64+.18"


18/20

3RE3 MTER3 3f

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ε = /D AM3ETR2 MTERM2RAi

$! )


19/20

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20/20

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Sistema Tuberias

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Transcript of Sistema Tuberias