THERMAL SCIENCE

International Scientific Journal

External Links

A COMPARISON BETWEEN THE PRESENCE AND ABSENCE OF VIRTUAL VISCOSITY IN THE BEHAVIOUR OF THE TWO PHASE FLOW INTERFACE

ABSTRACT
In this paper, a numerical study is performed in order to investigate the effect of the virtual viscosity on simulation of separated two-phase flow of gas-liquid. The governing equations solved by shock capturing method which can provide predicting the interface without the flow field solving. In this work, in order to calculate the numerical flux term, first-order centered scheme (Force scheme) was applied cause of its accuracy and appropriate validation. Analysis approves that the obtained stability range of this research is consistent with the classic Kelvin- Helmholtz instability equation only for the long wavelength with small amplitude. Results reveal that when the wavelengths are reduced, the specified range is not consistent and wavelength effects on instability range and it is overpredicted. An algorithm for water faucet problem was developed in FORTRAN language. Short wavelength perturbations induce unbounded growth rates and make it impossible to achieve converging solutions. The approach taken in this article has been to adding virtual viscosity as a CFD technique, is used to remedy this deficiency.
KEYWORDS
PAPER SUBMITTED: 2020-08-01
PAPER REVISED: 2021-02-20
PAPER ACCEPTED: 2021-02-24
PUBLISHED ONLINE: 2021-05-16
DOI REFERENCE: https://doi.org/10.2298/TSCI200801163A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 2, PAGES [1331 - 1343]
REFERENCES
  1. Bratland, O., Pipe Flow 2: Multi-phase Flow Assurance, Dr Ove Bratland Systems Pte. Ltd., 2013
  2. Shokri, V. and Esmaeili, K., Effect of liquid phase compressibility on modeling of gas-liquid two-phase flows using two-fluid model, THERMAL SCIENCE, 23 (2019), 5, pp. 3003-3013
  3. Bertola, V., MODELLING AND EXPERIMENTATION IN TWO-PHASE FLOW, Springer-Verlag Wien, 2003
  4. Ansari, M. and Daramizadeh, A., Slug type hydrodynamic instability analysis using a five equations hyperbolic two-pressure, two-fluid model, Ocean Engineering, 52 (2012), pp. 1-12
  5. Yadigaroglu, G. and Hewitt, G., Introduction to Multiphase Flow, Springer International Publishing, 2017
  6. Shokri, V. and 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 modelling, Journal of Molecular Liquids, 237 (2017), pp. 334-346
  7. Essama, O.C., Numerical Modelling of Transient Gas-liquid Flows (Application to Stratified & Slug Flow Regimes), Ph. D. thesis , Department of Applied Mathematics and Computing Group, Cranfield University, Cranfield,UK, 2004
  8. Bahramian, A. and Elyasi, S., One-dimensional drift-flux model and a new approach to calculate drift velocity and gas holdup in bubble columns, Chemical Engineering Science, 211 (2020), pp. 115302
  9. Bertodano, M., Fullmer, W., Clausse, A. and Ransom, V., Two Fluid Model Stability Simulation and Chaos, Springer International Publishing, 2017
  10. Ishii, M. and Mishima, K., Two-fluid model and hydrodynamic constitutive relations, Nuclear Engineering and design, 82 (1984), 2, pp.107-126
  11. Issa, R. and Kempf, M., Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model, International journal of multiphase flow, 29 (2003), pp. 69-95
  12. Jones, V., Prosperetti, A. On the suitability of first-order differential models for two-phase flow prediction, International Journal of Multiphase Flow, 11 (1985), pp. 133-148
  13. Watson, M., Non-linear Waves in Pipeline Two-phase Flows, Proceeding 3rd International Conference on Hyperbolic Problems, Sweden, (1990), pp. 11-15
  14. Ransom, V. and Hicks, D., Hyperbolic two-pressure models for two-phase flow, Journal of Computational Physics, 53 (1984), pp. 124-151
  15. Saurel, R. and Abgrall, R.A., Multiphase Godunov method for compressible multifluid and multiphase flows, Journal of Computational Physics, 150 (1999), pp. 425-467
  16. Wallis, G. B., One-dimensional two-phase flow, McGraw-Hill, New York, USA, 1969
  17. Zolfaghary Azizia, H., Naghashzadegana, M., Shokri, V., The Impact of the Order of Numerical Schemes on Slug Flows Modeling, THERMAL SCIENCE, 23 (2019), pp. 3855-3864
  18. Zolfaghary Azizia, H., Naghashzadegana, M., Shokri, V., Comparison of the hyperbolic range of two-fluid models on two-phase gas -liquid flows, International Journal of Engineering, 31 (2018), 1, pp. 144-156
  19. Barnea, D. and Taitel, Y., Interfacial and structural stability of separated flow, International journal of multiphase flow, 20 (1994), pp. 387-414
  20. Mouallem, J. , Niaki, Seyed R. A. , Chavez‐Cussy, Norman. , Milioli, Christian C. , Milioli, Fernando E., Some accuracy related aspects in two‐fluid hydrodynamic sub‐grid modeling of gas-solid riser flows, AIChE Journal, 66 (2019), 1.
  21. Ansari, M. and 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), pp. 145-155
  22. Montini, M., Closure relations of the one-dimensional two-fluid model for the simulation of slug flows, Ph.D. Thesis, Department of Mechanical Engineering, Imperial College London , UK, 2011
  23. White, F., Viscous Fluid Flow , McGraw-Hill Education; 3 edition , 2005
  24. Conte, MG., Cozin, C., Barbuto, FA., Morales, RE., A two-fluid model for slug flow initiation based on a lagrangian scheme, Proceeding of the American society of mechanical engineers, Chicago, Illinois, USA , 2014, pp. V002T20A003-V002T20A003
  25. Taitel, Y. and Dukler, A., A model for predicting flow regime transitions in horizontal and near horizontal gas‐liquid flow, AICHE Journal, 22 (1976), 1, pp. 47-55
  26. Woodburn, P.J., Issa, R.J., Well-posedness of one-dimensional transient, two-fluid models of two-phase flows, 3rd International Symposium on Mulitphase Flow, ASME Fluids Engineering Division Summer Meeting, Washington, USA, 1998
  27. Anderson, J.D, Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, 1995
  28. Hoffmann, K. and Chiang, S., Computational Fluid Dynamics, Publication of Engineering Education System,Wichita, Kansas, USA, 2000
  29. Pletcher, R., Tannehill, J., Anderson, D.A, Computational Fluid Mechanics and Heat Transfer, Taylor & Francis Group, 2013
  30. Toro, E., Riemann solvers and numerical methods for fluid dynamics: a practical introduction, Springer International Publishing, 2009
  31. Hirsch, H., Numerical computation of internal and external flows, Computational methods for inviscid and viscous flows , 2 (1990), pp. 536-556
  32. Glowinski, R., Osher, S.J., Yin, W., Splitting Methods in Communication, Imaging, Science, and Engineering, Springer International Publishing Switzerland, 2016
  33. LEVEQUE, R. J., Finite Volume Methods for Hyperbolic Problems. Cambridge, UK: Cambridge University Press, 2002
  34. Evje, S. and Flåtten, T., Hybrid central-upwind schemes for numerical resolution of twophase flows, ESAIM:Mathematical Modelling and Numerical Analysis, 39 (2005), 2, pp.253-273

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence