Analytical solution for boundary heat fluxes from a radiating rectangular medium
Abstract
Reference is made to the work of Shah (1979) which demonstrated the possibility of partially integrating the radiative equations analytically to obtain an 'exact' solution. Shah's solution was given as a double integration of the modified Bessel function of order zero. Here, it is shown that the 'exact' solution for a rectangular region radiating to cold black walls can be conveniently derived, and expressed in simple form, by using an integral function, Sn, analogous to the exponential integral function appearing in planelayer solutions.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 February 1991
 Bibcode:
 1991ATJHT.113..258S
 Keywords:

 Boundary Layer Equations;
 Heat Flux;
 Heat Transmission;
 Radiative Heat Transfer;
 Bessel Functions;
 Numerical Integration;
 Optical Thickness;
 Fluid Mechanics and Heat Transfer