Answered: An incompressible Newtonian liquid is…

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 Newtonian liquid is made to flow in the annular region between a cylindrical rod of radius KR (0 <k< 1) and a cylindrical cavity of radius R and length L in the horizontal plane. The rod moves axially with velocity V along the axis of the cylindrical cavity, and the pressure at both ends of the cavity is the same so that the fluid moves through the annular region due to the rod motion. (a) Write the simplified form of the Navier-Stokes equation that will be used to solve for the velocity profile within the liquid (see Appendix E for the Navier-Stokes equation in cylindrical coordinates). (b) Write the two boundary conditions that will be used to solve for the velocity profile. (c) Obtain a solution for the velocity profile vz as a function of r. (d) Obtain an equation for the volumetric and mass flow rate of liquid. (e) Determine the viscous force acting on the rod over the length L

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