Comparing the dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models using modal analysis

作者:

Highlights:

• Dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models are compared.

• Modal analysis provides realistic values for lag times of DPL and CV models.

• Approximate series solutions converge in terms of an energy norm which is stronger than the maximum norm.

• Heat pulse progresses slower into specimen for DPL and CV models than for Fourier model.

• Vibrational analysis provides insight into series solutions of DPL and CV models.

摘要

•Dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models are compared.•Modal analysis provides realistic values for lag times of DPL and CV models.•Approximate series solutions converge in terms of an energy norm which is stronger than the maximum norm.•Heat pulse progresses slower into specimen for DPL and CV models than for Fourier model.•Vibrational analysis provides insight into series solutions of DPL and CV models.

论文关键词:Hyperbolic heat conduction,Dual phase lag model,Cattaneo-Vernotte model,Modal analysis,Heat pulse problem

论文评审过程:Received 28 August 2020, Revised 29 November 2020, Accepted 20 December 2020, Available online 7 January 2021, Version of Record 7 January 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125934