Question

Consider fully developed, steady state incompressible laminar flow of a viscous fluid between two large parallel horizontal plates. The bottom plate is fixed and the top plate moves with a constant velocity of U = 4 m/s. Separation between the plates is 5 mm. There is no pressure gradient in the direction of flow. The density of fluid is 800 kg/m3, and the kinematic viscosity is 1.25 × 10-4 m2/s. The average shear stress in the fluid is ______ Pa (round off to the nearest integer).

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Answer :

Correct answer is : 80

y = 5 mm = 5 × 10-3 m, U = 4 m/sec, V = 1.25 × 10-4, ρ = 800,

ν = μ ρ

μ = ρ × ν = 800 × 1.25 × 10-4

Now,

τ = μ v y

τ = 800 × 1.25 × 10 4 × 4 5 × 10 3

∴ τ = 80 Pascal

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