2D Numerical Simulation Gas - Liquid Type Phase Transition for Molecules in Ceramics
by
Janis Rimshans
Institute of Mathematics and Computer Sciences , University of Latvia ,Rainja blvd. 29, LV-1459 , Latvia
Coauthors: V. Frishfelds (Faculty of Physics and Mathematics, University of Latvia, Zellu 8, LV-1002, Latvia), I. Madzhulis (Faculty of Physics and Mathematics, University of Latvia, Zellu 8, LV-1002, Latvia)

Based on microscopic kinetic equations, a mathematical model is considered for the time- dependent diffusion process of self interacting metal vapour in fireproof material in strongly inhomogeneos temperature field. Two dimensional structure is examined, where the inner hot surface acts as a source of metal vapour, but the outer surface - as a cooler. Due to self interaction of metal vapour phase transition (condensation) near the outer surface is appeared. The developed conservative, monotonous and absolutely stable difference scheme is based on special exponential type substitution for concentration of molecules. Results of non steady state 2D numerical experiments are presented. It is shown that metal vapour transition produces a stochastic nature of phase evalution.

Date received: February 27, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caco-17.