On the thermal stability of a radiating gas under general differential approximation
Abstract
The thermal stability of a radiating gas in a semiinfinite space is studied under a general differential approximation. The fluid is bounded on the axis z'=0 by a horizontal infinite wall maintained at a temperature T sub 0 which is high enough for radiative heat transfer to be significant. At z'=infinity, the fluid is at uniform temperature T sub infinity such that T sub 0 greater than T sub infinity. The equations of motion under small perturbation theory reduce to a set of linear homogeneous equations with a variable coefficient subject to homogeneous boundary conditions when the unperturbed temperature is adopted as the independent variable. The solution is effected via a finite difference scheme and the Rayleigh number is determined by Newton's iterative method.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1988
 Bibcode:
 1988STIN...8913744B
 Keywords:

 Approximation;
 Gas Flow;
 Perturbation Theory;
 Radiative Heat Transfer;
 Thermal Stability;
 Equations Of Motion;
 Finite Difference Theory;
 Newton Methods;
 Rayleigh Number;
 Fluid Mechanics and Heat Transfer