a) Obtain the radial velocity profile in the circular tube. b) Find the average velocity
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
Problem 1.1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F952ee534-4083-4129-a580-15d280a4687d%2Fac8df6c5-3703-4844-9597-618afb44b3c3%2Ftphgxj8_processed.jpeg&w=3840&q=75)
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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