It is well known that the model was built on the classical

Fourier's law, implying an infinite thermal propagation velocity and an instantaneous thermal effect [8, 9].

Fourier's law is based purely on empirical observation and is not derived from other physical principles.

Fourier's law satisfies the heat conduction induced by a small temperature gradient in steady state.

In classical thermoelasticity, the heat conduction is governed by the

Fourier's law, which means that the heat flux is proportional to the gradient of temperature.

In Pennes bio-heat equation, the heat conduction in biological tissue is modeled by using

Fourier's lawDue to the above assumption, the energy equation becomes the only governing equation for the analysis of PCMs, and it reduces to

Fourier's law of conduction given as,

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.

Fourier's law is quite accurate for most common engineering problems.

The simulation was carried out based on the

Fourier's law of heat conduction and Newton Law of cooling.

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.

The relation between the heat flux and temperature gradient is given by

Fourier's law: