Answered: An incompressible fluid is confined…

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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Transcribed Image Text:An incompressible fluid is confined between two infinite, parallel horizontal plates separated by a distance d. The lower plate is stationary, but a horizontal force is applied to the upper plate which causes it to move to the right at speed U. There is no pressure drop in the flow direction and steady-state is achieved. Using a Cartesian coordinate system where x is the horizontal coordinate, and y is the vertical coordinate, the velocity profile is expected to be given by y =v,e, + 0e, + Oe, where Vx = Vx(y). a) Given this velocity profile, which component of t is most relevant to this scenario? b) Write out, simplify, and solve the x-component of the Cauchy equation for this flow. c) Given that the constitutive model for the fluid is y =-n is a constant, solve for the velocity profile in the fluid. d) Compute the rate of strain tensor and vorticity vector for this flow. where

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