1. Radiative Transport Analysis for Plane Geometry with Isotropic Scattering and Arbitrary Temperature
- Author
-
J.A. Roux and A.M. Smith
- Subjects
Physics ,Work (thermodynamics) ,Scattering ,Rotational symmetry ,Aerospace Engineering ,Variation of parameters ,Computational physics ,Method of undetermined coefficients ,symbols.namesake ,Classical mechanics ,symbols ,Radiative transfer ,Gaussian quadrature ,Refractive index - Abstract
Particular solutions to the radiative transport equation are presented for an absorbing, emitting, and isotropic scattering medium with an arbitrary, but specified, temperature profile. The radiative transport is assumed to be one-dimensional and axisymmetric. Derivation of the particular solutions is based upon the method of variation of parameters. Homogeneous and particular solutions are derived from the discrete ordinate form of the radiative transport equation. The integration constants associated with the particular solution are expressed explicitly. This work yields a general solution which is expressed in closed form and is applicable to a wide range of problems involving radiative transport in absorbing, emitting, and scattering media. Also an illustrative example is presented for a medium having a linear temperature profile.
- Published
- 1974
- Full Text
- View/download PDF