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Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. A cubic block of side L and mass M is dragged over an oil film across table by a string connects to a hanging block of mass m as shown in figure. The Newtonian oil film of thickness h has dynamic viscosity μ and the flow condition is laminar. The acceleration due to gravity is g. The steady state velocity V of block is

    1. Mgh
      μL²

    2. Mgh
      μ

    3. mgh
      μL²

    4. mgh
      μ
Correct Option: C

τ = μ
du
dy

du = V – O – V
dy = h
τ = u
V
...(1)
h

Also , τ =
F
A

where F = mg , A = L2
∴ τ =
mg
......(2)
L2

By (1) (2), we get
V =
mgh
uL2



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