Transient flow of a radiating gas between concentric spheres
Abstract
The transient flow of a radiating gas between concentric rotating spheres is discussed under the optically thin gas approximation. The temperatures of the spheres are large but the difference in the temperatures is assumed small, so that the Grashof number is correspondingly small. When time tprime is less than zero, the spheres are stationary and a steadystate nonrotating flow exists between the spheres as a result of the impressed temperature gradient. At tprime = 0, the spheres are rotated impulsively from rest and the subsequent flow pattern is studied by perturbation series expansion for small Grashof number. The flow characteristic is typified by an exponentially decaying component superimposed on a steady flow. The conclusion is that the flow is stable in the given circumstances. The temperature distribution shows a marked difference with that in the absence of radiation, and this is discussed.
 Publication:

IMA Journal of Applied Mathematics
 Pub Date:
 1986
 Bibcode:
 1986JApMa..37..173B
 Keywords:

 Concentric Spheres;
 Gas Flow;
 Optical Thickness;
 Radiative Heat Transfer;
 Unsteady Flow;
 Grashof Number;
 Laplace Transformation;
 Prandtl Number;
 Steady Flow;
 Temperature Gradients