Separation of variables solution for nonlinear radiative cooling
Abstract
A separation of variables solution has been obtained for transient radiative cooling of an absorbingscattering plane layer. The solution applies after an initial transient period required for adjustment of the temperature and scattering source function distributions. The layer emittance, equal to the instantaneous heat loss divided by the fourth power of the instantaneous mean temperature, becomes constant. This emittance is a function of only the optical thickness of the layer and the scattering albedo; its behavior as a function of these quantities is considerably different than for a layer at constant temperature.
 Publication:

International Journal of Heat and Mass Transfer
 Pub Date:
 May 1987
 Bibcode:
 1987IJHMT..30..959S
 Keywords:

 Computational Fluid Dynamics;
 Nonlinear Equations;
 Radiant Cooling;
 Radiative Heat Transfer;
 Thermal Absorption;
 Thermal Boundary Layer;
 Transient Response;
 Emittance;
 Optical Thickness;
 Spacecraft Radiators;
 Waste Heat;
 Fluid Mechanics and Heat Transfer