Non-Fourier Heat Transfer Based on Extended Separation Variable Method

doi:10.19596/j.cnki.1001-246x.7772

Abstract

Abstract: Non-Fourier heat transfer model cannot be solved by conventional method of separating of variables. A conventional method of separating variables is developed. Fourier model, Cattaneo-Vernotte (C-V) model and dual phase lag (DPL) model are solved by the method. Differences of temperature fields calculated with three models are compared. Temperature fluctuation in C-V model and DPL model is studied. And relation between temperature fluctuation velocity and time lag of heat flux is studied.

Key words: separation of variables method, non-Fourier model, temperature field, dual-phase-lag models

CLC Number:

LI Xixia, WANG Li, DAI Haiyan, LI Changyu. Non-Fourier Heat Transfer Based on Extended Separation Variable Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(6): 685-692.

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