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

Published online by Cambridge University Press:  15 April 2002

Adi Ditkowski ,
David Gottlieb  and
Brian W. Sheldon
Adi Ditkowski
Affiliation:
Division of Applied Mathematics, Brown University Providence, RI 02912, USA. e-mail: dig@cfm.brown.edu
David Gottlieb
Affiliation:
Division of Engineering, Brown University Providence, RI 02912, USA.
Brian W. Sheldon
Affiliation:
Division of Engineering, Brown University Providence, RI 02912, USA.
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Abstract

In this paper we present an analysis of the partial differential equations thatdescribe the Chemical Vapor Infiltration (CVI) processes. The mathematical modelrequires at least two partial differential equations, one describing thegas phase and one corresponding to the solid phase.A key difficulty in the process is the long processing times that are typicallyrequired. We address here the issue of optimization and show that we can chooseappropriate pressure and temperature to minimize these processing times.

Keywords

Compositeschemical vapor deposition (CVD)optimizationcomputer simulationtheory.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 2: Special issue for R. Teman's 60th birthday , March 2000 , pp. 337 - 351
Copyright
© EDP Sciences, SMAI, 2000

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