Abstract

The paper offers a method of solving transient linear transfer problems on the assumption that the solution of the Green function for an infinite space is known.A study of different boundary value problems for a comprehensive class of regions is given ; an integral equation is constructed, the solution to which is the influence function for a given region at adiabatically isolated boundary. In the paper it is shown that the constructed integral equation may be solved by the method of successive approximations and the rate of convergence is studied. Further, it is shown that the terms of successive approximation series permit rather lucid and visual physical interpretation facilitating the interpretation of the transfer process.The construction of the influence function makes it possible to outline in general form the method of solving the first boundary value problem. For this a new integral equation is constructed to find the heal flux providing transfer process at the given boundary conditions, use being made of the influence function for the given region. This integral equation may also be solved by the method of successive approximations which permits a rather clearer physical interpretation.

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