Solution of a heat-conduction problem for a finite cylinder and semispace under mixed local boundary conditions in the plane of their contact

With the use of the method of summator–integral equations, an axisymmetric problem has been investigated that deals with the development of spatial temperature fields appearing in a finite cylinder with an arbitrary distribution of initial temperature when the cylinder comes in contact with a semiinfinite body that has a constant initial temperature. The essential feature of the considered thermophysical model of heat exchange is that mixed boundary conditions of the second and fourth kind are assigned in the plane of contact of the finite body with the semispace. The thermophysical properties of the bodies considered are different