On the Mathematical Analysis and Optimization of Chemical Vapor Infiltration in Materials Science

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 difficul...

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Bibliographic Details
Published in:ESAIM: Mathematical Modelling and Numerical Analysis 2000-03, Vol.34 (2), p.337-351
Main Authors: Ditkowski, Adi, Gottlieb, David, Sheldon, Brian W.
Format: Article
Language:English
Subjects:
76S05
Applied sciences
Calculus of variations and optimal control
chemical vapor deposition (CVD)
Composites
computer simulation
Exact sciences and technology
Flows through porous media
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical programming
Mathematics
Nonhomogeneous flows
Operational research and scientific management
Operational research. Management science
optimization
Partial differential equations
Physics
Sciences and techniques of general use
theory
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Summary: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.
ISSN:0764-583X
1290-3841
DOI:10.1051/m2an:2000144