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UPSC Civil Service Exam Questions

Q1: The velocity distribution for flow over a plate is given by u = 0.5 y - y2 where u is the velocity in m/s at a distance y metre above the plate. If the dynamic viscosity of the fluid is 0.9 N/m2, then what is the shear stress at 0.20 m from the boundary?

A 0.9 N/m2

B 1.8 N/m2

C 2.25 N/m2

D 0.09 N/m2

ANS:D - 0.09 N/m2

Given:

u = 0.5y - y^2.
du/dy = 0.5-2y.
Shear stress = dynamic viscosity x du/dy.
= 0.9 x (0.5-2y),
= 0.9 x (0.5-2x0.20),
= 0.9 x (0.5-0.4),
= 0.9 x (0.1),
= 0.09 N/m^2.0



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