RESEARCH PAPERS: Papers From Symposium on Three-Dimensional Flow in Turbomachines

Laminar Compressible Flow Between Rotating Disks

[+] Author and Article Information
P. W. Garrison

ORNL, Oak Ridge, Tenn.

D. W. Harvey

McDonnell Douglas Astronautics Co., Huntington Beach, Calif.

I. Catton

Energy and Kinetics Department, University of California, Los Angeles, Calif.

J. Fluids Eng 98(3), 382-388 (Sep 01, 1976) (7 pages) doi:10.1115/1.3448330 History: Received January 05, 1976; Online October 12, 2010


An integral method is used to obtain a solution for laminar flow of a compressible Newtonian fluid between rotating disks. The solution method is based on a Galerkin approach to the solution of the Navier-Stokes (radial, tangential, and axial momentum) equations, continuity, and on approximation of the energy equations. Four parameters are necessary to specify the flow: tangential inlet velocity, Reynolds number, a flowrate parameter, and Mach number of the disk tip. The solution is developed for turbine flow with uniform admission of the fluid at the outer boundary. The method can easily be extended to consider pump flow. Velocity profiles as well as turbine efficiencies are presented. Good agreement with published results for the incompressible regime is demonstrated. Short computational time and acceptable accuracy were obtained with a small number of terms in the velocity expansions.

Copyright © 1976 by ASME
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