Table of Contents Author Guidelines Submit a Manuscript
International Journal of Chemical Engineering
Volume 2015 (2015), Article ID 925639, 14 pages
http://dx.doi.org/10.1155/2015/925639
Research Article

Numerical Investigation of Vertical Plunging Jet Using a Hybrid Multifluid–VOF Multiphase CFD Solver

1Department of Mathematical Sciences, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295, USA
2Chemical Sciences and Engineering Division, Argonne National Laboratory, Argonne, IL 60439, USA

Received 9 April 2015; Revised 21 June 2015; Accepted 28 June 2015

Academic Editor: Jerzy Bałdyga

Copyright © 2015 Olabanji Y. Shonibare and Kent E. Wardle. 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. K. E. Wardle and H. G. Weller, “Hybrid multiphase CFD solver for coupled dispersed/segregated flows in liquid-liquid extraction,” International Journal of Chemical Engineering, vol. 2013, Article ID 128936, 13 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. D. Ramkrishna and A. W. Mahoney, “Population balance modeling. Promise for the future,” Chemical Engineering Science, vol. 57, no. 4, pp. 595–606, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. D. L. Marchisio and R. O. Fox, “Solution of population balance equations using the direct quadrature method of moments,” Journal of Aerosol Science, vol. 36, no. 1, pp. 43–73, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Attarakih, M. Jaradat, C. Drumm et al., “Solution of the population balance equation using the one primary and one secondary particle method (OPOSPM),” in Proceedings of the 19th European Symposium on Computer Aided Process Engineering (ESCAPE '09), 2009.
  5. Y. Liao and D. Lucas, “A literature review of theoretical models for drop and bubble breakup in turbulent dispersions,” Chemical Engineering Science, vol. 64, no. 15, pp. 3389–3406, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. Y. Liao and D. Lucas, “A literature review on mechanisms and models for the coalescence process of fluid particles,” Chemical Engineering Science, vol. 65, no. 10, pp. 2851–2864, 2010. View at Publisher · View at Google Scholar · View at Scopus
  7. J. C. Lasheras, C. Eastwood, C. Martínez-Bazán, and J. L. Montaes, “A review of statistical models for the break-up an immiscible fluid immersed into a fully developed turbulent flow,” International Journal of Multiphase Flow, vol. 28, no. 2, pp. 247–278, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. S. Maaß, N. Paul, and M. Kraume, “Influence of the dispersed phase fraction on experimental and predicted drop size distributions in breakage dominated stirred systems,” Chemical Engineering Science, vol. 76, pp. 140–153, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. J. O. Hinze, “Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes,” AIChE Journal, vol. 1, no. 3, pp. 289–295, 1955. View at Publisher · View at Google Scholar
  10. K. E. Wardle, “Hybrid multiphase CFD simulation for liquid-liquid interfacial area prediction in annular centrifugal contactors,” in Proceedings of the Global 2013, p. 7650, Salt Lake City, Utah, USA, September 2013.
  11. G. Cerne, S. Petelin, and I. Tiselj, “Coupling of the interface tracking and the two-fluid models for the simulation of incompressible two-phase flow,” Journal of Computational Physics, vol. 171, no. 2, pp. 776–804, 2001. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Štrubelj and I. Tiselj, “Two-fluid model with interface sharpening,” International Journal for Numerical Methods in Engineering, vol. 85, no. 5, pp. 575–590, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. X. L. Qu, L. Khezzar, D. Danciu, M. Labois, and D. Lakehal, “Characterization of plunging liquid jets: a combined experimental and numerical investigation,” International Journal of Multiphase Flow, vol. 37, no. 7, pp. 722–731, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Zidouni Kendil, D. V. Danciu, M. Schmidtke et al., “Flow field assessment under a plunging liquid jet,” Progress in Nuclear Energy, vol. 56, pp. 100–110, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. S. S. Deshpande, M. F. Trujillo, X. Wu, and G. Chahine, “Computational and experimental characterization of a liquid jet plunging into a quiescent pool at shallow inclination,” International Journal of Heat and Fluid Flow, vol. 34, pp. 1–14, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. M. Schmidtke and D. Lucas, “CFD approaches for modelling bubble entrainment by an impinging jet,” Science and Technology of Nuclear Installations, vol. 2009, Article ID 148436, 12 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Hänsch, D. Lucas, E. Krepper, and T. Höhne, “A multi-field two-fluid concept for transitions between different scales of interfacial structures,” International Journal of Multiphase Flow, vol. 47, pp. 171–182, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. E. Krepper, D. Lucas, T. Frank, H.-M. Prasser, and P. J. Zwart, “The inhomogeneous MUSIG model for the simulation of polydispersed flows,” Nuclear Engineering and Design, vol. 238, no. 7, pp. 1690–1702, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. K. Yan and D. Che, “A coupled model for simulation of the gas–liquid two-phase flow with complex flow patterns,” International Journal of Multiphase Flow, vol. 36, no. 4, pp. 333–348, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. H. G. Weller, “A new approach to VOF-based interface capturing methods for incompressible and compressible flow,” Tech. Rep., OpenCFD, 2008. View at Google Scholar
  21. L. Schiller and Z. Naumann, “A drag coefficient corellation,” Zeitschrift des Vereines Deutscher Ingenieure, vol. 77, article 318, 1935. View at Google Scholar
  22. J. U. Brackbill, D. B. Kothe, and C. Zemach, “A continuum method for modeling surface tension,” Journal of Computational Physics, vol. 100, no. 2, pp. 335–354, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. H. Marschall and O. Hinrichsen, “Numerical simulation of multi-scale two-phase flows using a hybrid interface-resolving two-uid model (HIRES-TFM),” Journal of Chemical Engineering of Japan, vol. 46, no. 8, pp. 517–523, 2013. View at Publisher · View at Google Scholar · View at Scopus
  24. C. Drumm, M. Attarakih, M. W. Hlawitschka, and H.-J. Bart, “One-group reduced population balance model for CFD simulation of a pilot-plant extraction column,” Industrial and Engineering Chemistry Research, vol. 49, no. 7, pp. 3442–3452, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. C. Martínez-Bazán, J. L. Montañés, and J. C. Lasheras, “On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency,” Journal of Fluid Mechanics, vol. 401, pp. 157–182, 1999. View at Publisher · View at Google Scholar · View at Scopus
  26. M. J. Prince and H. W. Blanch, “Bubble coalescence and break-up in air-sparged bubble columns,” AIChE Journal, vol. 36, no. 10, pp. 1485–1499, 1990. View at Publisher · View at Google Scholar · View at Scopus
  27. Y. Sano, A. Sakamoto, H. Ogino et al., “Fluidic analysis in an annular centrifugal contactor for fuel reprocessing,” in Proceedings of the International Conference on Fast Reactors and Related Fuel Cycles (FR '13), 2013.
  28. V. R. Gopala and B. G. M. van Wachem, “Volume of fluid methods for immiscible-fluid and free-surface flows,” Chemical Engineering Journal, vol. 141, no. 1–3, pp. 204–221, 2008. View at Publisher · View at Google Scholar · View at Scopus
  29. M. M. Francois, S. J. Cummins, E. D. Dendy, D. B. Kothe, J. M. Sicilian, and M. W. Williams, “A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework,” Journal of Computational Physics, vol. 213, no. 1, pp. 141–173, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  30. A. Q. Raeini, M. J. Blunt, and B. Bijeljic, “Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method,” Journal of Computational Physics, vol. 231, no. 17, pp. 5653–5668, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  31. L. Štrubelj, I. Tiselj, and B. Mavko, “Simulations of free surface flows with implementation of surface tension and interface sharpening in the two-fluid model,” International Journal of Heat and Fluid Flow, vol. 30, no. 4, pp. 741–750, 2009. View at Publisher · View at Google Scholar · View at Scopus
  32. L. Štrubelj and I. Tiselj, “Numerical simulations of basic interfacial instabilities with incompressible two-fluid model,” Nuclear Engineering and Design, vol. 241, no. 4, pp. 1018–1023, 2011. View at Publisher · View at Google Scholar · View at Scopus
  33. G. Erne, S. Petelin, and I. Tiselj, “Numerical errors of the volume-of-fluid interface tracking algorithm,” International Journal for Numerical Methods in Fluids, vol. 38, no. 4, pp. 329–350, 2002. View at Publisher · View at Google Scholar · View at Scopus
  34. H. Tang and L. C. Wrobel, “Modelling the interfacial flow of two immiscible liquids in mixing processes,” International Journal of Engineering Science, vol. 43, no. 15-16, pp. 1234–1256, 2005. View at Publisher · View at Google Scholar · View at Scopus
  35. N. Hecht, J. Reveillon, and F. Demoulin, “Towards general purpose LES model of injection and atomization,” in Proceedings of the 26th European Conference on Liquid Atomization & Sprays (ILASS '14), 2014.
  36. S. S. Deshpande, L. Anumolu, and M. F. Trujillo, “Evaluating the performance of the two-phase flow solver interfoam,” Computational Science and Discovery, vol. 5, no. 1, Article ID 014016, 2012. View at Publisher · View at Google Scholar · View at Scopus
  37. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles, Courier Dover Publications, 2005.
  38. J. Smagorinsky, “General circulation experiments with the primitive equations: I. the basic experiment,” Monthly Weather Review, vol. 91, no. 3, pp. 91–164, 1963. View at Publisher · View at Google Scholar
  39. H. E. A. Van den Akker, “Toward a truly multiscale computational strategy for simulating turbulent two-phase flow processes,” Industrial and Engineering Chemistry Research, vol. 49, no. 21, pp. 10780–10797, 2010. View at Publisher · View at Google Scholar · View at Scopus
  40. S. B. Pope, “Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation,” Combustion Theory and Modelling, vol. 1, no. 1, pp. 41–63, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  41. K. E. Wardle, “Open-source CFD simulations of Liquid-Liquid flow in the annular centrifugal contactor,” Separation Science and Technology, vol. 46, no. 15, pp. 2409–2417, 2011. View at Publisher · View at Google Scholar · View at Scopus