Propagation of heat wave in composite cylinder using Cattaneo-Vernotte theory

Using Cattaneo-Vernotte theory, a general analytical solution for the distribution of non-axisymmetric temperature in a long multi-layer composite cylinder is presented. The temperature distribution due to an initial asymmetric excitation in the cylinder is extracted by solving the hyperbolic heat conduction equation using the separation of variables method. The analytical solution is verified with the results of the finite difference method. In addition, the effect of imperfect interface on the temperature distribution is studied. According to results, the temperature in a multi-layer composite cylinder is dominantly affected by heat waves, and propagate through layers due to the discontinuity between initial and boundary conditions, and their reflections from the interfaces due to the difference in thermal properties of layers. In addition, the heatwaves generated on the imperfect interfaces, due to their thermal resistance, disturb the temperature. Also, the effect of fiber angle on the temperature distribution in radial and circumferential directions is studied. Finally, the temperature distribution is examined in terms of time and it is shown that the temperature distribution in terms of time at a specific point generally has an oscillatory behavior. (C) 2020 Elsevier Ltd. All rights reserved.