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Experimental and Computational Multiphase Flow 2019, 1(2): 145-157 https://doi.org/10.1007/s42757-019-0020-3
Research Article | Issue | Published: 02 May 2019

Numerical investigation on the influencing interphase forces on bubble size distribution around NACA0015 hydrofoil

Show Author's Information Jiang Han1,  Sara Vahaji2( ),  Sherman C. P. Cheung3
Naval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, China
School of Engineering, Deakin University Geelong, Victoria 3217, Australia
School of Engineering, RMIT University, Plenty Rd, Bundoora, Victoria 3083, Australia
Keywords:
cavitation, gas-liquid flow, bubble size distribution, hydrofoil
Cite this article:
Han J, Vahaji S, Cheung SCP. Numerical investigation on the influencing interphase forces on bubble size distribution around NACA0015 hydrofoil. Experimental and Computational Multiphase Flow, 2019, 1(2): 145-157. https://doi.org/10.1007/s42757-019-0020-3
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Abstract Full text About this article

Two-phase bubbly flows are prevalent in many industries and in nature. The aeration process that happens in the auto-venting turbine (AVT) is involved with two-phase bubbly flow downstream the turbine. The quality of the water in the turbine downstream is directly impacted by the bubble size distribution in the wake of turbine hydrofoils. In order to be able to accurately capture the physics associated with this process numerically, the interphase forces need to be considered carefully. Therefore, in this paper, the influence of interphase forces on the bubble size distribution around an NACA0015 hydrofoil is investigated. The numerical simulations require the consideration of the dynamic behaviors of two-phase flow and bubbles undergoing coalescence and breakup. For this purpose, the ensemble-averaged mass and momentum transport equations for continuous and dispersed phases are modeled within the two-fluid modelling framework. These equations are coupled with population balance equations (PBEs) to aptly account for the coalescence and breakup of the bubbles. The influence of the interphase forces: drag, lift, wall lubrication, virtual mass, turbulent dispersion forces, and turbulence transfer models, on the resulting bubble size distribution, is investigated and compared to existing experimental data.


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About this article

Numerical investigation on the influencing interphase forces on bubble size distribution around NACA0015 hydrofoil

Show Author's information Jiang Han1, Sara Vahaji2( ), Sherman C. P. Cheung3
Naval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, China
School of Engineering, Deakin University Geelong, Victoria 3217, Australia
School of Engineering, RMIT University, Plenty Rd, Bundoora, Victoria 3083, Australia

Abstract

Two-phase bubbly flows are prevalent in many industries and in nature. The aeration process that happens in the auto-venting turbine (AVT) is involved with two-phase bubbly flow downstream the turbine. The quality of the water in the turbine downstream is directly impacted by the bubble size distribution in the wake of turbine hydrofoils. In order to be able to accurately capture the physics associated with this process numerically, the interphase forces need to be considered carefully. Therefore, in this paper, the influence of interphase forces on the bubble size distribution around an NACA0015 hydrofoil is investigated. The numerical simulations require the consideration of the dynamic behaviors of two-phase flow and bubbles undergoing coalescence and breakup. For this purpose, the ensemble-averaged mass and momentum transport equations for continuous and dispersed phases are modeled within the two-fluid modelling framework. These equations are coupled with population balance equations (PBEs) to aptly account for the coalescence and breakup of the bubbles. The influence of the interphase forces: drag, lift, wall lubrication, virtual mass, turbulent dispersion forces, and turbulence transfer models, on the resulting bubble size distribution, is investigated and compared to existing experimental data.

Keywords: cavitation, gas-liquid flow, bubble size distribution, hydrofoil

References(38)

Anglart, H., Nylund, O. 1996. CFD application to prediction of void distribution in two-phase bubbly flows in rod bundles. Nucl Eng Des, 163: 81-98.
DOI Google Scholar
Antal, S., Lahey, R. T. Jr., Flaherty, J. 1991. Analysis of phase distribution and turbulence in dispersed particle/liquid flows. Chem Eng Commun, 174: 85-113.
Google Scholar
Bohac, C. E., Shane, R. M., Harshbarger, E. D., Goranflo, H. M. 1986. Recent progress on improving reservoir releases. Lake Reserv Manage, 2: 187-190.
DOI Google Scholar
Bolotnov, I. A., Jansen, K. E., Drew, D. A., Oberai, A. A., Lahey, R. T. Jr., Podowski, M. Z. 2011. Detached direct numerical simulations of turbulent two-phase bubbly channel flow. Int J Multiphase Flow, 37: 647-659.
DOI Google Scholar
Bunea, F., Ciocan, G. D., Oprina, G., Băran, G., Băbutanu, C. A. 2010. Hydropower impact on water quality. Environ Eng Manag J, 9: 1459-1464.
DOI Google Scholar
Burns, A. D., Frank, T., Hamill, I., Shi, J.-M. 2004. The Favre averaged drag model for turbulent dispersion in Eulerian multi-phase flows. In: Proceedings of the 5th International Conference on Multiphase Flow, Paper No. 392.
Chesters, A. K., Hofman, G. 1982. Bubble coalescence in pure liquids. In: Mechanics and Physics of Bubbles in Liquids. Van Wijngaarden, L. Ed. Springer Dordrecht, 353-361.
DOI
Cheung, S. C. P., Yeoh, G. H., Tu, J. Y. 2007a. On the modelling of population balance in isothermal vertical bubbly flows: Average bubble number density approach. Chem Eng Process, 46: 742-756.
DOI Google Scholar
Cheung, S. C. P., Yeoh, G. H., Tu, J. Y. 2007b. On the numerical study of isothermal vertical bubbly flow using two population balance approaches. Chem Eng Sci, 62: 4659-4674.
DOI Google Scholar
Cheung, S. C. P., Yeoh, G. H., Tu, J. Y. 2008. Population balance modeling of bubbly flows considering the hydrodynamics and thermomechanical processes. AIChE J, 54: 1689-1710.
DOI Google Scholar
Ekambara, K., Sanders, R. S., Nandakumar, K., Masliyah, J. H. 2008. CFD simulation of bubbly two-phase flow in horizontal pipes. Chem Eng J, 144: 277-288.
DOI Google Scholar
Ellis, C., Karn, A., Hong, J., Lee, S. J., Kawakami, E., Scott, D., Gulliver, J., Arndt, R. E. A. 2014. Measurements in the wake of a ventilated hydrofoil: A step towards improved turbine aeration techniques. IOP C Ser Earth Env, 22: 062009.
DOI Google Scholar
Frank, T., Shi, J., Burns, A. D. 2004. Validation of Eulerian multiphase flow models for nuclear safety application. In: Proceedings of the 3rd International Symposium on Two-Phase Modelling and Experimentation.
Hayes, D. F., Labadie, J. W., Sanders, T. G., Brown, J. K. 1998. Enhancing water quality in hydropower system operations. Water Resour Res, 34: 471-483.
DOI Google Scholar
Ishii, M., Zuber, N. 1979. Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE J, 25: 843-855.
DOI Google Scholar
Karn, A., Ellis, C. R., Hong, J. R., Arndt, R. E. A. 2015a. Investigations into the turbulent bubbly wake of a ventilated hydrofoil: Moving toward improved turbine aeration techniques. Exp Therm Fluid Sci, 64: 186-195.
DOI Google Scholar
Karn, A., Ellis, C. R., Milliren, C., Hong, J. R., Scott, D., Arndt, R. E., Gulliver, J. S. 2015b. Bubble size characteristics in the wake of ventilated hydrofoils with two aeration configurations. International Journal of Fluid Machinery and Systems, 8: 73-84.
DOI Google Scholar
Karn, A., Monson, G. M., Ellis, C. R., Hong, J. R., Arndt, R. E. A., Gulliver, J. S. 2015c. Mass transfer studies across ventilated hydrofoils: A step towards hydroturbine aeration. Int J Heat Mass Transfer, 87: 512-520.
DOI Google Scholar
Karn, A., Shao, S. Y., Arndt, R. E. A., Hong, J. R. 2016. Bubble coalescence and breakup in turbulent bubbly wake of a ventilated hydrofoil. Exp Therm Fluid Sci, 70: 397-407.
DOI Google Scholar
Kurul, N., Podowski, M. Z. 1990. Multidimensional effects in forced convection subcooled boiling. In: Proceedings of the 9th Heat Transfer Conference, 19-24.
DOI
Lahey, R. T. Jr., Drew, D. A. 2001. The analysis of two-phase flow and heat transfer using a multidimensional, four field, two-fluid model. Nucl Eng Des, 204: 29-44.
DOI Google Scholar
Liao, Y. X., Lucas, D. 2010. A literature review on mechanisms and models for the coalescence process of fluid particles. Chem Eng Sci, 65: 2851-2864.
DOI Google Scholar
Luo, H. A., Svendsen, H. F. 1996. Theoretical model for drop and bubble breakup in turbulent dispersions. AIChE J, 42: 1225-1233.
DOI Google Scholar
March, P. A., Brice, T. A., Mobley, M. H. 1992. Turbines for solving the DO dilemma. Hydro Review, 11: 30-36.
Google Scholar
Olmos, E., Gentric, C., Vial, C., Wild, G., Midoux, N. 2001. Numerical simulation of multiphase flow in bubble column reactors. Influence of bubble coalescence and breakup. Chem Eng Sci, 56: 6359-6365.
DOI Google Scholar
Pohorecki, R., Moniuk, W., Bielski, P., Zdrójkowski, A. 2001. Modelling of the coalescence/redispersion processes in bubble columns. Chem Eng Sci, 56: 6157-6164.
DOI Google Scholar
Pourtousi, M., Sahu, J. N., Ganesan, P. 2014. Effect of interfacial forces and turbulence models on predicting flow pattern inside the bubble column. Chem Eng Process, 75: 38-47.
DOI Google Scholar
Prince, M. J., Blanch, H. W. 1990. Bubble coalescence and breakup in air-sparged bubble columns. AIChE J, 36: 1485-1499.
DOI Google Scholar
Rotta, J. C. 1972. Turbulente Strömungen. Teubner, Stuttgart.
DOI
Rzehak, R., Krepper, E., Lifante, C. 2012. Comparative study of wall-force models for the simulation of bubbly flows. Nucl Eng Des, 253: 41-49.
DOI Google Scholar
Tabib, M. V., Roy, S. A., Joshi, J. B. 2008. CFD simulation of bubble column: An analysis of interphase forces and turbulence models. Chem Eng J, 139: 589-614.
DOI Google Scholar
Wang, S. K., Lee, S. J., Jones, O. C. Jr., Lahey, R. T. Jr. 1987. 3-D turbulence structure and phase distribution measurements in bubbly two-phase flows. Int J Multiphase Flow, 13: 327-343.
DOI Google Scholar
Yamoah, S., Martínez-Cuenca, R., Monrós, G., Chiva, S., MacIán-Juan, R. 2015. Numerical investigation of models for drag, lift, wall lubrication and turbulent dispersion forces for the simulation of gas-liquid two-phase flow. Chem Eng Res Des, 98: 17-35.
DOI Google Scholar
Yeoh, G. H., Cheung, S. C. P., Tu, J. Y. 2012. On the prediction of the phase distribution of bubbly flow in a horizontal pipe. Chem Eng Res Des, 90: 40-51.
DOI Google Scholar
Yeoh, G. H., Tu, J. Y. 2004. Population balance modelling for bubbly flows with heat and mass transfer. Chem Eng Sci, 59: 3125-3139.
DOI Google Scholar
Yeoh, G. H., Tu, J. Y. 2005. Thermal-hydrodynamic modeling of bubbly flows with heat and mass transfer. AIChE J, 51: 8-27.
DOI Google Scholar
Yu, Z. Y., Zhu, B. S., Cao, S. L. 2015. Interphase force analysis for air-water bubbly flow in a multiphase rotodynamic pump. Eng Comput, 32: 2166-2180.
DOI Google Scholar
Zhang, D., Deen, N. G., Kuipers, J. A. M. 2006. Numerical simulation of the dynamic flow behavior in a bubble column: A study of closures for turbulence and interface forces. Chem Eng Sci, 61: 7593-7608.
DOI Google Scholar
Publication history
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Acknowledgements

Publication history

Received: 25 February 2019
Revised: 30 March 2019
Accepted: 31 March 2019
Published: 02 May 2019
Issue date: June 2019

Copyright

© Tsinghua University Press 2019

Acknowledgements

The authors are grateful for the support provided by Australia-China Joint Research Centre on Maritime Engineering, National Natural Science Foundation of China (No. 51436002), and the CSC Scholarship (No. 201506575024).

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