Viscous compressible heat conducting spiralling flow
Abstract
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 nonzero radial velocity. The main parameters of the problem are a radiallybased 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.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 August 1980
 Bibcode:
 1980QJMAM..33..321B
 Keywords:

 Compressible Flow;
 Conductive Heat Transfer;
 Gas Flow;
 Rotating Cylinders;
 Rotating Fluids;
 Viscous Flow;
 Circular Cylinders;
 Computational Fluid Dynamics;
 Ideal Gas;
 Radial Velocity;
 Reynolds Number;
 Spirals;
 Steady Flow;
 Swirling;
 Vortices;
 Fluid Mechanics and Heat Transfer