Chapter 4. Simulation of Liquid Silicon Flow and Reaction in Porous Carbon Preforms

  1. John B. Wachtman Jr.
  1. G. Rajesh and
  2. Ram B. Bhagat

Published Online: 26 MAR 2008

DOI: 10.1002/9780470314821.ch4

Proceedings of the 20th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - A: Ceramic Engineering and Science Proceedings, Volume 17, Issue 3

Proceedings of the 20th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - A: Ceramic Engineering and Science Proceedings, Volume 17, Issue 3

How to Cite

Rajesh, G. and Bhagat, R. B. (1996) Simulation of Liquid Silicon Flow and Reaction in Porous Carbon Preforms, in Proceedings of the 20th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - A: Ceramic Engineering and Science Proceedings, Volume 17, Issue 3 (ed J. B. Wachtman), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470314821.ch4

Author Information

  1. Engineering Science and Mechanics Department, The Pennsylvania State University, 227 Hammond Building, University Park, PA 16802, USA

Publication History

  1. Published Online: 26 MAR 2008
  2. Published Print: 1 JAN 1996

ISBN Information

Print ISBN: 9780470375426

Online ISBN: 9780470314821

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Keywords:

  • analytical;
  • permeability;
  • infiltration;
  • liquid/solid interface;
  • homogenization

Summary

The first part of this paper presents an analytical solution to a problem of surface reaction between a liquid and a solid cylinder. The second part of this study is a 2-D finite element simulation for liquid silicon flow and reaction in porous carbon preforms. At the micro level, the Navier-Stokes' momentum equations and the equations of heat and mass transfer are solved for a representative volume element (RVE) of the preform which is assumed to be a hexagonal array of carbon fibers. The combination of the analytical and finite element formulations to predict the rate of growth of silicon carbide at the silicon/carbon interface will be useful in predicting the transient permeability of the preform.