Numerical Simulation of Radiation Heat Transfer in a One-Dimensional Graded Index Sphere

摘要

The rays will propagate along a curved path determined by the Fermat principle in medium with inhomogeneous refractive index distribution.To avoid the complicated computation of ray trajectories,a finite element method is extended to solve the radiative transfer problem in a one-dimensional absorbing-emitting semitransparent spherical graded index medium.A problem of radiative transfer inside a semitransparent spherical graded index medium is taken as an example to verify the method.The predicted temperature distributions are determined by the proposed method,and are compared with the results available in references.The results show that finite element method can predict the radiative heat transfer in one-dimensional absorbing-emitting semitransparent spherical graded index medium accurately.