A flow develops between two parallel plates, each of area (A). The plates are separated by a gap (H) with the lower plate always fixed. The flow can be generated by imposing a constant positive pressure drop (AP/L) and/or moving the upper plate at a constant velocity UT. The general expression of the velocity in the x-direction is: Only part ΔΡ 2μ L In the above equation u is the fluid viscosity, and sgn=+1 if the upper plate is pulled in the positive x- direction while sgn=-1 if the upper plate is pulled in the negative x-direction. (1) Determine the expression of the drag force on the lower fixed plate in each of the following cases: Case1: Flow is driven by the moving upper plate and there is no pressure drop (AP/L =0). Case2: The flow is driven by the pressure drop but the upper plate is also fixed (U₁=0) Case3: Both the pressure drop and moving upper plate are responsible for the flow. u(y) = 1 (Hy-y²)+sgn UT y H

A flow develops between two parallel plates, each of area (A). The plates are separated by a gap (H) with the lower plate always fixed. The flow can be generated by imposing a constant positive pressure drop (AP/L) and/or moving the upper plate at a constant velocity UT. The general expression of the velocity in the x-direction is: Only part ΔΡ 2μ L In the above equation u is the fluid viscosity, and sgn=+1 if the upper plate is pulled in the positive x- direction while sgn=-1 if the upper plate is pulled in the negative x-direction. (1) Determine the expression of the drag force on the lower fixed plate in each of the following cases: Case1: Flow is driven by the moving upper plate and there is no pressure drop (AP/L =0). Case2: The flow is driven by the pressure drop but the upper plate is also fixed (U₁=0) Case3: Both the pressure drop and moving upper plate are responsible for the flow. u(y) = 1 (Hy-y²)+sgn UT y H

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.37P

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