Finding the temperature distribution in a rectangular plate with variable thermal conductivity in one coordinate

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