Models of thermomechanics with the final and endless speed of heat spread. Monograph

The monograph sets out new effective methods for obtaining solutions to the regional problems of non -stationary thermal conductivity and dynamic heat loss, taking into account the final and endless rate of heat spread. Based on the integral method of thermal balance, when using additional functions and additional boundary conditions, accurate analytical solutions of thermal conductivity problems with variable initial conditions, variable in time by boundary conditions, with asymmetric boundary conditions, with internal heat sources. Using the theory of generalized functions, the methods of obtaining accurate analytical solutions to thermal conductivity and thermal capacity for multilayer structures with internal heat sources are considered. Accurate analytical solutions to the regional tasks of dynamic heat -capacity were obtained, taking into account the final and endless rate of heat spread. Based on the integral method of thermal balance, by determining the front of temperature indignation and additional boundary conditions, close analytical solutions of nonlinear heat conductivity problems with nonlinear heat sources, regional tasks for the thermal turbulent border layer, and the tasks of Stefan were obtained. An accurate analytical solution to the non -stationary problem of thermal conductivity with a nonlinear source of heat, from the analysis of which are found curves separating stationary regimes from the heat explosion regimes (unlimited increase in temperature)
The book is intended for scientific and technical workers specializing in mathematics, thermophysics, thermal capacity, as well as teachers and students of technical universities