A film of oil exists between two horizontal plates spaced 3mm apart. The lower plate is fixed and the upper plate is pulled with a constant velocity. The velocity profile between the two plates is found to have a nonlinear profile that is defined as u = (9y – 0.6y 2 ) mm/s where y is in mm. Assuming the top plate has an area of 0.5 m2 and the viscosity of the oil is μ = 0.437 N·s/m2 , determine (a) the shear stress 1mm above the fixed plate, and (b) the force required to pull the upper plate

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A film of oil exists between two horizontal plates spaced 3mm apart. The lower plate is fixed and the
upper plate is pulled with a constant velocity. The velocity profile between the two plates is found to have a nonlinear profile that is defined as u = (9y – 0.6y
2
) mm/s where y is in mm. Assuming the top plate has an area of 0.5 m2
and the viscosity of the oil is μ = 0.437 N·s/m2
, determine (a) the shear stress 1mm above the fixed plate, and (b)
the force required to pull the upper plate

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