Analytical solution of two-dimensional heat transfer in cylindrical sandwich panel

In this study, an anlytical exact solution for tow-dimensional steady-state heat transfer in cylindrical sandwich panel made of graphite-epoxy and poly urethane foam is presented. these sandwich panel is cylindrical shape and simulated a ground to air rocket. the symmetry heat transfer in the longitudinal and radial directions is presented. Finding the most possible solution based on complex boundary conditions and parametric studies is one of the innovative aspects of the present study. To find the most complete solution, Matlab and Abaqus software were used. For this purpose, first the cylinder was reliably analyzed in Abaqus software and then using the formulas of Strom-Liouville theory and Fourier transform heat transfer in Matlab software and the results were compared. Finally, the temperature distribution for each composite layer with the desired fiber angle between the temperature distribution for the zero and 90 angles is presented.