Answered: Average Velocity for Mass Balance in…

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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$2.6-3. Average Velocity for Mass Balance in Turbulent Flow. For turbulent flow in a smooth circular tube with a radius of R, the velocity profile varies according to the following expression at a Reynolds number of about 10: R - \/7 v = Vmax R where r is the radial distance from the center and vmax the maximum velocity at the center. Derive the equation relating the average velocity (bulk velocity) v,, to vmax for an incompressible fluid. (Hint: The integration can be simplified by substituting z for R -- r.) 49 Ans. Vav V max = 0.817vmax 60$

Transcribed Image Text:2.6-3. Average Velocity for Mass Balance in Turbulent Flow. For turbulent flow in a smooth circular tube with a radius of R, the velocity profile varies according to the following expression at a Reynolds number of about 10: R - \/7 v = Vmax R where r is the radial distance from the center and vmax the maximum velocity at the center. Derive the equation relating the average velocity (bulk velocity) v,, to vmax for an incompressible fluid. (Hint: The integration can be simplified by substituting z for R -- r.) 49 Ans. Vav V max = 0.817vmax 60

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