ANALYTICAL STUDY OF HEAT STATE OF THE BODY AT HIGH-INTENSITY PROCESSES OF HEAT PROPAGATION

Modeling of high intensity heat propagation processes in which the possible violation of the linear relationship between heat flux and temperature gradient is particularly complex. In this case the heat flux density is determined by the generalized Fourier law which takes into account relaxation processes. To estimate the contribution of relaxation phenomena of the body excessive temperature for the first kind boundary conditions was calculated. The possibility of getting on the thermal state of the body of data for any arbitrarily small values of the Fourier numbers is determined. Utilization of analytical functions which are based on hyperbolic heat equation, enables more accurate calculation of the temperature field in view of the relaxation processes and define the boundaries of the thermal front. It is shown that at the Fourier numbers close to the relaxation of the Fourier numbers, coordinate of the thermal layer is almost identical with the body surface. Estimated body temperatures in the first stage taking into consideration relaxation phenomena and on the simplified procedure demonstrate a marked divergence, however at the end of the first stage and at the second stage the temperatures correlation is satisfactory. Good comparability is observed in close proximity to the surface, the nature of changes in temperature coincides within the same thermal layer.