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GATE ME 2018 Set 1 — Question 53

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NAT+2 / -0MediumFluid PropertiesFluid Properties & StaticsFluid Mechanics

Fluid Mechanics → Fluid Properties & Statics → Fluid Properties

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Question

A solid block of 2.0 kg mass slides steadily at a velocity VV along a vertical wall as shown in the figure below. A thin oil film of thickness h=0.15h = 0.15 mm provides lubrication between the block and the wall. The surface area of the face of the block in contact with the oil film is 0.04 m2^2. The velocity distribution within the oil film gap is linear as shown in the figure. Take dynamic viscosity of oil as 7×10−37 \times 10^{-3} Pa-s and acceleration due to gravity as 10 m/s2^2. Neglect weight of the oil. The terminal velocity VV (in m/s) of the block is _________ (correct to one decimal place).
Diagram showing a block of mass m=2.0 kg sliding down a vertical wall with an oil film of thickness h=0.15mm and contact area A=0.04 m^2.
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