Show that the incompressible continuity equation for axisymmetric flow in spherical polar coordinates is identically satisfied by

Question:

Show that the incompressible continuity equation for axisymmetric flow in spherical polar coordinates

is identically satisfied by a stream function defined as

so long as ψ is a smooth function of r and θ.

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Fluid Mechanics Fundamentals And Applications

ISBN: 9780073380322

3rd Edition

Authors: Yunus Cengel, John Cimbala

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Question Posted: Sep 17, 2023 12:44 AM

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Show that the incompressible continuity equation for axisymmetric flow in spherical polar coordinates is identically satisfied by

Question:

1 ə rar (r²u,) + 10 sin Ꮎ ᎧᎾ (u, sin 0) = 0,

Step by Step Answer:

1 sin 0 80 18 10 0 Now notice that the second term is exactly spherical polar coordinates Also ...View the full answer

Fluid Mechanics Fundamentals And Applications

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