Problem 4: 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 non- linear profile that is defined as u = and the viscosity of the oil isu= 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. (9y-0.6y²) mm/s where y is in mm. Assuming the top plate has an area of 0.5 m2 F 3 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
Problem 4: 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 non-
linear profile that is defined as u = (9y - 0.6y?) mm/s where y is in mm. Assuming the top plate has an area of 0.5 m?
and the viscosity of the oil is u= 0.437 N.s/m?, determine (a) the shear stress 1mm above the fixed plate, and (b)
the force required to pull the upper plate.
2.
F
3 mm
Transcribed Image Text:Problem 4: 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 non- linear profile that is defined as u = (9y - 0.6y?) mm/s where y is in mm. Assuming the top plate has an area of 0.5 m? and the viscosity of the oil is u= 0.437 N.s/m?, determine (a) the shear stress 1mm above the fixed plate, and (b) the force required to pull the upper plate. 2. F 3 mm
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