Evaluation of the radiative heat flux in absorbing, emitting and anisotropically scattering cylindrical media
Abstract
An exact solution is presented for radiative transfer in a gray, emitting, absorbing, and linearanisotropically scattering medium of onedimensional cylindrical geometry. The solution results in a firstorder integral equation in the radial coordinate system, thus reducing the cylindrical case to the planeparallel problem. Two approximate methods, differential approximation and a kernel approximation, are proposed which reduce the problem to a solution of a differential rather than an integral equation. The results presented demonstrate the accuracy and applicability of both approximate methods.
 Publication:

American Society of Mechanical Engineers and American Institute of Chemical Engineers, Joint National Heat Transfer Conference
 Pub Date:
 July 1980
 Bibcode:
 1980ceht.confS....A
 Keywords:

 Anisotropic Fluids;
 Cylinders;
 Gray Gas;
 Heat Flux;
 Radiative Heat Transfer;
 Approximation;
 Optical Thickness;
 Scattering Functions;
 Fluid Mechanics and Heat Transfer