Pipe Flow Friction Factor Calculations
November 15, 2016 | Author: chiefdruid | Category: N/A
Short Description
Excel Sheet for Pipe Friction Coefficient Calculation...
Description
Workbook Contents Click on tabs at the bottom of the screen to access the following: Tab . Contents (current tab) Tab !. Head oss!"rictional #ressure $rop Tab . #ipe "low %ate Tab #. %e&uired $iameter
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Copyright © 2011 Harlan H. Bengtson. All Rights Reserved.
#ipe "low!"riction "actor Calculations +: (/.0. units) Calculation of Head oss, h , and "rictional #ressure $rop, ∆#f , for given flow rate, 1, pipe diam., $, pipe length, , pipe roughness, ε, and fluid properties, ρ < µ. $nstructions: Enter values in blue boxes. Spreadsheet calculates values in yellow bo . %etermine &riction &actor, f, assuming completely turbulent flow ' f ( ).# * ! log +%$nputs (enter values in the blue boes)
Calculations (done by spreadsheet
#ipe $iameter, %in =
2
in
#ipe $iameter, % =
3.4333
#ipe %oughness, =
3.3334
ft
"riction "actor, f =
3.35627
533
ft
Cross-0ect. >rea, 1 =
3.5628
#ipe "low %ate, 2 =
3.233
cfs
"luid $ensity,
=
5.69
slugs!ft8
"luid ?iscosity,
=
3.33337;8
lb-sec!ft7
#ipe ength, 0 =
!
>ve. ?elocity, 3 =
%eynolds number, 4e =
8.5
53,4;4
!. Check on whether the given flow is "completely turbulent flow" (Calculate f with the transition region e&uation and see if differs from the one calculated above.)
f ( '!5log+) -%6-.76*!.8-4e5f -!669/!
*ransition %egion "riction "actor, f:
f =
3.3775
%epeat calc of f using new value of f:
f =
3.3773
f =
%epeat again if necessary:
3.3773
. Calculate h0 and :f , using the final value for f calculated in step ! ;n initial assumed value of $ will be used.) $nstructions: Enter values in blue boxes. Spreadsheet calculates values in yellow boxes . %etermine &riction &actor, f, assuming completely turbulent flow ' f ( ).# * ! log +%$nputs
/
Calculations
>llowable Head oss, h0 =
73
ft
>ssumed #ipe $iam, %in =
3.3334
ft
533
ft
#ipe "low %ate, 2 =
3.233
cfs
"luid $ensity,
5.69
slugs!ft8
#ipe %oughness, =
#ipe ength, 0 =
"luid ?iscosity,
!
=
=
9
in
#ipe $iameter, % =
3.8888
ft
"riction "actor, f =
3.375;3
Cross-0ect. >rea, 1 =
3.3;8
ft7
2.6
ft!sec
>ve. ?elocity, 3 =
%eynolds number, 4e =
3.33337; lb-sec!ft7
529,2;7
!. Check on whether the given flow is "completely turbulent flow" (Calculate f with the transition region e&uation and see if differs from the one calculated above.)
) f ( '!5log+) -%6-.76*!.8-4e5f -!669/! 9 *ransistion %egion "riction "actor, f:
f=
3.3783
%epeat calc of f using new value of f:
f=
3.3783
f=
%epeat again if necessary:
3.3783
. Calculate pipe diameter, % using the final value for f calculated in step ! ) % ( f0-h063! -!g6 9 #ipe $iameter, % =
3.394
ft
=
5.3
in
AB*: *his iterative procedure doesnDt converge smoothly to a solution. +f the calculated pipe diameter in this step is larger than the assumed pipe diameter above, then replace the assumed pipe diameter value with the net larger standard pipe siEe. %epeat until you find the smallest standard pipe diameter that gives a smaller calculated re&uired pipe diameter. *hat is your solution.
'ith the eample values given here, an assumed pipe diameter of 8 inches gives a calculated pipe diameter re&uirement of 8.9 inches, increasing the assumed pipe diameter to the net standard pipe siEe ( 8.4 inches ) gives a calculated pipe diameter re&uirement of 5. inches, so a 8.4 inch siEe is the minimum standard pipe diameter that will do the Fob.
0tandard nominal /.0. pipe siEes in inches: 5!, 5!9, 8!, 5!7, 8!9, 5, 5 5!9, 5 5!7, 7, 7 5!7, 8, 8 5!7, 9, 4, 2, , 53, 57, 59, 52, 5, 73, 79, 83, 97, 9, 49, 23
Copyright © 2010 Harlan H. Bengtson. All Rights Reserved.
@oody "riction "actor &uations
#ipe %oughness ?alues
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