Constriction resistance of circular contacts on coated surfaces - Effect of boundary conditions

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Abstract
The thermal constriction resistance of a circular contact spot on a coated half-space is developed for both heat flux and temperature-specified boundary conditions on the contact. Solutions are obtained with the Hankel transform method for flux-specified contacts and with a novel technique of linear superposition for the mixed boundary value problem created by an isothermal contact. A comparison of the results obtained shows that the thermal constriction resistance, which is based on average contact temperature, is insensitive to the contact boundary condition for most practical purposes. Nomenclature U =contact radius = dimensionless scaling factors of Neumann =error test at point u, =complete elliptic integral of the second kind =incomplete elliptic integral of the second kind =prescribed flux distribution on surface (also 4, solutions c, e, E( .) E( ., . ) E, =sum of errors squared

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