Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2010 (2010), Article ID 476839, 19 pages
http://dx.doi.org/10.1155/2010/476839
Research Article

A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation

Department of Mechanical and Aerospace Engineering, The Ohio State University, 201 West 19th Avenue, Columbus, OH 43210, USA

Received 6 April 2010; Accepted 8 October 2010

Academic Editor: A. A. Soliman

Copyright © 2010 Xia Wang and Xiaodong Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Safety Code Development Group, “TRAC-PF1/MOD1, an advanced best-estimate computer program for pressurized water reactor thermal-hydraulic analysis,” NUREG/CR-3858 LA-10157-MS, Los Alamos National Laboratory, 1986. View at Google Scholar
  2. RELAP5 Code Development Team, “RELAP5/MOD3 Code manual,” NUREG/CR-5535 INEL-95/0174, Idaho National Engineering Laboratory, 1995. View at Google Scholar
  3. G. Kocamustafaogullari and M. Ishii, “Foundation of the interfacial area transport equation and its closure relations,” International Journal of Heat and Mass Transfer, vol. 38, no. 3, pp. 481–493, 1995. View at Google Scholar · View at Scopus
  4. Q. Wu, S. Kim, M. Ishii, and S. G. Beus, “One-group interfacial area transport in vertical bubbly flow,” International Journal of Heat and Mass Transfer, vol. 41, no. 8-9, pp. 1103–1112, 1998. View at Google Scholar · View at Scopus
  5. X. Fu, Interfacial area measurement and transport modeling in air-water two-phase flow, Ph.D. thesis, School of Nuclear Engineering, Purdue University, West Lafayette, Ind, USA, 2001.
  6. M. Ishii and S. Kim, “Development of one-group and two-group interfacial area transport equation,” Nuclear Science and Engineering, vol. 146, no. 3, pp. 257–273, 2004. View at Google Scholar · View at Scopus
  7. X. Sun, S. Kim, M. Ishii, and S. G. Beus, “Modeling of bubble coalescence and disintegration in confined upward two-phase flow,” Nuclear Engineering and Design, vol. 230, no. 1–3, pp. 3–26, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Ishii and X. Sun, “Interfacial characteristics of two-phase flow,” Multiphase Science and Technology, vol. 18, no. 1, pp. 1–29, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Vasavada, Interfacial area transport equation for reduced-gravity two-phase flows, Ph.D. thesis, School of Nuclear Engineering, Purdue University, West Lafayette, Ind, USA, 2008.
  10. D. Gidaspow, “Modeling of two phase flow,” in Proceedings of the 5th International Heat Transfer Conference, vol. 7, pp. 163–168, Tokyo, Japan, 1974.
  11. A. V. Jones and A. Prosperetti, “On the suitability of first-order differential models for two-phase flow prediction,” International Journal of Multiphase Flow, vol. 11, no. 2, pp. 133–148, 1985. View at Google Scholar · View at Scopus
  12. H. Pokharna, M. Mori, and V. H. Ransom, “Regularization of two-phase flow models: a comparison of numerical and differential approaches,” Journal of Computational Physics, vol. 134, no. 2, pp. 282–295, 1997. View at Publisher · View at Google Scholar · View at Scopus
  13. T. N. Dinh, R. R. Nourgaliev, and T. G. Theofanous, “Understanding the ill-posed two-fluid model,” in Proceedings of the 10th International Topical Meeting on Nuclear Reactor Thermal-Hydraulics (NURETH '03), Seoul, Republic of Korea, 2003.
  14. W. T. Hancox, R. L. Ferch, W. S. Liu, and R. E. Nieman, “One-dimensional models for transient gas-liquid flows in ducts,” International Journal of Multiphase Flow, vol. 6, no. 1-2, pp. 25–40, 1980. View at Google Scholar · View at Scopus
  15. R. T. Lahey Jr., L. Y. Cheng, D. A. Drew, and J. E. Flaherty, “The effect of virtual mass on the numerical stability of accelerating two-phase flows,” International Journal of Multiphase Flow, vol. 6, no. 4, pp. 281–294, 1980. View at Publisher · View at Google Scholar · View at Scopus
  16. N. Brauner and D. M. Maron, “Stability analysis of stratfied liquid-liquid flow,” International Journal of Multiphase Flow, vol. 18, no. 1, pp. 103–121, 1992. View at Google Scholar · View at Scopus
  17. M.-S. Chung, “Characteristic development of hyperbolic two-dimensional two-fluid model for gas-liquid flows with surface tension,” Applied Mathematical Modelling, vol. 31, no. 3, pp. 578–588, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. F. H. Harlow and D. Besnard, “Well-posed two-phase flow equations with turbulence transport,” Letters in Mathematical Physics, vol. 10, no. 2-3, pp. 161–166, 1985. View at Publisher · View at Google Scholar · View at Scopus
  19. A. L. Zanotti, C. G. Méndez, N. M. Nigro, and M. Storti, “A preconditioning mass matrix to avoid the III-posed two-fluid model,” Journal of Applied Mechanics, Transactions ASME, vol. 74, no. 4, pp. 732–740, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. J. H. Song and M. Ishii, “The well-posedness of incompressible one-dimensional two-fluid model,” International Journal of Heat and Mass Transfer, vol. 43, no. 12, pp. 2221–2231, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Ishii and N. Zuber, “Drag coefficient and relative velocity in bubbly, droplet or particulate flows,” AIChE Journal, vol. 25, no. 5, pp. 843–855, 1979. View at Google Scholar · View at Scopus
  22. M. Ishii and K. Mishima, “Two-fluid model and hydrodynamic constitutive relations,” Nuclear Engineering and Design, vol. 82, no. 2-3, pp. 107–126, 1984. View at Google Scholar · View at Scopus
  23. J. H. Song, “A remedy for the ill-posedness of the one-dimensional two-fluid model,” Nuclear Engineering and Design, vol. 222, no. 1, pp. 40–53, 2003. View at Publisher · View at Google Scholar · View at Scopus
  24. J. Song and M. Ishii, “One-dimensional two-fluid model with momentum flux parameters,” Nuclear Engineering and Design, vol. 205, no. 1-2, pp. 145–158, 2001. View at Publisher · View at Google Scholar · View at Scopus