Students conducted an experiment to evaluate the velocity profile,u(y), of a fluid flowing over a flat plate (Figure-3). Different students have reported different variations of velocity with vertical distance y from the plate as below.  u(y)=y^2−2aby   Obtain a relation of shear stress and wall shear stress in terms of a and b using the appropriate velocity profile. Calculate the shear stress at location y = 0.005 m, if the viscosity of the fluid is 60 Pa-s.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Students conducted an experiment to evaluate the velocity profile,u(y), of a fluid flowing over a flat plate (Figure-3). Different students have reported different variations of velocity with vertical distance y from the plate as below. 

u(y)=y^2−2aby
 
Obtain a relation of shear stress and wall shear stress in terms of a and b using the appropriate velocity profile. Calculate the shear stress at location y = 0.005 m, if the viscosity of the fluid is 60 Pa-s.  
Figure 3 (Not to scale)
u(y)
y (m)
Transcribed Image Text:Figure 3 (Not to scale) u(y) y (m)
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