Rotating Compressible Flow Over the Edge of a Finite Disk

[+] Author and Article Information
M. Toren, A. Solan

Technion—Israel Institute of Technology, Haifa, Israel

J. Appl. Mech 48(2), 249-254 (Jun 01, 1981) (6 pages) doi:10.1115/1.3157605 History: Received May 01, 1980; Revised September 01, 1980; Online July 21, 2009


Numerical and asymptotic solutions of the similarity equations governing the laminar compressible rotating flow near the edge of a finite disk are presented for a wide range of the Prandtl and Eckert numbers and the disk-to-external flow ratios of azimuthal velocity and temperature. By appropriate transformations, the compressible flow is reduced to a formulation similar to that of the incompressible flow. Wall heating and dissipation effects are shown to be equivalent to an increment of the velocity of the disk in the sense opposite to that of the outer flow. In the limit of small velocity or temperature difference between the disk and the outer flow, the solutions show how an Ekman layer is started at the edge.

Copyright © 1981 by ASME
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