Finite element method for radiation heat transfer in multi-dimensional graded index medium |
| |
Authors: | L.H. Liu L. Zhang H.P. Tan |
| |
Affiliation: | School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, PR China |
| |
Abstract: | In graded index medium, ray goes along a curved path determined by Fermat principle, and curved ray-tracing is very difficult and complex. To avoid the complicated and time-consuming computation of curved ray trajectories, a finite element method based on discrete ordinate equation is developed to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Two particular test problems of radiative transfer are taken as examples to verify this finite element method. The predicted dimensionless net radiative heat fluxes are determined by the proposed method and compared with the results obtained by finite volume method. The results show that the finite element method presented in this paper has a good accuracy in solving the multi-dimensional radiative transfer problem in semitransparent graded index medium. |
| |
Keywords: | Radiative heat transfer Graded index medium Semitransparent medium Finite element method |
本文献已被 ScienceDirect 等数据库收录! |