Hyperbolic Heat Conduction Equation

Abstract

A key role in our study is played by the conjugation factor (FC). Here $$h$$ is the true heat transfer coefficient (THTC), $$h = q/\vartheta$$ is the averaged true heat transfer coefficient (ATHTC), $$h_{m} = q/\vartheta$$ is the experimental heat transfer coefficient (EHTC), $$\vartheta$$ is the temperature difference body–fluid, and $$q$$ is heat flux at the solid–fluid interface. In recent years, considerable interest has been aroused to the problem of high-temperature heat conduction of solid-state body subject to strong high-frequency electronic and laser beams. The use of high power ultrashort energy pulses resulted in unique physical conditions under which the exposure time is comparable with the characteristic time of thermalization, relaxation, and phase transition in a substance. The following regularity can be noticed: the shorter the duration and the higher the intensity of a beam, the larger anomalies are observed in the physical process behavior. This relates, in particular, to receivers of neutral particles in tokamak systems, plasmotron installations, as well as to microchips fabrication processes. Highly energy thermal shocks are known to be practically always be of repetitively pulsed character, which causes expansion of heat waves in solid bodies.