Modeling and the adaptive solution of CVD fiber-coating process Original Research Article

We develop a mathematical model for the coating of ceramic fibers by chemical vapor deposition (CVD) in cylindrical hot- or cold-walled reactors. The model couples the Navier-Stokes equations for the mixture of a carrier gas and precursor species, an energy equation for the gaseous mixture, a convection-diffusion system for the reacting precursor species, a fiber coating model, and a fiber heat conduction equation. The system is heated by a combination of conduction, convection and radiation. The partial differential system resulting from this model is solved by adaptive finite element software using automatic mesh refinement and coarsening on a quadtree-structured mesh. The results of parameter studies indicate the effectiveness of using adaptive solution techniques with CVD applications and also suggest some guidance for improving the process. Purc