(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?, z21,U =show that the velocity u(y, z) can be written as1 Əp a?b?2µ đx a2 + 62y?u(y, z) =a?

(b Given Data u(y,z)=0y2a2+z2b2=1 On neglecting gravity the consistent state navier stokes…

(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?

(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

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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Question

(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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