A fluid mechanical model for two-phase flows

• Autorzy: Blesgen T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fluid mechanics; two-phase flow

PL

mechanika płynów; przepływ dwufazowy

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2000
• Tom: Vol. 7, No. 3
• Strony: 403--412
• Opis fizyczny: Bibliogr. 6 poz., rys., tab.

Twórcy

autor

Blesgen T.

• Universität Leipzig, Fakultät für Mathematik u. Informatik, Augustusplatz 10/11, D-04109 Leipzig, Germany

Bibliografia

• [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. Villa's. 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.
• [6] A. A. Kostikov. The thermodiffusion Stefan problem in the presense of convection (translation from Russian). Ukr. Math. J., 44(2): 236-240, 1992.