V If the velocity components of a steady incompressible flow is given by u = 3.xZ 75 where r² = x² + y² + z², determine whether the motion is possible. cos 3yz r5 r2 and w = 3z²_r² T-5 Also show that the velocity potential can be expressed as Without computing the vorticity vector, explain whether the motion is rotational or irrotational.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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V =
3yz
35
3.xZ
If the velocity components of a steady incompressible flow is given by u =
75
and w =
3z²_r²
r5
where r² = x² + y² + z², determine whether the motion is possible.
COS 8
Also show that the velocity potential can be expressed as Without computing the
vorticity vector, explain whether the motion is rotational or irrotational.
r2
Transcribed Image Text:V = 3yz 35 3.xZ If the velocity components of a steady incompressible flow is given by u = 75 and w = 3z²_r² r5 where r² = x² + y² + z², determine whether the motion is possible. COS 8 Also show that the velocity potential can be expressed as Without computing the vorticity vector, explain whether the motion is rotational or irrotational. r2
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