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An efficient analytical solution to transient heat conduction in a one-dimensional hollow composite cylinder

In this paper a novel analytical method is applied to the problem of transient heat conduction in a one-dimensional hollow composite cylinder with a time-dependent boundary temperature. It is known that for such problems in general, the underlying eigenvalue and residue calculations pose a challenge in practice because of the computational requirements especially for a cylinder with many layers. A new approximated analytical solution is derived by a novel application of the Laplace transformation. As a result, the problem of eigenvalue or residue computation is avoided. A closed-form solution is presented. A further comparison of analytical results with numerical models demonstrates a high accuracy of the developed analytical solution.