Non-steady state 2D numerical simulation of gas-liquid phase transition in metal vapour

Jevgenijs Kaupuzs; Janis Rimshans

Jevgenijs Kaupuzs University of Latvia
Janis Rimshans University of Latvia

Abstract

A mathematical model of diffusion of vaporized interacting metal molecules in a fireproof material is considered. The model is based on microscopic kinetic equations describing the process under condition of a strongly non-homogeneous temperature field. A two-dimensional structure is examined, where the inner hot surface acts as the source of metal vapour and the outer surface - as a cooler. Due to interaction between metal molecules, a phase transition (condensation) proceeds near the outer surface. A conservative, monotonous, and absolutely stable difference scheme is developed on the basis of a special exponential substitution for the concentration of molecules. Results of 2D numerical experiments in non-steady state are presented.

Keywords

References

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