3. An incompressible, isothermal Newtonian fluid is in fully-developed laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. It is understood that B <<
3. An incompressible, isothermal Newtonian fluid is in fully-developed laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. It is understood that B <<
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
Question
![3.
An incompressible, isothermal Newtonian fluid is in fully-developed laminar flow in
a narrow slit formed by two parallel walls a distance 2B apart. It is understood that B <<<W and
B <<L, so that "edge effects" are unimportant.
a) Make a shell momentum balance, and obtain the following expressions for the viscous
momentum-flux and velocity distributions. Note that P=p+pgh=p-pgz.
0
Txz(x)= (Po-PL) x
v₂(x)=
(Po-PL)B²
2μL
[[-(1)²]
b) What is ratio of the average velocity to the maximum velocity?
2B
Fluid in
747
Fluid out](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76a241b1-3148-428a-9d7b-4a1276447a9a%2Fe0056b46-ec70-4704-8125-773d34206774%2Fbf3muo9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
An incompressible, isothermal Newtonian fluid is in fully-developed laminar flow in
a narrow slit formed by two parallel walls a distance 2B apart. It is understood that B <<<W and
B <<L, so that "edge effects" are unimportant.
a) Make a shell momentum balance, and obtain the following expressions for the viscous
momentum-flux and velocity distributions. Note that P=p+pgh=p-pgz.
0
Txz(x)= (Po-PL) x
v₂(x)=
(Po-PL)B²
2μL
[[-(1)²]
b) What is ratio of the average velocity to the maximum velocity?
2B
Fluid in
747
Fluid out
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