Application of the Equivalency Principle to the Solution of Heat Conductivity Problems (Primeneniye Printsipa Ekvivalentnosti dlya Resheniya Zadach Teploprovodnosti),
Abstract:
Several possibilities have been demonstrated for applying the equivalency principle to solving heat conductivity problems. In this process at the boundaries of a body the sources and resistances of one type are replaced by others in such a way that the dynamics of the bodys temperature field remains unchanged. In particular it has been demonstrated that the solution of the problem of the temperature conditions in a semi-limited body covered with a layer of agitated fluid, in the presence of temperature resistance between the fluid and the body surface and in the presence of given heat flows from the outside and within the liquids, can be expressed as the sum of solutions for two problems with third-order boundary conditions at the surface of a body without fluid. Author