8.31 A continuous belt, passing upward through a chemical bath at speed Uo, picks up a liquid film of thickness h, density p, and viscosity u. Gravity tends to make the liquid drain down, but the movement of the belt keeps the liquid from running off completely. Assume that the flow is fully developed and laminar with zero pressure gradient, and that the atmosphere produces no shear stress at the outer surface of the film. State clearly the boundary conditions to be
8.31 A continuous belt, passing upward through a chemical bath at speed Uo, picks up a liquid film of thickness h, density p, and viscosity u. Gravity tends to make the liquid drain down, but the movement of the belt keeps the liquid from running off completely. Assume that the flow is fully developed and laminar with zero pressure gradient, and that the atmosphere produces no shear stress at the outer surface of the film. State clearly the boundary conditions to be
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Solve using Navier-Stokes Equation; not Shear Stress
![8.31 A continuous belt, passing upward through a chemical bath
at speed Uo, picks up a liquid film of thickness h, density p, and
viscosity u. Gravity tends to make the liquid drain down, but the
movement of the belt keeps the liquid from running off completely.
Assume that the flow is fully developed and laminar with zero pressure
gradient, and that the atmosphere produces no shear stress at the
outer surface of the film. State clearly the boundary conditions to be
satisfied by the velocity at y=0 and y=h. Obtain an expression
for the velocity profile.
Uo
y.
|dx
p = Patm
Toldy le
→ y
Bath
Belt
P8.31](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93923fec-4213-4ff2-85da-48e742722ba7%2F818798c2-7e41-4dd5-892a-b0fb0b1cd782%2F90vegyn_processed.png&w=3840&q=75)
Transcribed Image Text:8.31 A continuous belt, passing upward through a chemical bath
at speed Uo, picks up a liquid film of thickness h, density p, and
viscosity u. Gravity tends to make the liquid drain down, but the
movement of the belt keeps the liquid from running off completely.
Assume that the flow is fully developed and laminar with zero pressure
gradient, and that the atmosphere produces no shear stress at the
outer surface of the film. State clearly the boundary conditions to be
satisfied by the velocity at y=0 and y=h. Obtain an expression
for the velocity profile.
Uo
y.
|dx
p = Patm
Toldy le
→ y
Bath
Belt
P8.31
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