Unsteady Cavity Flows: Oscillatory Flat Box Flows

[+] Author and Article Information
V. O’Brien

Applied Physics Laboratory, The Johns Hopkins University, Silver Spring, Md.

J. Appl. Mech 42(3), 557-563 (Sep 01, 1975) (7 pages) doi:10.1115/1.3423641 History: Received September 01, 1974; Online July 12, 2010


The oscillatory cavity flows reported here are extensions of previously studied steady closed rectangular cavity flows (box flows). The periodic laminar incompressible flows are characterized by three numerical parameters, peak Reynolds number, a reduced frequency (or Stokes number) and the height-to-length ratio of the cavity. Depending on the height-to-length ratio, flow fields are obtained by finite-difference solutions or analytic solutions of the Navier-Stokes equation. The central portion of a flat cavity contains an oscillatory parallel flow. Experimental measurements corroborate the theory. Stokes number dependency and particularly differences from the corresponding steady flow (whose Stokes number is zero) are illustrated.

Copyright © 1975 by ASME
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