The relations between temperatures inside the multidimensional bodies heated by radiation
Abstract
The relations between temperatures inside the multidimensional bodies heated by radiation
Incoming article date: 29.05.2018The scheme of calculation of nonstationary temperatures in the bodies heated by the radiation which based on the established dependencies between them is presented in the article. To study the process of radiation heating of bodies, the method of linearization functions proposed by one of the authors is used. The idea of the method is as follows. The linearizing transformation leads nonlinear boundary conditions to linear boundary conditions of the third kind. The solution of the linear problem in the stage of regular temperature regime is found by multiplying the corresponding solutions of one-dimensional transfer problems. After the transformations, equations are obtained that allow calculating the temperature fields in multidimensional bodies, if the temperature distribution along the coordinate axes or on the surface is known. There is no need to know the physical parameters of the material and the degree of blackness of the body surface.
Keywords: temperature field, radiation heating, multidimensional bodies, linearizing transformation, linear boundary conditions of the third kind