Similarity Solutions for the Interaction of a Potential Vortex With Free Stream Sink Flow and a Stationary Surface

[+] Author and Article Information
J. A. Hoffmann

Aeronautical Engineering Department, California Polytechnic State University, San Luis Obispo, Calif.

J. Fluids Eng 96(1), 49-54 (Mar 01, 1974) (6 pages) doi:10.1115/1.3447096 History: Received June 12, 1973; Online October 12, 2010


Similarity equations, using an assumed transformation which reduces the partial differential equations to sets of ordinary differential equations, are obtained from the boundary layer and the complete Navier-Stokes equations for the interaction of vortex flows with free stream sink flows and a stationary surface. Solutions to the boundary layer equations for the case of the potential vortex that satisfy the prescribed boundary conditions are shown to be nonexistent using the assumed transformation. Direct numerical integration is used to obtain solutions to the complete Navier-Stokes equations under a potential vortex with equal values of tangential and radial free stream velocities. Solutions are found for Reynolds numbers up to 2.0.

Copyright © 1974 by ASME
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