Atlas home || Conferences | Abstracts | about Atlas

PCC99, Phase Change with Convection: modelling and validation
June 24-26, 1999
European Science Foundation, Applied Mathematics for Industrial Flow Problems
Warsaw, Poland

Organizers
Tomasz Kowalewski, Fulvio Stella, Jerzy Banaszek, Janusz Szmyd

View Abstracts
Conference Homepage

A Generalization of the Navier-Stokes Equations to Two-Phase Flows
by
Thomas Blesgen
University of Leipzig, Department of Mathematics and Computer Science

A modified Allen-Cahn equation is combined with the compressible Navier-Stokes system. It is shown that after altering the stress tensor, the resulting equations fulfil the second law of thermodynamics. A physical motivation for this altered stress tensor is given. The model can be used to describe the behaviour of gas phases in a flowing liquid. It is compared to the well known phase field equations and some numerical calculations are presented to underline its physical significance.

Date received: February 22, 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-12.