A fluid mechanical model for two-phase flows

  • Thomas Blesgen Universität Leipzig

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.

Keywords

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.
Published
Apr 3, 2023
How to Cite
BLESGEN, Thomas. A fluid mechanical model for two-phase flows. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 3, p. 403-412, apr. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1244>. Date accessed: 03 july 2024.
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Vol 7 No 3 (2000)
Section
Articles
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