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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(3):321-336; doi:10.1093/qjmam/33.3.321
© 1980 by Oxford University Press
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VISCOUS COMPRESSIBLE HEAT CONDUCTING SPIRALLING FLOW

P. G. BELLAMY-KNIGHTS

( Department of the Mechanics of Fluids, University of Manchester )

This paper considers the steady motion of an ideal gas of infinite radial extent surrounding a rotating porous circular cylinder. Whereas Mack (1) studied the case of an impervious cylinder, the present work explores the extension to vortices with non-zero radial velocity. The main parameters of the problem are a radially-based Reynolds number and the ratio of circumferential velocity to radial velocity at infinity. The effects of compressibility, viscosity and heat transfer are included.

A simple viscous irrotational solution is found and for the general rotational solution it is found that the main effect of introducing a small radial velocity to a swirling gas flow is to permit a radical modification of the density profile.


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