This paper outlines the formulation of the different methods for determining transient radiative transfer through scattering absorbing media. A boundary driven radiative problem is considered in a one-dimensional plane-parallel slab. The different methods of solving the transient radiative transfer equation include the P1, P3, and P5 approximations, two-flux method, and eight, twelve and sixteen discrete ordinates methods. In addition, the general transient radiative transfer equation is also solved by direct numerical integration without any simplifying assumptions. Different orders of approximation for the phase function are considered as is a parametric analysis of the different parameters such as the scattering albedo and optical depth is performed. The propagation speed obtained and the magnitude of the transmitted and back-scattered fluxes for different models obtained are a function of the approximation used to represent the intensity distribution.
|Original language||English (US)|
|Title of host publication||American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD|
|Number of pages||8|
|State||Published - 1996|
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Mechanical Engineering