small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. non-fourier heat transfer overcomes some shortcomings of fourier heat tran...

This paper deals with the theoretical investigation of the thermal instability of a thin layer of electrically conducting micropolar rotating fluid, heated from below in the presence of uniform vertical magnetic field in porous medium. A dispersion relation is obtained for a flat fluid layer, contained between two free boundaries using a linear stability analysis theory, and normal mode analysi...

It is necessary to use more general models than the classical Fourier heat conduction law describe small-scale thermal processes. The effects of flow memory and capacity (internal energy) in solids are considered first-order integrodifferential evolutionary equations with difference-type kernels. main difficulties applying such nonlocal in-time mathematical associated need work a solution throu...

Abstract In this paper, the general and supplementary conditions are used to determine inverse heat conduction in parabolic equation. The measured ensure that problem has a unique solution, but solution is not stable, so ill-posed. Using boundary element method discretize original problem, it solve problem. On basis, direct method, least square regular tried. Finally, minimal energy system. Num...