Thermal spreading resistances in compound annular sectors

A general solution, based on the separation of variables method, for the th ermal spreading resistance in compound annular sectors, is presented. Resul ts are given for three heat flux distributions: inverse parabolic, uniform, and parabolic profiles. The general solution can be used to model any numb er of equally spaced heat sources on a compound or isotropic annulus. Graph ical 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.