Viscous compressible heat conducting spiralling flow

This paper considers the steady motion of an ideal gas of infinite radial extent surrounding a rotating porous circular cylinder. Whereas Mack 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.