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)
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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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