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QUESTION 3 A two-dimensional planar flow is generated between a fixed and moving vertical plates as shown in the accompanying figure. The left plate is fixed, and the right plate moves with velocity U. The distance between the plates is 8. The flow is steady and fully developed (i.e., there is no change in the x-direction). The fluid is an incompressible, Newtonian Fluid and the pressure is constant. a) Write the full form of the continuity equation and the relevant components of the Navier-Stokes equations for this system. Simplify the equations from part a) to yield the governing equation(s) of motion. b) c) Based on your result from part b), how many boundary conditions are needed to solve for the velocity field. List the two boundary conditions then use them to solve the equation from part b) for the relocity field L y 8 g U

QUESTION 3 A two-dimensional planar flow is generated between a fixed and moving vertical plates as shown in the accompanying figure. The left plate is fixed, and the right plate moves with velocity U. The distance between the plates is 8. The flow is steady and fully developed (i.e., there is no change in the x-direction). The fluid is an incompressible, Newtonian Fluid and the pressure is constant. a) Write the full form of the continuity equation and the relevant components of the Navier-Stokes equations for this system. Simplify the equations from part a) to yield the governing equation(s) of motion. b) c) Based on your result from part b), how many boundary conditions are needed to solve for the velocity field. List the two boundary conditions then use them to solve the equation from part b) for the relocity field L y 8 g U

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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QUESTION 3 A two-dimensional planar flow is generated between a fixed and moving vertical plates as shown in the accompanying figure. The left plate is fixed, and the right plate moves with velocity U. The distance between the plates is 8. The flow is steady and fully developed (i.e., there is no change in the x-direction). The fluid is an incompressible, Newtonian Fluid and the pressure is constant. a) Write the full form of the continuity equation and the relevant components of the Navier-Stokes equations for this system. Simplify the equations from part a) to yield the governing equation(s) of motion. b) c) Based on your result from part b), how many boundary conditions are needed to solve for the velocity field. List the two boundary conditions then use them to solve the equation from part b) for the velocity field. y 8 g U
Transcribed Image Text:QUESTION 3 A two-dimensional planar flow is generated between a fixed and moving vertical plates as shown in the accompanying figure. The left plate is fixed, and the right plate moves with velocity U. The distance between the plates is 8. The flow is steady and fully developed (i.e., there is no change in the x-direction). The fluid is an incompressible, Newtonian Fluid and the pressure is constant. a) Write the full form of the continuity equation and the relevant components of the Navier-Stokes equations for this system. Simplify the equations from part a) to yield the governing equation(s) of motion. b) c) Based on your result from part b), how many boundary conditions are needed to solve for the velocity field. List the two boundary conditions then use them to solve the equation from part b) for the velocity field. y 8 g U
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