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In this paper, a numerical study is performed in order to investigate the effect of the liquid phase compressibility two-fluid model. The two-fluid model is solved by using conservative shock capturing method. At the first, the two-fluid model is applied by assuming that the liquid phase is incompressible, then it is assumed that in three cases called water faucet case, large relative velocity shock pipe case, and Toumi’s shock pipe case, the liquid phase is compressible. Numerical results indicate that, if an intense pressure gradient is governed on the fluid-flow, single-pressure two-fluid model by assuming liquid phase incompressibility predicts the flow variables in the solution field more accurate than single-pressure two-fluid model by assuming liquid phase compressibility.
PAPER REVISED: 2018-04-28
PAPER ACCEPTED: 2018-05-06
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 5, PAGES [3003 - 3013]
  1. Omgba-Essama, C., Numerical modelling of transient gas-liquid flows (application to stratified & slug flow regimes), Ph. D. Thesis, Cranfield University, England, 2004
  2. Ishii, M., Thermo-Fluid Dynamic Theory of Two-Phase Flow, Eyrolles, Paris, France, 1975
  3. Ishii, M., Mishima, K., Two-fluid model and hydrodynamic constitutive relations, Nuclear Engineering and design, 82(1984), 2, pp. 107-126
  4. Stuhmiller, J., The influence of interfacial pressure forces on the character of two-phase flow model equations, International Journal of Multiphase Flow, 3(1977), 6, pp. 551-560
  5. Pauchon, C., Banerjee, S., Interphase momentum interaction effects in the averaged multifield model: Part I: Void propagation in bubbly flows, International journal of multiphase flow, 12(1986), 4, pp. 559-573
  6. Ransom, V. H., Hicks, D. L., Hyperbolic two-pressure models for two-phase flow, Journal of Computational Physics, 53(1984), 1, pp. 124-151
  7. Saurel, R., Abgrall, R., A multiphase Godunov method for compressible multifluid and multiphase flows, Journal of Computational Physics, 150(1999), 2, pp. 425-467
  8. Cortes, J., et al., A density perturbation method to study the eigenstructure of two-phase flow equation systems, Journal of Computational Physics, 147(1998), 2, pp. 463-484
  9. Song, J. H., Ishii, M., The well-posedness of incompressible one-dimensional two-fluid model, International Journal of Heat and Mass Transfer, 43(2000), 12, pp. 2221-2231
  10. Evje, S., Flåtten, T., Hybrid flux-splitting schemes for a common two-fluid model, Journal of Computational Physics, 192(2003), 1, pp. 175-210
  11. Issa, R., Kempf, M., Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model, International journal of multiphase flow, 29(2003), 1, pp. 69-95
  12. Liao, J., et al., A Study on Numerical Instability of Inviscid Two-Fluid Model Near Ill-Posedness Condition, in Proceeding of American Society of Mechanical Engineers, Sun Francisco, California, USA, 2005, No. HT2005-72652, pp. 533-541
  13. Issa, R., et al., Improved closure models for gas entrainment and interfacial shear for slug flow modelling in horizontal pipes, International journal of multiphase flow, 32(2006), 10, pp. 1287-1293
  14. Hanyang, G., Liejin, G., Stability of Stratified Gas-Liquid Flow in Horizontal and Near Horizontal Pipes** Supported by the National Natural Science Foundation of China (No. 50521604) and Shanghai Jiao Tong University Young Teacher Foundation, Chinese Journal of Chemical Engineering, 15(2007), 5, pp. 619-625
  15. Ansari, M., Shokri, V., New algorithm for the numerical simulation of two-phase stratified gas-liquid flow and its application for analyzing the Kelvin-Helmholtz instability criterion with respect to wavelength effect, Nuclear Engineering and Design, 237(2007), 24, pp. 2302-2310
  16. Holmås, H., et al., Analysis of a 1D incompressible two-fluid model including artificial diffusion, IMA journal of applied mathematics, 73(2008), 4, pp. 651-667
  17. Holmås, H., Numerical simulation of transient roll-waves in two-phase pipe flow, Chemical Engineering Science, 65(2010), 5, pp. 1811-1825
  18. Ansari, M., Shokri, V., Numerical modeling of slug flow initiation in a horizontal channels using a two-fluid model, International Journal of Heat and Fluid Flow, 32(2011), 1, pp. 145-155
  19. Ansari, M., Daramizadeh, A., Slug type hydrodynamic instability analysis using a five equations hyperbolic two-pressure, two-fluid model, Ocean Engineering, 52(2012), pp. 1-12
  20. Zeng, Q., et al., Comparison of implicit and explicit AUSM‐family schemes for compressible multiphase flows, International Journal for Numerical Methods in Fluids, 77(2015), 1, pp. 43-61
  21. Shokri, V., Esmaeili, K., Comparison of the effect of hydrodynamic and hydrostatic models for pressure correction term in two-fluid model in gas-liquid two-phase flow modeling, Journal of Molecular Liquids, 237(2017), pp. 334-346
  22. Paillere, H., et al., On the extension of the AUSM+ scheme to compressible two-fluid models, Computers & Fluids, 32(2003), 6, pp. 891-916
  23. Li, G., et al., Gas reservoir evaluation for underbalanced horizontal drilling, Thermal Science, 18(2014), 5, pp. 1691-1694
  24. Evje, S., Flåtten, T., Hybrid central-upwind schemes for numerical resolution of two-phase flows, ESAIM: Mathematical Modelling and Numerical Analysis, 39(2005), 2, pp. 253-273
  25. Wang, Z., et al., Numerical Simulation of One-Dimensional Two-Phase Flow Using a Pressure-Based Algorithm, Numerical Heat Transfer, Part A: Applications, 68(2015), 4, pp. 369-387
  26. Toro, E. F., Riemann solvers and numerical methods for fluid dynamics: a practical introduction: Springer Science & Business Media, 2013
  27. Hirsch, H., Numerical computation of internal and external flows, Computational methods for inviscid and viscous flows, Wiley InterScience, Brussels, Belgium, 1990
  28. Coquel, F., et al., A numerical method using upwind schemes for the resolution of two-phase flows, Journal of Computational Physics, 136(1997), 2, pp. 272-288
  29. Ransom, V., Numerical benchmark test no. 2. 3: expulsion of steam by sub-cooled water, Multiphase science and technology, 3(1987), 1-4, pp. 124-150
  30. Toumi, I., An upwind numerical method for two-fluid two-phase flow models, Nuclear Science and Engineering, 123(1996), 2, pp. 147-168

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