a) Obtain the radial velocity profile in the circular tube. b) Find the average velocity

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
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2. Consider a flow of liquid in a horizontal circular tube which is mobile. The flow in
the tube is assumed to be fully developed and pressures at two ends are Po and PL.
The cylindrical tube has radius of R and length of L. The tube itself is moving along
the z-direction with a velocity of Vz (R) = -α Trz (R), where a > 0.
a) Obtain the radial velocity profile in the circular tube.
b) Find the average velocity
Hint (Answer):
R
Z
Fluid flows in z- direction
L
Uz
=
ΔΡ
4μL
ΔΡ
2L
-
R21
2μ
ΔΡ
Uavg=8μL R²+
ΔΡ
2L
aR
-
R2V
2μ
Transcribed Image Text:2. Consider a flow of liquid in a horizontal circular tube which is mobile. The flow in the tube is assumed to be fully developed and pressures at two ends are Po and PL. The cylindrical tube has radius of R and length of L. The tube itself is moving along the z-direction with a velocity of Vz (R) = -α Trz (R), where a > 0. a) Obtain the radial velocity profile in the circular tube. b) Find the average velocity Hint (Answer): R Z Fluid flows in z- direction L Uz = ΔΡ 4μL ΔΡ 2L - R21 2μ ΔΡ Uavg=8μL R²+ ΔΡ 2L aR - R2V 2μ
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