Lord and Shulman [1] formulated the generalized thermoelasticity theory introducing one relaxation time in Fourier's law of heat conduction equation and thus transforming the heat conduction equation into a hyperbolic type.

When Fourier conductivity is dominant, then the temperature equation reduces to classical Fourier's law of heat conduction and when the effect of conductivity is negligible, then the equation has undamped thermal wave solutions without energy dissipation.

The simulation was carried out based on the Fourier's

law of heat conduction and Newton Law of cooling.

Under such conditions, Fourier's

law of heat conduction, which is based on the continuum assumption, becomes invalid (39).

The background and foundation for this study evolve around thermal dynamics and Fourier's

law of heat conduction.

In classical unsteady heat transfer problems, the basic equations are derived from Fourier's

law of heat conduction, which results in a parabolic equation for the temperature field and an infinite speed of heat propagation, thus violating the principle of causality.

Lord and Shulman [1] generalized the classical thermoelastic model of Biot [2], by incorporating a flux rate term into the Fourier's

law of heat conduction which results into a hyperbolic heat transport equation admitting finite speed of thermal signals.

Fourier's

law of heat conduction is used to determine the thermal conductivity of the test specimens from the measured heat flux and the known specimen dimensions.

Hooke's law of elasticity, Fourier's

law of heat conduction, and Darcy's Law for fluid flow in porous media.

From Fourier's

law of heat conduction the conduction process can be quantified as a heat flux rate equation.

FEA relies on Fourier's

law of heat conduction to create a conductivity matrix for an element.

In addition, the simulation was also conducted based on the Fourier's

law of heat conduction and Newton Law of cooling.