The velocity components in spherical coordinates of the axisymmetric uniform flow of a viscous fluid past a sphere are За = 1⁄2U ( 2 + ²5 - ³ª) 3a) c Up = cos 3a -—-U (2-22-³3-27) 2r Ug = - seno where U is the velocity of the uniform flow and a is the radius of the sphere. Find the Stokes stream function for this flow. Is it a rotational or irrotational flow?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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5. The velocity components in spherical coordinates of the axisymmetric uniform flow
of a viscous fluid past a sphere are
3a
Up
- = —/U ( 2 + 2 − ³ª).
-U
T
Ug =
U
U2
- cos
3a
2r
sen
27-3
where U is the velocity of the uniform flow and a is the radius of the sphere. Find
the Stokes stream function for this flow. Is it a rotational or irrotational flow?
Transcribed Image Text:5. The velocity components in spherical coordinates of the axisymmetric uniform flow of a viscous fluid past a sphere are 3a Up - = —/U ( 2 + 2 − ³ª). -U T Ug = U U2 - cos 3a 2r sen 27-3 where U is the velocity of the uniform flow and a is the radius of the sphere. Find the Stokes stream function for this flow. Is it a rotational or irrotational flow?
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