Analysis of thermal constriction resistance with adiabatic circular gaps

Abstract

The thermal constriction resistance is studied analytically for the special case of the interface of two simiinfinite solids in partial contact at various contact geometries. A corrective-iterative method is applied to solve the spatially periodic combination of Dirichlet and Neumann equations, and the thermal constriction resistance is expressed in a power series related to the fraction of the interfacial area occupied by the adiabatic disks. An expression for the dimensional resistance is developed which effectively describes discrete circular contacts or gaps on an otherwise isothermal surface. 33 refs.