Abstract
The work is devoted to the issues of stationary heat transfer. The article presents a solution for the distribution of the temperature field in a rectangular plate. At the same time, the law of change of thermal conductivity along one of the coordinates is known. Heat exchange at the two opposite ends of the plate occurs under boundary conditions of the third kind, there is no heat exchange at the other two. The solution is found by decomposition into a functional series. As a result, an analytical expression of the plate temperature distribution is obtained in the form of a Fourier series containing modified zero-order Bessel functions.
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