Table of Contents Author Guidelines Submit a Manuscript
Journal of Engineering
Volume 2014, Article ID 793238, 14 pages
http://dx.doi.org/10.1155/2014/793238
Research Article

A Radiative Transfer Modeling Methodology in Gas-Liquid Multiphase Flow Simulations

Department of Chemical Engineering, University of North Dakota, Harrington Hall Room 323, 241 Centennial Drive Stop 7101, Grand Forks, ND 58202-7101, USA

Received 22 August 2014; Accepted 19 October 2014; Published 6 November 2014

Academic Editor: Abdullah A. Kendoush

Copyright © 2014 Gautham Krishnamoorthy et al. 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. J. Cai and M. F. Modest, “Absorption coefficient regression scheme for splitting radiative heat sources across phases in gas-particulate mixtures,” Powder Technology, vol. 265, pp. 76–82, 2014. View at Publisher · View at Google Scholar · View at Scopus
  2. G. Krishnamoorthy, M. Sami, S. Orsino, A. Perera, M. Shahnam, and E. D. Huckaby, “Radiation modelling in oxy-fuel combustion scenarios,” International Journal of Computational Fluid Dynamics, vol. 24, no. 3, pp. 69–82, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. P. von Zedtwitz, W. Lipiński, and A. Steinfeld, “Numerical and experimental study of gas-particle radiative heat exchange in a fluidized-bed reactor for steam-gasification of coal,” Chemical Engineering Science, vol. 62, no. 1-2, pp. 599–607, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. A. A. Adesina, “Industrial exploitation of photocatalysis: progress, perspectives and prospects,” Catalysis Surveys from Asia, vol. 8, no. 4, pp. 265–273, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. F. J. Trujillo, I. A. L. Lee, C. H. Hsu, T. Safinski, and A. A. Adesina, “Hydrodynamically-enhanced light intensity distribution in an externally-irradiated novel aerated photoreactor: CFD simulation and experimental studies,” International Journal of Chemical Reactor Engineering, vol. 6, article A58, 2008. View at Google Scholar · View at Scopus
  6. X. Li and N. Yang, “Modeling the light distribution in airlift photobioreactors under simultaneous external and internal illumination using the two-flux model,” Chemical Engineering Science, vol. 88, pp. 16–22, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. Z. C. Wheaton and G. Krishnamoorthy, “Modeling radiative transfer in photobioreactors for algal growth,” Computers and Electronics in Agriculture, vol. 87, pp. 64–73, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Viskanta and M. P. Mengüç, “Radiation heat transfer in combustion systems,” Progress in Energy and Combustion Science, vol. 13, no. 2, pp. 97–160, 1987. View at Publisher · View at Google Scholar · View at Scopus
  9. ANSYS, ANSYS FLUENT User's Guide, Version 12, ANSYS, Lebanon, NH, USA, 2010.
  10. S. Benyahia, M. Syamlal, and T. J. O'Brien, “Summary of MFIX Equations,” 2012, https://mfix.netl.doe.gov/documentation/MFIXEquations2012-1.pdf.
  11. G. E. Davis, “Scattering of light by an air bubble in water,” Journal of the Optical Society of America, vol. 45, no. 7, pp. 572–581, 1955. View at Publisher · View at Google Scholar
  12. X. Zhang, M. Lewis, and B. Johnson, “Influence of bubbles on scattering of light in the ocean,” Applied Optics, vol. 37, no. 27, pp. 6525–6536, 1998. View at Publisher · View at Google Scholar · View at Scopus
  13. H. Berberoglu, L. Pilon, and A. Melis, “Radiation characteristics of Chlamydomonas reinhardtii CC125 and its truncated chlorophyll antenna transformants tla1, tlaX and tla1-CW+,” International Journal of Hydrogen Energy, vol. 33, no. 22, pp. 6467–6483, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. J. L. Consalvi, B. Porterie, and J. C. Loraud, “A formal averaging procedure for radiation heat transfer in particulate media,” International Journal of Heat and Mass Transfer, vol. 45, no. 13, pp. 2755–2768, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. W. Lipiński, J. Petrasch, and S. Haussener, “Application of the spatial averaging theorem to radiative heat transfer in two-phase media,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 111, no. 1, pp. 253–258, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. A. V. Gusarov, “Homogenization of radiation transfer in two-phase media with irregular phase boundaries,” Physical Review B—Condensed Matter and Materials Physics, vol. 77, no. 14, Article ID 144201, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Q. Brewster and C. L. Tien, “Radiative transfer in packed fluidized beds: dependent versus independent scattering,” Journal of Heat Transfer, vol. 104, no. 4, pp. 573–579, 1982. View at Google Scholar · View at Scopus
  18. B. P. Singh and M. Kaviany, “Independent theory versus direct simulation of radiation heat transfer in packed beds,” International Journal of Heat and Mass Transfer, vol. 34, no. 11, pp. 2869–2882, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  19. M. V. Tabib, S. A. Roy, and J. B. Joshi, “CFD simulation of bubble column—an analysis of interphase forces and turbulence models,” Chemical Engineering Journal, vol. 139, no. 3, pp. 589–614, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. C. Laborde-Boutet, F. Larachi, N. Dromard, O. Delsart, and D. Schweich, “CFD simulation of bubble column flows: investigations on turbulence models in RANS approach,” Chemical Engineering Science, vol. 64, no. 21, pp. 4399–4413, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Simonnet, C. Gentric, E. Olmos, and N. Midoux, “CFD simulation of the flow field in a bubble column reactor: importance of the drag force formulation to describe regime transitions,” Chemical Engineering and Processing, vol. 47, no. 9-10, pp. 1726–1737, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. P. Chen, J. Sanyal, and M. P. Dudukovic, “CFD modeling of bubble columns flows: implementation of population balance,” Chemical Engineering Science, vol. 59, no. 22-23, pp. 5201–5207, 2004. View at Publisher · View at Google Scholar · View at Scopus
  23. P. Chen, J. Sanyal, and M. P. Dudukovic, “Numerical simulation of bubble columns flows: effect of different breakup and coalescence closures,” Chemical Engineering Science, vol. 60, no. 4, pp. 1085–1101, 2005. View at Publisher · View at Google Scholar · View at Scopus
  24. T. Wriedt, “Light scattering theories and computer codes,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 110, no. 11, pp. 833–843, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, New York, NY, USA, 1998.
  26. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, Cambridge University Press, Cambridge, Mass, USA, 2002.
  27. A. Perera, G. Krishnamoorthy, S. Orsino, and M. Sami, “The effect of radiative heat transfer on the accurate prediction of a coal fired boiler operating under oxy-fuel conditions,” in Proceedings of the 33rd International Technical Conference on Coal Utilization and Fuel Systems, Clearwater, Fla, USA, June 2008.
  28. G. M. Hansen, “Mie scattering as a technique for the sizing of air bubbles,” Applied Optics, vol. 2, pp. 3214–3220, 1985. View at Google Scholar
  29. H. Berberoglu, J. Yin, and L. Pilon, “Light transfer in bubble sparged photobioreactors for H2 production and CO2 mitigation,” International Journal of Hydrogen Energy, vol. 32, no. 13, pp. 2273–2285, 2007. View at Publisher · View at Google Scholar · View at Scopus
  30. A. Sánchez Mirón, A. Contreras Gómez, F. G. Camacho, E. M. Grima, and Y. Chisti, “Comparative evaluation of compact photobioreactors for large-scale monoculture of microalgae,” Journal of Biotechnology, vol. 70, no. 1–3, pp. 249–270, 1999. View at Publisher · View at Google Scholar · View at Scopus
  31. A. P. Carvalho, L. A. Meireles, and F. X. Malcata, “Microalgal reactors: a review of enclosed system designs and performances,” Biotechnology Progress, vol. 22, no. 6, pp. 1490–1506, 2006. View at Publisher · View at Google Scholar · View at Scopus
  32. R. N. Singh and S. Sharma, “Development of suitable photobioreactor for algae production—a review,” Renewable and Sustainable Energy Reviews, vol. 16, no. 4, pp. 2347–2353, 2012. View at Publisher · View at Google Scholar · View at Scopus
  33. S. Oncel and F. V. Sukan, “Comparison of two different pneumatically mixed column photobioreactors for the cultivation of Artrospira platensis (Spirulina platensis),” Bioresource Technology, vol. 99, no. 11, pp. 4755–4760, 2008. View at Publisher · View at Google Scholar · View at Scopus
  34. M. Janssen, J. Tramper, L. R. Mur, and R. H. Wijffels, “Enclosed outdoor photobioreactors: light regime, photosynthetic efficiency, scale-up, and future prospects,” Biotechnology and Bioengineering, vol. 81, no. 2, pp. 193–210, 2003. View at Publisher · View at Google Scholar · View at Scopus
  35. N. G. Deen, An experimental and computational study of fluid dynamics in gas-liquid chemical reactors [Ph.D. thesis], Aalborg University, Esbjerg, Denmark, 2001.
  36. R. Hansen, Computational and experimental study of bubble size in bubble columns [Ph.D thesis], Aalborg University, Esbjerg, Denmark, 2009.
  37. A. R. Kommareddy and G. A. Anderson, “Study of light as a parameter in the growth of algae in a photo-bio reactor (PBR),” ASAE Paper No. 034057. ASAE, St. Joseph, Mich, USA, 2003.
  38. N. G. Deen, T. Solberg, and B. H. Hjertager, “Large eddy simulation of the gas-liquid flow in a square cross-sectioned bubble column,” Chemical Engineering Science, vol. 56, no. 21-22, pp. 6341–6349, 2001. View at Publisher · View at Google Scholar · View at Scopus
  39. D. Zhang, N. G. Deen, and J. A. M. Kuipers, “Numerical simulation of the dynamic flow behavior in a bubble column: a study of closures for turbulence and interface forces,” Chemical Engineering Science, vol. 61, no. 23, pp. 7593–7608, 2006. View at Publisher · View at Google Scholar · View at Scopus
  40. P. Cornejo and O. Farías, “Mathematical modeling of coal gasification in a fluidized bed reactor using a eulerian granular description,” International Journal of Chemical Reactor Engineering, vol. 9, no. 1, article A2, 2011. View at Google Scholar · View at Scopus
  41. S. Cloete, S. Johansen, M. Braun, B. Popoff, and S. Amini, “Evaluation of a Lagrangian discrete phase modeling approach for resolving cluster formation in CFB risers,” in Proceedings of the 7th International Conference on Multiphase Flow, Tampa, Fla, USA, May-June 2010.
  42. M. F. Modest, Radiative Heat Transfer, Academic Press, New York, NY, USA, 2nd edition, 2003.
  43. Q. Fu and W. Sun, “Mie theory for light scattering by a spherical particle in an absorbing medium,” Applied Optics, vol. 40, no. 9, pp. 1354–1361, 2001. View at Publisher · View at Google Scholar · View at Scopus
  44. I. W. Sudiarta and P. Chylek, “Mie scattering efficiency of a large spherical particle embedded in an absorbing medium,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 70, pp. 709–714, 2001. View at Publisher · View at Google Scholar · View at Scopus
  45. I. W. Sudiarta and P. Chylek, “Mie-scattering formalism for spherical particles embedded in an absorbing medium,” Journal of the Optical Society of America A, vol. 18, no. 6, pp. 1275–1278, 2001. View at Publisher · View at Google Scholar · View at Scopus
  46. P. Nakod, G. Krishnamoorthy, M. Sami, and S. Orsino, “A comparative evaluation of gray and non-gray radiation modeling strategies in oxy-coal combustion simulations,” Applied Thermal Engineering, vol. 54, no. 2, pp. 422–432, 2013. View at Publisher · View at Google Scholar · View at Scopus