The method of superposition and separation variables is applied to gain analytical solutions to the transient heat conduction for a two dimensional cylindrical fin. The temperature distributions are generalized for a linear combination of the product of Bessel function, Fourier series and exponential type for nine different cases. The solutions presented in this study can be used to verify the ...

The light-scattering spectrum for a Maxwell fluid in a steady state due to the presence of an external temperature gradient is computed. In such a fluid heat conduction is assumed to be governed by the classical Fourier law. The calculation is carried out through the use of fluctuating hydrodynamics. The effect of the non-Newtonian character of the fluid in the resulting spectrum is discussed.

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...

The present article mainly focuses on the transient thermal dispersal within a moving plate using non-Fourier heat flux model. Furthermore, innovative, sophisticated artificial neural network strategy with Levenberg-Marquardt backpropagated scheme (ANNS-LMBS) is proposed for determining temperature in convective-radiative plate. Using dimensionless terms, energy model exchange simplified into n...

Abstract A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain separation from Fourier such kind of systems. Here we develop a two-temperature model describe principles non-equilibrium thermodynamics. The basic assumption is existence two well-separated length scales system, namely, one relat...