Thermodynamical consistency of the Dual Phase Lag heat conduction equation

TL;DR

This paper examines the dual phase lag heat conduction equation through the lens of non-equilibrium thermodynamics, confirming its thermodynamic consistency under certain conditions.

Contribution

It provides a thermodynamic validation of the dual phase lag heat conduction model using non-equilibrium thermodynamics principles.

Findings

The dual phase lag equation aligns with the second law of thermodynamics.

Thermodynamic consistency holds when relaxation times are non-negative.

First order Taylor expansion of the equation is validated.

Abstract

Dual phase lag equation for heat conduction is analyzed from the point of view of non-equilibrium thermodynamics. Its first order Taylor series expansion is consistent with the second law as long as the two relaxation times are not negative.