Non-stationary boundary value problems of heat conduction in infinite multilayered cylindrical circular domains (Q2753483)

Non-stationary temperature fields in an orthotropic inhomogeneous solid occupying: (i) space; (ii) space with circular hole; (iii) infinite cylinder; (iv) infinite hollow cylinder, are studied. The solid consists of \(n\) cylindrical layers in radial direction. Different variants of boundary conditions are considered. Explicit solutions of problems are obtained by application of the finite Fourier transform in the angular coordinate and of the Weber, the Hankel of the first and the second kind hybrid transforms in the radial coordinate.