1011 An unsteady, irratational flow of constant density p is established between two parallel flat plates separated by a distance h(t) that varies with time t. As shown in figure below, the upper plate [y-h(t)) moves vertically up or dowa but remains parallel to the lower plate y-0. The stream fanction describing this flow is: 1/diy d[nh) a) derive expressions for the velocity components u and v. b)Prove that this stream function will satisfy the velocity conditions on the surfaces of the two plates. c) Derive an expression for the pressure difference [p(sy.-p(0,0,1)].
1011 An unsteady, irratational flow of constant density p is established between two parallel flat plates separated by a distance h(t) that varies with time t. As shown in figure below, the upper plate [y-h(t)) moves vertically up or dowa but remains parallel to the lower plate y-0. The stream fanction describing this flow is: 1/diy d[nh) a) derive expressions for the velocity components u and v. b)Prove that this stream function will satisfy the velocity conditions on the surfaces of the two plates. c) Derive an expression for the pressure difference [p(sy.-p(0,0,1)].
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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![10.1] An unsteady, irratational flow of constant density p is established between two
parallel flat plates separated by a distance h(t) that varies with time t. As shown in figure
below, the upper plate [y-h(t)] moves vertically up or dowa but remains parallel to the
lower plate y-0. The stream function describing this flow is:
1/dhy
ay=_d(Inb)
a) derive expressions for the velocity components a and v.
b)Prove that this stream function will satisfy the velocity conditions on the surfaces of the
two plates.
c) Derive an expression for the pressure difference [p(x,y.)-p(0,0,1)).
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb16a9dd8-a3de-437d-87e9-a5fec3e06003%2Ff75ac88c-606e-4652-a3ea-12f8d8e4656e%2F6f67k1d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10.1] An unsteady, irratational flow of constant density p is established between two
parallel flat plates separated by a distance h(t) that varies with time t. As shown in figure
below, the upper plate [y-h(t)] moves vertically up or dowa but remains parallel to the
lower plate y-0. The stream function describing this flow is:
1/dhy
ay=_d(Inb)
a) derive expressions for the velocity components a and v.
b)Prove that this stream function will satisfy the velocity conditions on the surfaces of the
two plates.
c) Derive an expression for the pressure difference [p(x,y.)-p(0,0,1)).
C
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