ARTICLE:

• RADIATIVE HEAT TRANSFER OF ARBITRARY 3-D PARTICI-PATING MEDIA AND SURFACES WITH NON-PARTICIPATING MEDIA BY A GENERALIZED NUMERICAL METHOD REM²  download article

Shigenao Maruyama
CIRPS—Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Sendai 980-77, Japan

Toshio Aihara
Institute of Fluid Science, Tohoku University, Sendai, Japan

ABSTRACT

Radiative heat transfer of absorbing, emitting and scattering media and diffuse and specular surfaces containing non-participating media is analyzed by a generalized numerical method: Radiation Element Method by Ray Emission Model, REM². Arbitrary thermal conditions can be specified for each radiation element. A generalized radiative heat transfer analysis can be achieved without recognizing the participating media and surface elements by introducing the ray emission model and extinction view factors. In order to minimize the memory size and to improve the calculation efficiency, non-participating media such as transparent spaces and perfect mirror surfaces are considered for ray tracing but not considered in view factors or radiation transfer. The present method is verified by comparing the numerical results of a two-dimensional participating square and a three-dimensional participating cube with those of existing solutions. A spherical participating medium with uniform heat generation ratio surrounded in square walls is analyzed and the effect of non-spherical boundary conditions on. the temperature distribution is examined. As an example of an arbitrary configuration, a torus plasma in a large helical device in which the plasma, approximated as a gray participating medium is analyzed. The dimensionless temperature distribution of the model plasma and heat flux distribution of the vacuum chamber are demonstrated.

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