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Problem5 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 Ur. The general expression of the velocity in the x-direction is: u(y) = 1 ΔΡ -(Hy - y²) + sgn U₁ y H 2μ L In the above equation u is the fluid viscosity, and sgn=+1 if the upper plate is pulled in the posit 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 case Case 1: Flow is driven by the moving upper plate and there is no pressure drop (AP/L =0). Case 2: 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.

Problem5 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 Ur. The general expression of the velocity in the x-direction is: u(y) = 1 ΔΡ -(Hy - y²) + sgn U₁ y H 2μ L In the above equation u is the fluid viscosity, and sgn=+1 if the upper plate is pulled in the posit 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 case Case 1: Flow is driven by the moving upper plate and there is no pressure drop (AP/L =0). Case 2: 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.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Pb 5 :- answer given in photos 

Problem5 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 U₁. The general expression of the velocity in the x-direction is: u(y) = 1 ΔΡ -(Hy - y²) + sgn U₁ y H 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.
Transcribed Image Text:Problem5 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 U₁. The general expression of the velocity in the x-direction is: u(y) = 1 ΔΡ -(Hy - y²) + sgn U₁ y H 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.
Pb5: (1) (a) u H HAAP 2L (b) (c) HAAP 2L + sgn HAUT H
Transcribed Image Text:Pb5: (1) (a) u H HAAP 2L (b) (c) HAAP 2L + sgn HAUT H
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