With a knowledge of the thermal resistance value associated with an asperity, a model for the thermal contact resistance of a given interface is obtained by considering that each asperity of surfaces in contact is a flux tube. Calculation of any of the thermal conductances depends on the contact radius of each asperity. This radius increases with load, as asperities are compressed. Contact area is calculated for a plastic load. Values of thermal contact conductance (or resistance) are compared with experimental results.