For this equation to be dimensionally correct, is u the kinematic viscosity or the dynamic viscosity of the liquid? Justify your answer using dimensional analysis. Then, comment on whether the above equation is suitable to use if the Reynolds number of the pipe flow is 2000? If not, then state briefly on how would you estimate the head loss due to friction?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...
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Consider that the head loss due to friction in the pipe is estimated using the following equation:
32µLv
hi
YD2
in which h, = head loss due to friction
L
Length of flow stream
pipe diameter
average velocity of flow
viscosity coefficient.
For this equation to be dimensionally correct, is µ the kinematic viscosity or the dynamic viscosity of
the liquid? Justify your answer using dimensional analysis. Then, comment on whether the above
equation is suitable to use if the Reynolds number of the pipe flow is 2000? If not, then state briefly
on how would you estimate the head loss due to friction?
Transcribed Image Text:Consider that the head loss due to friction in the pipe is estimated using the following equation: 32µLv hi YD2 in which h, = head loss due to friction L Length of flow stream pipe diameter average velocity of flow viscosity coefficient. For this equation to be dimensionally correct, is µ the kinematic viscosity or the dynamic viscosity of the liquid? Justify your answer using dimensional analysis. Then, comment on whether the above equation is suitable to use if the Reynolds number of the pipe flow is 2000? If not, then state briefly on how would you estimate the head loss due to friction?
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