EXACT SOLUTION OF HEAT-CONDUCTION IN COMPOSITE-MATERIALS AND APPLICATION TO INVERSE PROBLEMS

Calculation of temperature in high-temperature materials is of acl ren t interest to engineers, e.g., the aerospace industry encounters cooli ng problems in aircraft skins during the flight of high-speed air vehi cles and in high-Mach-number reentry of spacecraft. In general, numeri cal techniques are used to deal,vith conduction in composite materials . This study uses the exact series solution to predict the temperature distribution in a two-layer body: one orthotropic and one isotropic. Often the exact series solution contains an inherent singularity at th e surface that makes the computation of the heat flux difficult. This singularity is removed by introducing a differentiable auxiliary funct ion thar satisfies the nonhomogeneous boundary conditions. Finally, an inverse hear conduction technique is used to predict surface temperat ure and/or hear flux.