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1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B << W and B«L, edge and end effects are not important. The flow can be considered fully developed and the velocity will vary only in the x-direction. The pressure at the entrance is Po and at the exit P. Fluid in O is located Note the location of the coordinate system in which x midway between the two vertical surfaces. * 2B +- (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile vz. (b) Write the two boundary conditions that will be used to obtain a solution for the velocity profile. (c) Obtain a solution for the velocity profile Vz as a function of x in terms of Po, PL, P, g, µ, L and B. Fluid out

1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B << W and B«L, edge and end effects are not important. The flow can be considered fully developed and the velocity will vary only in the x-direction. The pressure at the entrance is Po and at the exit P. Fluid in O is located Note the location of the coordinate system in which x midway between the two vertical surfaces. * 2B +- (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile vz. (b) Write the two boundary conditions that will be used to obtain a solution for the velocity profile. (c) Obtain a solution for the velocity profile Vz as a function of x in terms of Po, PL, P, g, µ, L and B. Fluid out

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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1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B << W and B«L, edge and end effects are not important. The flow can be considered fully developed and the velocity will vary only in the x-direction. The pressure at the entrance is Po and at the exit P. Fluid in O is located Note the location of the coordinate system in which x midway between the two vertical surfaces. * 2B +- (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile vz. (b) Write the two boundary conditions that will be used to obtain a solution for the velocity profile. (c) Obtain a solution for the velocity profile Vz as a function of x in terms of Po, PL, P, g, µ, L and B. Fluid out
Transcribed Image Text:1. An incompressible Newtonian liquid is in steady laminar flow in a slit formed by two parallel vertical walls separated by a distance 2B. The walls have a length L and a width W. Since B << W and B«L, edge and end effects are not important. The flow can be considered fully developed and the velocity will vary only in the x-direction. The pressure at the entrance is Po and at the exit P. Fluid in O is located Note the location of the coordinate system in which x midway between the two vertical surfaces. * 2B +- (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile vz. (b) Write the two boundary conditions that will be used to obtain a solution for the velocity profile. (c) Obtain a solution for the velocity profile Vz as a function of x in terms of Po, PL, P, g, µ, L and B. Fluid out
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