A fluid mechanical model for two-phase flows
Abstract
A modified Allen- Cahn equation is combined with the compressible Navier- Stokes system. After a physically motivated modification of the stress tensor, for the resulting equations the second law of thermodynamics is valid. The model can be used to describe the forming of gas phases in a flowing liquid.
References
[1] S.M. Allen, J.W. Cahn. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metallurgica, 27: 1085- 1095, 1979. [2] M.E. Gurtin, D. Polignone, J. Viñals. Two-phase binary fluids and immiscible fluids described by an order parameter. Math. Models and Math. in Sci., 2: 191- 211, 1996.
[3] L. Truskinovsky. Shock induced transitions and phase structures in general media. IMA, 52: 185-229. Springer, 1992.
[4] K.H. Hoffmann, V.N. Starovoikov. Phase-transitions of liquid- liquid type with convection. Adv. Math. Sci. Appl., 8(1): 185- 198, 1998.
[5] R. Kobayashi. Modeling and numerical simulations of dendritic crystal growth. Physica D, 410-423, 1993.
[3] L. Truskinovsky. Shock induced transitions and phase structures in general media. IMA, 52: 185-229. Springer, 1992.
[4] K.H. Hoffmann, V.N. Starovoikov. Phase-transitions of liquid- liquid type with convection. Adv. Math. Sci. Appl., 8(1): 185- 198, 1998.
[5] R. Kobayashi. Modeling and numerical simulations of dendritic crystal growth. Physica D, 410-423, 1993.
Published
2023-04-03
Issue
pp. 403-412
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Blesgen, T. (2023). A fluid mechanical model for two-phase flows. Computer Assisted Methods in Engineering and Science, 7(3), 403-412. https://cames3.ippt.pan.pl/index.php/cames/article/view/1244
