(b) Consider fully developed flow of an incompressible Newtonian liquid in an in- finitely long tube of elliptic cross section, under constant pressure gradient P. If gravity is neglected, and the boundary condition applies: y?, z2 1, U = 0 on a2 |3D 62 show that the velocity u(y, z) can be written as 1 ap a?6? 2µ Əx a2 + 62 y? z2 (1--) u(y, z) = %3D - | a?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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(b) Consider fully developed flow of an incompressible Newtonian liquid in an in-
finitely long tube of elliptic cross section, under constant pressure gradient .
If gravity is neglected, and the boundary condition applies:
Uo 0:
a?
y?, z2
1,
U =
show that the velocity u(y, z) can be written as
1 Əp a?b?
2µ đx a2 + 62
y?
u(y, z) =
a?
Transcribed Image Text:(b) Consider fully developed flow of an incompressible Newtonian liquid in an in- finitely long tube of elliptic cross section, under constant pressure gradient . If gravity is neglected, and the boundary condition applies: Uo 0: a? y?, z2 1, U = show that the velocity u(y, z) can be written as 1 Əp a?b? 2µ đx a2 + 62 y? u(y, z) = a?
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