**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31103

##### Computational Fluid Dynamics Modeling of Downward Bubbly Flows

**Authors:**
Mahmood Reza Rahimi,
Hajir Karimi

**Abstract:**

**Keywords:**
CFD,
bubbly flow,
Vertical pipe,
Population
balance modeling,
Gas void fraction,
Liquid velocity,
Normal
turbulent stresses

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1079714

**References:**

[1] H. Karimi, M. R. Rahimi, "A Robust Classification method for the Prediction of Two Phase Flow Pattern, using Ensemble Classifiers Technique," in proc. 11th Int. Conf. on Multiphase Flow in Industrial Plants, Palermo, 2008, pp. 443-451.

[2] H. Hulburt, S.Katz, "Some Problems in Particle Technology: a Statistical Mechanical Formulation," Chem. Eng. Sci, vol. 19, 555, 1964.

[3] G. Kocamustafaogullari, M. Ishii, "Foundation of the interfacial area transport equation and its closure relations," Int. J. Heat Mass Trans, vol. 38 (3), pp. 481-493, 1995.

[4] T. Wang, J. Wang, and Y. Jin, "Population Balance Model for Gas−Liquid Flows: Influence of Bubble Coalescence and Breakup Models," Ind. Eng. Chem. Res., vol. 44, 19, 2005.

[5] T. Hibiki, M. Ishii, Z. Xiao, "Axial interfacial area transport of vertical bubble flows," Int. J. Heat Mass Trans, vol. 44, pp 1869-1888, 2001.

[6] T. Hibiki, M. Ishii, "Development of one-group interfacial area transport equation in bubbly flow systems," Int. J. Heat Mass Trans., vol. 45, pp. 2351-2372, 2002.

[7] K. Ekambara, R.S. Sanders, K. Nandakumar, J.H. Masliyah, "CFD simulation of bubbly two-phase flow in horizontal pipes," Chem. Eng. J., vol. 144, pp. 277-288, 2008.

[8] C.P. Cheung, G.H. Yeoh,, J.Y. Tu, "On the modeling of population balance in isothermal vertical bubbly flows - Average bubble number density approach," Chem. Eng. Process., vol. 46, pp. 742-756, 2007.

[9] S. Sar─▒, S. Erg├╝n, M. Bar─▒k, C. Kocar, C. N. Sökmen, "Modeling of isothermal bubbly flow with ─▒nterfacial area transport equation and bubble number density approach," Annals of Nuclear Energy , vol. 36, pp. 222-232, 2009.

[10] S. K. Wang, S. J. Lee, O. C. Jones and R. T. Lahey, "3-D turbulece structure and phase distribution measurements in bubbly two-phase flows," Int. J. Multiphase flow, Vol. 13, pp. 327-343, 1987.

[11] Y. Sato, M. Sadatomi, K. Sekoguchi, "Momentum and heat transfer in two-phase bubbly flowÔÇöI," International Journal of Multiphase Flow, vol. 7, pp. 167-178, 1981.

[12] A. Serizawa, I. Kataoka, "Phase distribution in two-phase flow. In: Afgan, N.H. (Ed.), Transient Phenomena in Multiphase Flow. Washington, DC, pp. 179-224, 1988.

[13] H. Luo, H. Svendsen, "Theoretical model for drop and bubble break-up in turbulent dispersions, AIChE J., vol. 42, pp. 1225-1233, 1996.

[14] M.J. Prince, H.W. Blanch, "Bubble coalescence and break-up in air sparged bubble columns," AIChE J., vol. 36, pp. 1485-1499, 1990.

[15] A.K. Chesters, G. Hoffman, "Bubble coalescence in pure liquids," Appl. Sci. Res, vol. 38, pp. 353-361, 1982.

[16] J.C. Rotta, Turbulente Stromungen, Stuttgart, 1974.

[17] H. Anglart, O. Nylund, "CFD application to prediction of void distribution in two-phase bubbly flows in rod bundles," Nucl. Sci. Eng., vol. 163, pp. 81-98, 1996.

[18] R.T. Lahey Jr., D.A. Drew, "The analysis of two-phase flow and heat transfer using multidimensional, four field, two-fluid model," Nucl. Eng. Des., vol. 204,pp. 29-44, 2001.

[19] J.B. Joshi, "Computational flow modeling and design of bubble column reactors," Chem. Eng. Sci., vol. 55, pp. 5893-5933, 2001.

[20] M. Ishii, N. Zuber, "Drag coefficient and relative velocity in bubbly, droplet or particulate flows," AIChE J., vol. 25, pp. 843-855, 1979.

[21] I. Zun, "The transverse migration of bubbles influenced by walls in vertical bubbly flow," Int. J. Multiphase Flow, vol. 6, pp. 583-588, 1980.

[22] N.H. Thomas, T.R. Auton, K. Sene, J.C.R. Hunt, "Entrapment and transport of bubbles by transient large eddies in turbulent shear flow, in proc. BHRA International Conference on the Physical Modelling of Multiphase Flow, 1983.

[23] D.A. Drew, S.L. Passman, Theory of Multicomponent Fluids, Springer- Verlag, New York, 1999.

[24] A. Tomiyama, H. Tamai, I. Zun, S. Hosokawa, "Transverse migration of single bubbles in simple shear flows," Chem. Eng. Sci., vol. 57, pp. 1849-1858, 2002.

[25] M.A. Lopez de Bertodano, "Turbulent bubbly two-phase flowin a triangular duct, Ph.D. dissertation, Rensselaer Polytechnic Institute, 1992.

[26] S.P. Antal, R.T. Lahey, J.E. Flaherty, "Analysis of phase distribution in fully developed laminar bubbly two phase flow," Int. J. Multiphase Flow, vol. 7, 635, 1991.