Dr. Yasong Sun
Associate professor, School of Power and Energy, Northwestern Polytechnical University, China.

Speech title: Spectral Collocation Method for Non-Fourier Conduction and Radiation in a Cylindrical Medium

Abstract: Combined conductive and radiative heat transfer bounded by a cylindrical enclosure is simulated by the spectral collocation method. The medium is an absorbing, emitting and scatting participating medium. The finite propagation speed of heat transfer by conduction is accounted by modifying the Fourier’s law, and the volumetric radiation information is obtained by radiative transfer equation in cylindrical coordinate. Energy equation and radiative transfer equation are solved by the spectral collocation method, and the angular derivative term of radiative transfer equation is discretized by the finite Chebyshev transform. Numerical results of spectral collocation method associated with finite Chebyshev transform (SCM-FCT) are compared with those available data in the literature. These comparisons show that SCM-FCT results are in excellent agreement with those reported in the literature. Compared with the traditional discrete ordinate method, the SCM-FCM is more easily applied to high order spherical harmonic calculation. Moreover, effects of extinction coefficient, scatting albedo, conduction-radiation parameter, emissivity, radius ratio on temperature distribution are comprehensively analyzed.