Transient radiative cooling of a solid or liquid sphere in space, surrounded by a radiatively participating vapor cloud, is considered. A quasi-steady assumption is applied to the radiation transfer in the medium, with the unsteadiness being retained at the inner spherical boundary. The problem is solved by applying the third-order (P3) spherical harmonics approximation to the radiative transfer equation for the participating cloud, and a finite difference scheme for transient conduction in the sphere. In general, the presence of a participating medium decreases the cooling rate of the sphere, and cooling curves are presented to show this effect. Effective emissivity of the surface in the presence of a surrounding medium is evaluated, and an approximate explicit equation is given.
Transient Radiative Heat Transfer From a Sphere Surrounded by a Participating Medium
Bayazitoglu, Y., and Suryanarayana, P. V. R. (August 1, 1989). "Transient Radiative Heat Transfer From a Sphere Surrounded by a Participating Medium." ASME. J. Heat Transfer. August 1989; 111(3): 713–718. https://doi.org/10.1115/1.3250741
Download citation file: