A flat plate is sliding at a constant velocity of 5 m/s on a large horizontal ta

Question

A flat plate is sliding at a constant velocity of 5 m/s on a large horizontal table. A thin layer of oil (of absolute viscosity = 0.40 N-s/m2) separates the plate from the table. To limit the shear stress in the oil layer to 1 kPa, what must the thickness of the oil film be (mm)?

A flat plate is sliding at a constant velocity of 5 m/s on a large horizontal table. A thin layer of oil (of absolute viscosity = 0.40 N-s/m2) separates the plate from the table. To limit the shear stress in the oil layer to 1 kPa, what must the thickness of the oil film be (mm)?

Explanation / Answer

shear stress tou=mu*du/dy dy=mu*du/tou = 0.40*(5-0)/1000    (from no slip condition, the layer in touch with th table will have 0 velocity hence change in              velocity    du=(5-0) = 2*10^3 m = 2mm

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