b) Consider a steady, incompressible, parallel, laminar flow of a film of oil falling slowly down a flat vertical wall as depicted in Figure Q2(b). Oil film P = Patm Fixed wall h- Figure Q2(b) Given the pressure does not change for the surrounding air and oil film, i) state all assumptions you require to simplify the above to a one-dimensional flow problem. i) write the continuity equation and reduce the 3-dimensional Navier-Stokes equation problem. based on the above assumptions to a one-dimensional flow ili) find the vertical (z-direction) velocity profile using non-slip boundary condition at the wall and negligible shear at the free surface. 160
b) Consider a steady, incompressible, parallel, laminar flow of a film of oil falling slowly down a flat vertical wall as depicted in Figure Q2(b). Oil film P = Patm Fixed wall h- Figure Q2(b) Given the pressure does not change for the surrounding air and oil film, i) state all assumptions you require to simplify the above to a one-dimensional flow problem. i) write the continuity equation and reduce the 3-dimensional Navier-Stokes equation problem. based on the above assumptions to a one-dimensional flow ili) find the vertical (z-direction) velocity profile using non-slip boundary condition at the wall and negligible shear at the free surface. 160
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
Related questions
Question
![b)
Consider a steady, incompressible, parallel, laminar flow of a film of oil falling slowly
down a flat vertical wall as depicted in Figure Q2(b).
Oil film
P= Patm
Fixed
wall
Figure Q2(b)
Given the pressure does not change for the surrounding air and oil film,
i)
state all assumptions you require to simplify the above to a one-dimensional
flow problem.
ii)
write the continuity equation and reduce the 3-dimensional Navier-Stokes
equation
problem.
based on the above assumptions to a one-dimensional flow
ii)
find the vertical (z-direction) velocity profile using non-slip boundary condition
at the wall and negligible shear at the free surface.
160](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2eb19c8-4f6f-4827-a841-089fdeee2c4b%2F503819e1-8da7-47d8-a874-8065eb7c0cf4%2Fzv3j6ri_processed.png&w=3840&q=75)
Transcribed Image Text:b)
Consider a steady, incompressible, parallel, laminar flow of a film of oil falling slowly
down a flat vertical wall as depicted in Figure Q2(b).
Oil film
P= Patm
Fixed
wall
Figure Q2(b)
Given the pressure does not change for the surrounding air and oil film,
i)
state all assumptions you require to simplify the above to a one-dimensional
flow problem.
ii)
write the continuity equation and reduce the 3-dimensional Navier-Stokes
equation
problem.
based on the above assumptions to a one-dimensional flow
ii)
find the vertical (z-direction) velocity profile using non-slip boundary condition
at the wall and negligible shear at the free surface.
160
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