(Viscous flow) A viscous fluid is contained between two infinite, horizontal parallel plates that are spaced 0.5 in. apart. The bottom plate is fixed, and the upper plate moves with a constant velocity, U. The fluid motion is caused by the movement of the upper plate, and there is no pressure gradient in the direction of flow. The flow is laminar. (a) If the velocity of the upper plate is 2.7 ft/s and the fluid has a viscosity of 0.026 lb-s/ft2 and a specific weight of 71 lb/ft³, what is the required horizontal force per square foot on the upper plate to maintain the 2.7 ft/s velocity? F = lb

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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(Viscous flow) A viscous fluid is contained between two infinite, horizontal parallel plates that are spaced 0.5 in. apart. The bottom
plate is fixed, and the upper plate moves with a constant velocity, U. The fluid motion is caused by the movement of the upper plate,
and there is no pressure gradient in the direction of flow. The flow is laminar.
(a) If the velocity of the upper plate is 2.7 ft/s and the fluid has a viscosity of 0.026 lb-s/ft2 and a specific weight of 71 lb/ft3, what is the
required horizontal force per square foot on the upper plate to maintain the 2.7 ft/s velocity?
F= i
lb
(b) What is the pressure differential in the fluid between the top and bottom plates?
p= i
lb/ft²
Transcribed Image Text:(Viscous flow) A viscous fluid is contained between two infinite, horizontal parallel plates that are spaced 0.5 in. apart. The bottom plate is fixed, and the upper plate moves with a constant velocity, U. The fluid motion is caused by the movement of the upper plate, and there is no pressure gradient in the direction of flow. The flow is laminar. (a) If the velocity of the upper plate is 2.7 ft/s and the fluid has a viscosity of 0.026 lb-s/ft2 and a specific weight of 71 lb/ft3, what is the required horizontal force per square foot on the upper plate to maintain the 2.7 ft/s velocity? F= i lb (b) What is the pressure differential in the fluid between the top and bottom plates? p= i lb/ft²
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