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: 1/7 R v = "max R where r is the radial distance from the center and vma 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. v,, = 60 = 0.817vmax max
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: 1/7 R v = "max R where r is the radial distance from the center and vma 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. v,, = 60 = 0.817vmax max
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: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 -
v = vmax
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
va = 0.817va
60
Ans. v,, =
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