We describe the general mathematical model as well as the numerical integration procedure arising in modeling a realistic chemical vapor infiltration process. The numerical solution of the model ultimately leads to the solution of a large system of stiff differential algebraic equations. An operator splitting algorithm is employed to overcome the stiffness associated with chemical reactions, whereas a projection method is employed to overcome the difficulty arising from having to solve a large coupled system for the velocity and pressure fields. The resulting mathematical model and the numerical integration scheme are used to explore temperature, velocity, and concentration fields inside a chemical vapor infiltration reactor used in the manufacturing of aircraft brakes.
On the Numerical Scheme to Solve a Realistic Chemical Vapor Infiltration Reactor Model
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Kamel, JK, & Paolucci, S. "On the Numerical Scheme to Solve a Realistic Chemical Vapor Infiltration Reactor Model." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 8: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 1199-1209. ASME. https://doi.org/10.1115/IMECE2007-43710
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