JOURNAL BROWSE
Search
Advanced SearchSearch Tips
STABILITY OF TWO-PHASE FLOW MODELS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
STABILITY OF TWO-PHASE FLOW MODELS
Jin, Hyeon-Seong;
  PDF(new window)
 Abstract
In this paper, we study two-phase flow models. The chunk mix model of the two-phase flow equations is analyzed by a characteristic analysis. The model discussed herein has real characteristic values for all physically acceptable states and except for a set of measure zero has a complete set of characteristic vectors in state space.
 Keywords
multiphase flow;hyperbolic models;closures;stability;
 Language
English
 Cited by
 References
1.
W. Bo, B. Cheng, J. Du, B. Fix, E. George, J. Glimm, J. Grove, X. Jia, H. Jin, H. Lee, Y. Li, X. Li, X. Liu, D. H. Sharp, L. Wu, and Yan Yu, Recent progress in the stochastic analysis of turbulent mixing, Contemporary Mathematics 429 (2007), 33-44 crossref(new window)

2.
W. Bo, H. Jin, D. Kim, X. Liu, H. Lee, N. Pestieau, Y. Yan, J. Glimm, and J. Grove, Multi phase flow models, Phys. Rev. E, Submitted, Stony Brook University Preprint Number SUNYSB-AMS-07-02, 2007

3.
Y. Chen, J. Glimm, D. H. Sharp, and Q. Zhang, A two-phase flow model of the RayleighTaylor mixing zone, Phys. Fluids 8 (1996), no. 3, 816-825 crossref(new window)

4.
B. Cheng, J. Glimm, X. L. Li, and D. H. Sharp, Subgrid models and DNS studies of fluid mixing, In E. Meshkov, Y. Yanilkin, and V. Zhmailo, editors, Proceedings of the 7th International Conference on the Physics of Compressible Turbulent Mixing, (1999), pages 385-390, Sarov, Nizhny Novgorod region, Russia, 2001

5.
D. A. Drew, Mathematical modeling of two-phase flow, Ann. Rev. Fluid Mech. 15 (1983), 261-291 crossref(new window)

6.
E. George, J. Glimm, X. L. Li, A. Marchese, and Z. L. Xu, A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates, Proc. National Academy of Sci. 99 (2002), 2587-2592 crossref(new window)

7.
J. Glimm and H. Jin, An asymptotic analysis of two-phase fluid mixing, Bol. Soc. Bras. Mat. 32 (2001), 213-236 crossref(new window)

8.
J. Glimm, H. Jin, M. Laforest, F. Tangerman, and Y. Zhang, A two pressure numerical model of two fluid mixing, Multiscale Model. Simul. 1 (2003), 458-484 crossref(new window)

9.
J. Glimm, D. Saltz, and D. H. Sharp, Two-pressure two-phase flow, In G.-Q. Chen, Y. Li, and X. Zhu, editors, Nonlinear Partial Differential Equations, pages 124-148, World Scientific, Singapore, 1998

10.
J. Glimm, D. Saltz, and D. H. Sharp, Two-phase modeling of a fluid mixing layer, J. Fluid Mech. 378 (1999), 119-143 crossref(new window)

11.
H. Jin, The incompressible limit of compressible multiphase flow equations, Ph. D. thesis, SUNY at Stony Brook, 2001

12.
H. Jin, A study of multi-phase flow models, Submitted

13.
H. Jin , J. Glimm, and D. H. Sharp, Compressible two-pressure two-phase flow models, Phys. Lett. A 353 (2006), 469-474 crossref(new window)

14.
H. Jin, A study of multi-phase flow models, Submitted Entropy of averaging for compressible two-pressure two-phase models, Phys. Lett. A 360 (2006), 114-121 crossref(new window)

15.
H. Jin, X. F. Liu, T. Lu, B. Cheng, J. Glimm, and D. H. Sharp, Rayleigh-Taylor mixing rates for compressible flow, Phys. Fluids 17 (2005) crossref(new window)

16.
W. D. McComb, The Physics of Fluid Turbulence, Oxford University Press, Oxford, 1990

17.
V. H. Ransom and D. L. Hicks, Hyperbolic two-pressure models for two-phase flow, J. Comp. Phys. 53 (1984), 124-151 crossref(new window)

18.
V. H. Ransom and M. P. Scofield, Two-pressure hydrodynamic model for two-phase separated flow, Report SRD-50-76, INEL, 1967

19.
D. Saltz, W. Lee, and T.-R. Hsiang, Two-phase flow analysis of unstable fluid mixing in one-dimensional geometry, Phy. Fluids 12 (2000), no. 10, 2461-2477 crossref(new window)

20.
H. B. Stewart and B. Wendroff, Two-phase flow: Models and methods, J. Comp. Phys, 56 (1984), 363-409 crossref(new window)

21.
B. Wendroff, Two-fluid models: A critical survey, Los Alamos Scientific Laboratory, LA-UR-79-291,1979

22.
D. L. Youngs, Numerical simulation of turbulent mixing by Rayleigh-Taylor' instability, Physica D 12 (1984), 32-44 crossref(new window)