Introduction.- Mechanism of Contact Heat Transfer.- Significance of Contact Heat Transfer.- Scope of Present work.- Thermal Constriction Resistance.- Circular Disc in Half Space.- Resistance of a Constriction Bounded by a Semi-Infinite Cylinder.- Constriction in a Gaseous Environment.- Other Types of Constrictions.- Solid Spot Conductance of a Joint.- Multiple Spot Contact Conductance.- Estimation of the Number and Average Size of Contact Spots.- Gaussian Distribution of Surface Heights and Slopes.-... Mehr