"he laminar flow of a fluid with a constant viscosity, u, inside a channel is governed by the ollowing boundary value problem (strong form): d'u dp "dy dr for y E (0, h) u = 0 at y 0 and y = h here u is the fluid velocity and e is the pressure drop in the direction of the flow. a) Derive the weak form of the boundary value problem described above.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The laminar flow of a fluid with a constant viscosity, 4, inside a channel is governed by the
following boundary value problem (strong form):
d'u dp
for y E (0, h)
"dy dr
u = 0
at y = 0 and y = h
vhere u is the fluid velocity and is the pressure drop in the direction of the flow.
a) Derive the weak form of the boundary value problem described above.
Transcribed Image Text:The laminar flow of a fluid with a constant viscosity, 4, inside a channel is governed by the following boundary value problem (strong form): d'u dp for y E (0, h) "dy dr u = 0 at y = 0 and y = h vhere u is the fluid velocity and is the pressure drop in the direction of the flow. a) Derive the weak form of the boundary value problem described above.
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