Perfect thermal contact conditions
Perfect thermal contact supposes that on the boundary surface there holds an equality of the temperatures
and an equality of heat fluxes
where are temperatures of the solid and environment (or mating solid), respectively; are thermal conductivity coefficients of the solid and mating laminar layer (or solid), respectively; is normal to the surface .
If there is a heat source on the boundary surface , e.g. caused by sliding friction, the latter equality transforms in the following manner
where is heat-generation rate per unit area.
- H. S. Carslaw, J. C. Jaeger (1959). Conduction of heat in solids. Oxford: Clarendon Press.
- M. Shillor, M. Sofonea, J. J. Telega (2004). Models and analysis of quasistatic contact. Variational methods. Berlin: Springer.