Consider steady, incompressible, axisymmetric flow (r, z) and (ur, uz) for which the stream function is defined as ur = −(1/r)(∂?/∂z) and uz = (1/r)(∂?/∂r). Verify that ? so defined satisfies the continuity equation. What conditions or restrictions are required on ??
Consider steady, incompressible, axisymmetric flow (r, z) and (ur, uz) for which the stream function is defined as ur = −(1/r)(∂?/∂z) and uz = (1/r)(∂?/∂r). Verify that ? so defined satisfies the continuity equation. What conditions or restrictions are required on ??
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 21P
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Consider steady, incompressible, axisymmetric flow (r, z) and (ur, uz) for which the stream function is defined as ur = −(1/r)(∂?/∂z) and uz = (1/r)(∂?/∂r). Verify that ? so defined satisfies the continuity equation. What conditions or restrictions are required on ??
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