Radiative heat transfer in a parallelogram shaped cavity

Abstract

a b s t r a c t a r t i c l e i n f o Available online xxxx Keywords: Radiative transfer Parallelogram Ray tracingAn exact analytical description of the internal radiative field inside an emitting-absorbing grey semi-transparent medium enclosed in a two-dimensional parallelogram cavity is proposed. The expressions of the incident radiation and the radiative flux field are angularly and spatially discretized with a double Gauss quadrature, and the temperature field is obtained by using an iterative process. Some numerical solutions are tabulated and graphically presented as the benchmark solutions. Temperature and two components of the radiative flux are finally sketched on the whole domain. It is shown that the proposed method gives perfectly smooth results.

Heat transfer in a semi-transparent parallelogram shaped medium

“…Few studies deal with parallelogram media. The radiative heat transfer was investigated in a parallelogram shaped cavity [20] but there is no coupling with conduction. Then it is interesting to apply the method, already developed for a rectangular semitransparent medium [21][22], for a parallelogram semitransparent medium.…”