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
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
Related questions
Question
Pb 5 :- answer given in photos

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.

Transcribed Image Text:Pb5: (1) (a) u
H
HAAP
2L
(b) (c)
HAAP
2L
+ sgn
HAUT
H
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps

Recommended textbooks for you

Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education

Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY

Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall

Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education

Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY

Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall


Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning

Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The