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Question

The velocity distribution for the flow over a flat plate is given by u=2yy2 in which u is the velocity in m/s at a distance y metres above the plate. Determine the shear stress at y=0.15 m. Take dynamic viscosity of the fluid as 8.5 poise.


A
1.455 N/m2
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B
1.545 N/m2
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C
1.445 N/m2
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D
1.554 N/m2
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Solution

The correct option is C 1.445 N/m2
Given that velocity at distance y metres,
u=2yy2
dudy=22y
At y=0.15 m,
dudy=2(2×0.15)=1.7 s1
Given, dynamic viscosity η=8.5 poise=0.85 Ns/m2
[10 poise=1 Ns/m2]

From Newton's law of viscosity,
τ=ηdudy=0.85×1.7=1.445
Shear stress (τ)=1.445 N/m2

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