RADIATIVE HEAT-TRANSFER IN ORTHOGONAL CURVILINEAR COORDINATES USING THE DISCRETE ORDINATES METHOD

A general expression for the pathlength derivative of radiation intens ity is given in spatial directional orthogonal curvilinear coordinates system. Former results in the most commonly used coordinates systems are retrieved. The Discrete Ordinates general formulation is also give n. The numerical methodology for solving the Radiative Transfer Equati on in a participating medium described in curvilinear coordinates (inf inite cylinder based on a convex curve) is detailed. The method is tes ted in the case of the radiative equilibrium of a gray medium confined between infinite black concentric cylinders based: (a) on circles for which some previous results are available, (b) on ellipses.