Finite volume radiative heat transfer procedure for irregular geometries

Abstract

A finite volume method for irregular geometries is presented in this article. The capability of the procedure is tested using five test problems. In these tests, transparent, absorbing, emitting, and anisotropically scattering media are examined. The solutions indicate that the finite volume method is a viable solution procedure for radiative heat transfer processes.

Estimation of emissivities in a two-dimensional irregular geometry by inverse radiation analysis using hybrid genetic algorithm

“…A more detailed derivation of the transformation relations from the Cartesian coordinate to a general coordinate or other geometric relations can be easily found in the literature [20,21] so that it is recommended to refer to them for details.…”

Backward Method of Characteristics in Radiative Heat Transfer

“…An underrelaxation parameter of 0.2 was used in cases when radiation was the dominant mode of heat transfer. It should be noted here that the same grid used for solving the RTE is made use of in solving Equation (6). A spatial discretization of 30 along the z−direction and an angular discretization of 24 × 1 directions per octant was used.…”

“…The procedure involves discretizing the angular domain into a finite number of control angles over which radiant energy is conserved. Chai et al [6] also used a similar approach to solve the RTE in irregular geometries. Murthy and Mathur [7] extended the method to unstructured meshes to compute radiative heat transfer in absorbing, emitting and scattering media.…”

The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry

“…Therefore, several methods have been developed to solve the radiative transfer equation in the irregular geometry. Among others, there is the ®nite-volume method (FVM) for radiation [1,2] which has been successfully applied to several problems of body-®tted geometries [3,4]. In the meanwhile, the discrete ordinates method (DOM) was also extended to handle a body-®tted geometry, and its computational accuracy has been discussed [5].…”

“…Since the spatial domain is divided into a ®nite number of control volumes in the DOM and FVM, these methods have a computational compatibility with other controlvolume based CFD approaches. While the DOM needs a quadrature set associated with directions and weights, the FVM has a¯exibility in a selection of control angles preserving the conservation of radiant energy [2].…”