Thermal waves for nonlinear hyperbolic heat conduction

Splitting schemes for hyperbolic heat conduction equation

Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of heat fluxes. In this case, the mathematical model is based on a hyperbolic equation of second order or a system of equations for the temperature and heat flu...

Nonlinear Hyperbolic Surface Waves

We describe examples of hyperbolic surface waves and discuss their connection with initial boundary value and discontinuity problems for hyperbolic systems of PDEs that are weakly but not uniformly stable.

thermal analysis of workpiece under electrical discharge machining (edm), using hyperbolic heat conduction model

whereas in electrical discharge machining (edm) the heat flux entering the workpiece is extremely high, the fourier heat conduction model may fails. this article reports on determination of temperature distribution in the workpiece due to edm using non-fourier heat conduction model. equations are solved by deriving the numerical solution. the temperature layers and profiles of sample calculatio...

Hyperbolic Heat Conduction in Composite Materials

A hyperbolic heat conduction (HHC) equation has been proposed to replace Fourier heat conduction equation in cases heat transfer takes place in a very short period of time or at extremely low temperature. There is a growing interest in the investigation of HHC problem in recent years, but to the author’s knowledge, HHC in composite media in multidimension has not been studied up to date. This p...

The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations