Viscous Flow in an Annulus With a Sector Cavity

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

Applied Physics Laboratory, Johns Hopkins University, Laurel, Md. 20707

J. Fluids Eng 104(4), 500-504 (Dec 01, 1982) (5 pages) doi:10.1115/1.3241893 History: Received July 20, 1981; Online October 26, 2009


The two-dimensional interaction of a circular shear flow and a sector cavity flow is predicted by finite-difference solution of the governing biharmonic equation for steady Stokes planar flow. The location of the dividing streamline is a function of geometry, lying perhaps wholly within the cavity or bulging up into the circular annulus. Also pressure-driven axial flow through the annular configuration is predicted by numerical solution of the governing Poisson equation. The results can be combined with the planar solution to describe a steady three-dimensional flow field which will enhance laminar mixing.

Copyright © 1982 by ASME
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