Radiation Heat Transfer of Arbitrary Three–Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces

Abstract

Analysis of radiation heat transfer using the Radiation Element Method by Ray Emission Model, REM2, is described. The REM2 is a generalized numerical method for calculating radiation heat transfer between absorbing, emitting and scattering media and specular surfaces with arbitrary three–dimensional configurations. The ray emission model for various radiation elements is expressed by polyhedrons and polygons. Arbitrary thermal conditions can be specified for each radiation element, and generalized radiation transfer can be achieved for both of surface and volume elements by introducing a new definition of view factors. The accuracy of the present method is verified using simple configurations. A cubic participating medium with a spherical cavity covered with specular and diffuse surfaces is analyzed as an example of an arbitrary configuration. The temperature distribution shows good accuracy with a small number (45) of rays emitted from each element compared with the Monte Carlo method.

Radiative Heat Transfer Analysis in a Turbulent Natural Convection Obtained from Direct Numerical Simulation

“…The radiation element method was originally developed by Maruyama and Aihara (17)(18) . The DOREM has been already well validated with the finite volume/ discrete ordinate method (19) , and the Monte Carlo method (12) .…”

Comparison of Radiation Element Method and Discrete Ordinates Interpolation Method Applied to Three-Dimensional Radiative Heat Transfer

“…The error originates from the correction scheme for the reciprocity. However, if the number of spatial elements is increased, numerical accuracy will be improved (5) . As we have described above, effect of the temperature gradient in the medium is relatively large Table 3 Relative discrepancy of the wall heat flux when the optically thickness is large.…”

“…Chai et al have solved three-dimensional problems using the FVM (finite volume method) (4) . Maruyama and Aihara proposed REM 2 (radiation element method by ray emission model), which is flexible to deal with arbitrary three-dimensional geometry (5), (6) . Cha and Song invent DOIM (discrete ordi-nates interpolation method), which can be applied to threedimensional, nonorthogonal, and/or unstructured grid systems (7) .…”

Industrial challenges for numerical simulation of crystal growth

“…Peculiarities of the radiation propagation can signi¯canly change the shape of the melt/crystal interface in semi-transparent oxides [65]. Thus ad-vanced models, such as characteristics method [50] or extension of Ray Tracing method [37] to multi-band radiative heat transfer [31], are needed.…”