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Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. An incompressible fluid (kinematic viscosity, 7.4 × 10–7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates: the shear stress in Pascals on the surface of top plate is
    1. 0.651 × 10–3
    2. 0.651
    3. 6.51
    4. 0.651 ×103
Correct Option: B

Given:
υ = 7.4 × 10–7 m2 /s
ρ = 0.88 × 1000 = 880
v = 0.5 m/s

Shear stress,   τ = μ⋅
du
= (υ × ρ) ×
du
dydy

= 7.4 × 10–7 × 800 ×
0.5
= 0.6512.
(0.0005)



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