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Modeling and the Adaptive Solution of CVD Fiber-Coating Processes

Summary: Modeling and the Adaptive Solution of
CVD Fiber-Coating Processes
S. Adjerid, J. E. Flaherty, J. B. Hudson, and M. S. Shephard
Scienti c Computation Research Center
Rensselaer Polytechnic Institute
Troy, New York 12180, USA
We develop a mathematical model for the coating of ceramic bers 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-di usion system for the reacting precursor
species, a ber coating model, and a ber heat conduction equation. The system is heated
by a combination of conduction, convection, and radiation.
The partial di erential system resulting from this model is solved by adaptive nite el-
ement software using automatic mesh re nement and coarsening on a quadtree-structured
mesh. The results of parameter studies indicate the e ectiveness of using adaptive so-
lution techniques with CVD applications and also suggest some guidance for improving
the process.
1 Introduction
Ceramic composites are designed for use in high-temperature applications such as heat


Source: Adjerid, Slimane - Department of Mathematics, Virginia Tech


Collections: Mathematics