Diffusion coatings continued characteristics

Some substrates must be heated for deposition. For example, large ceramic (brittle) substrates must be evenly heated to avoid large temperature gradients, which could result in fracture, across their surface. Many coating materials and phases also require a warm or hot substrate to deposit. This characteristic is related to the surface diffusion and thermodynamics of the materials. A material s dependence on a heated substrate may be only for the deposition itself to achieve a dense, continuous film or for the deposition of a particular phase or morphology. For example, many materials require a hotter substrate to form a crystalline film as opposed to an amorphous film. 

The transfer rate in the mixed side-pore model is proportional to the difference in concentration between the flowing-water and immobile-water phases. The transfer-rate constant kgA is a characteristic-rate parameter for diffusion in the immobile-water phase. Without the Freundlich sorption mechanism, this third model is the same as the dead-end pore model developed by Coats and Smith (19). The Freundlich sorption isotherm was included by van Genuchten and Wierenga (18) in their study, but they solved for the linear case only. Grove and Stollenwerk (20) described a similar model but included Langmuir sorption and a continuous immobile-water film phase. 

---