Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and framework General Equation for Reversible-Irreversible Coupling (GENERIC), we demonstrate that, in heat conduction theories, entropy current multipliers can be interpreted as relaxed state variables. Fourier's law its various extensions -- Maxwell-Cattaneo-Vernotte, Guyer-Krumhansl, Je...

Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evalu...

In this work, a generalized solution for the thermoelastic plane wave in a semi-infinite solid induced by pulsed laser heating is developed. The solution takes into account the non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, which play significant roles in ultrashort pulsed laser heating. Based on this solution, calculations are conducted to st...

We investigate different and new thermoelastic Timoshenko systems with or without history, Fourier Cattaneo law for heat conduction, respect to (non-)exponential stability. Results are obtained that shed a light on the role of history terms conduction law. Improvements previous results earlier work [12] presented, clarifying open questions, as well contrasting [14] . The sensitivity system laws...

The relation between the heat flux vector and temperature gradient is called heat conduction constitutive model. The most well known constitutive relation in heat transfer is Fourier model which is originally based on experimental observations. This model which is pure diffusive in nature considers the instantaneous flow of heat in the medium in the presence of even a small temperature gradient...

Fourier and hyperbolic models of heat transfer on a fin that is subjected to a periodic boundary condition are solved analytically. The differential equation in Fourier and non-Fourier models is solved by the Laplace transform method. The temperature distribution on the fin is obtained using the residual theorem in a complex plan for the inverse Laplace transform method. The thermal shock is ge...