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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
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
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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