Meshless approach for coupled radiative and conductive heat transfer in one-dimensional graded index medium |
| |
Authors: | L.H. Liu J.Y. Tan B.X. Li |
| |
Affiliation: | School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, People's Republic of China |
| |
Abstract: | A meshless local Petrov-Galerkin (MLPG) approach is employed for solving the coupled radiative and conductive heat transfer in a one-dimensional slab with graded index media. The angular distribution term in discrete ordinate equation of radiative transfer within a one-dimensional graded index slab is discretized by a step scheme, and the meshless approach for radiative transfer is based on the discrete ordinate equation. A moving least-squares approximation is used to construct the shape function. Two particular test cases for coupled radiative and conductive heat transfer within a one-dimensional graded index slab are examined to verify this new approximate method. The temperatures and the radiative heat fluxes are obtained. The results are compared with the other benchmark approximate solutions. By comparison, the results show that the MLPG approach has a good accuracy in solving the coupled radiative and conductive heat transfer in one-dimensional graded index media. |
| |
Keywords: | Radiation Conduction Combined heat transfer Semitransparent medium Graded index Meshless method |
本文献已被 ScienceDirect 等数据库收录! |