Thermal spreading resistances in compound annular sectors

A general solution, based on the separation of variables method, for the thermal spreading resistance in compound annular sectors, is presented. Results are given for three heat flux distributions: inverse parabolic, uniform, and parabolic profiles. The general solution can be used to model any number of equally spaced heat sources on a compound or isotropic annulus. Graphical results are presented for a variety of parameter combinations. Finally, it is shown that the general solution for a thin annulus reduces to that of a flux channel when curvature effects are negligible.