On the Mathematical Analysis and Optimization of Chemical Vapor Infiltration in Materials Science
Division of Applied Mathematics, Brown University Providence, RI 02912, USA. e-mail: firstname.lastname@example.org
2 Division of Engineering, Brown University Providence, RI 02912, USA.
In this paper we present an analysis of the partial differential equations that describe the Chemical Vapor Infiltration (CVI) processes. The mathematical model requires at least two partial differential equations, one describing the gas phase and one corresponding to the solid phase. A key difficulty in the process is the long processing times that are typically required. We address here the issue of optimization and show that we can choose appropriate pressure and temperature to minimize these processing times.
Mathematics Subject Classification: 76S05
Key words: Composites / chemical vapor deposition (CVD) / optimization / computer simulation / theory.
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