The present invention facilitates the thermal conductivity of fabrics by surface coating of the fabrics with high thermal conductivity materials 6. The fabrics may be surface coated when they are individual fibers or strands 4, bundles of strands, formed fabric or combinations therefore. A particular type of fibrous matrix used with the present invention is glass. Some fabrics may be a combination of more than one type of material, or may have different materials in alternating layers. HTC coatings of the present invention include diamond like coatings (DLC) and metal oxides, nitrides, carbides and mixed stoichiometric and non-stoichiometric combinations that can be applied to the host matrix.