Introduction to Chemical Engineering Thermodynamics
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: McGraw-Hill Education
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
expand button
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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