Numerical solution of dual-phase-lagging heat conduction model for analyzing overshooting phenomenon

作者：

Highlights：

• We have solved dual-phase-lagging heat conduction model by unconditionally compact difference scheme.

• Present numerical scheme reduces the space as well as time complexity.

• We analyzed the effect of Fourier number and B, on the overshooting phenomenon.

• Effect of Fourier number and B, on the overshooting phenomenon will be helpful for manufacturing industries.

• Overshooting phenomenon occurs in gold film for very small Fourier number.

摘要

•We have solved dual-phase-lagging heat conduction model by unconditionally compact difference scheme.•Present numerical scheme reduces the space as well as time complexity.•We analyzed the effect of Fourier number and B, on the overshooting phenomenon.•Effect of Fourier number and B, on the overshooting phenomenon will be helpful for manufacturing industries.•Overshooting phenomenon occurs in gold film for very small Fourier number.

论文关键词：Dual-phase-lagging heat conduction model,Generalized heat conduction model,Overshooting phenomenon,Gold film,Compact difference scheme,Unconditionally stable

论文评审过程：Available online 23 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.039