Analytical solution of two-dimensional transient heat conduction in fiber-reinforced cylindrical composites

摘要

An analytical solution is obtained for two-dimensional transient heat conduction in a fiber-reinforced multilayer cylindrical composites. Separation of variables method is employed to develop the transient temperature fields. In the polar coordinates, the presented analytical solution contains trigonometric series and Bessel series. Both the sine series and the cosine series are included in the trigonometric series. To deal with the continuity conditions at the interfaces, the initial parameter method is used and the solution is derived only by operating two by two matrices. The solving procedure is performed directly in time domain and the Laplace transform is avoided. The effect of the fibers' angle on the transient heat conduction behaviors is investigated.