Using geometricaloptics functions for calculating radiant heat transfer in hollow systems
Abstract
Results of a computational experiment are presented for a system of finite screens. By using geometricaloptics functions, a system of several hundred integral equations is reduced to a tridiagonal system of linear equations. This system is further reduced to a secondorder ordinary differential equation having a simple analytical solution. It is found that as the number of screens increases, heat losses in the system of finite screens approach a certain nonzero limit which is determined by geometricaloptics functions and by the relative distance between the screens.
 Publication:

Akademiia Nauk SSSR Sibirskoe Otdelenie Izvestiia Seriia Tekhnicheskie Nauki
 Pub Date:
 June 1985
 Bibcode:
 1985SiSSR........3R
 Keywords:

 Cavities;
 Functions (Mathematics);
 Geometrical Optics;
 Radiative Heat Transfer;
 Differential Equations;
 Integral Equations;
 Linear Equations;
 Screens;
 Fluid Mechanics and Heat Transfer