Abstract
In order to investigate the dynamics of quasi-static bubble formation from a submerged orifice, this paper developed an axisymmetric VOSET method with continuum surface force (CSF) model which can accurately capture the moving phase interface of gas-liquid flow. Test case shows that numerical results are in good agreement with experimental results from the literature. The effects of gas flow rate, orifice size, surface tension, contact angle, liquid density, and gravitational acceleration on bubble shape, departure time and departure volume are investigated and analyzed. It is found that increase in orifice size, surface tension, and contact angle results in the increase in the capillary force resisting bubble detachment, which leads to larger departure time and departure volume. But there is a critical contact angle, and contact angle has no significance effect on the process of bubble formation and detachment, when it is smaller than the critical value. Buoyancy force promoting bubble detachment increases with the increase of liquid density and gravitational acceleration, which results in smaller departure time and departure volume. Also, the forming process of the neck shape of bubble bottom at the bubble detachment stage is observed, and the results show that the position of the smallest part of the neck approximately equals to the orifice radius Rc.
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References
Albadawi, A., Donoghue, D.B., Robinson, A.J., Murray, D.B., Delauré, Y.M.C.: Influence of surface tension implementation in volume of fluid and coupled volume of fluid with level set methods for bubble growth and detachment. Int. J. Multiphase Flow. 53, 11–28 (2013)
Arias, S., Montlaur, A.: Influence of contact angle boundary condition on CFD simulation of T-junction. Microgravity Sci. Technol. 30, 435–443 (2018)
Badam, V.K., Buwa, V., Durst, F.: Experimental investigations of regimes of bubble formation on submerged orifices under constant flow condition. Can. J. Chem. Eng. 85, 257–267 (2007)
Bitlloch, P., Ruiz, X., Ramírez-Piscina, L., Casademunt, J.: Bubble dynamics in turbulent duct flows: lattice-boltzmann simulations and drop tower experiments. Microgravity Sci. Technol. 30, 525–534 (2018)
Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100, 335–354 (1992)
Buwa, V.V., Gerlach, D., Durst, F., Schlücker, E.: Numerical simulations of bubble formation on submerged orifices: Period-1 and period-2 bubbling regimes. Chem. Eng. Sci. 62, 7119–7132 (2007)
Chakraborty, I., Biswas, G., Polepalle, S., Ghoshdastidar, P.S.: Bubble formation and dynamics in a quiescent high-density liquid. AICHE J. 61, 3996–4012 (2015)
Chakraborty, I., Ray, B., Biswas, G., Durst, F., Sharma, A., Ghoshdastidar, P.S.: Computational investigation on bubble detachment from submerged orifice in quiescent liquid under normal and reduced gravity. Phys. Fluids. 21, 062103 (2009)
Chen, Y., Mertz, R., Kulenovic, R.: Numerical simulation of bubble formation on orifice plates with a moving contact line. Int. J. Multiphase Flow. 35, 66–77 (2009)
Das, A.K., Das, P.K., Saha, P.: Formation of bubbles at submerged orifices - experimental investigation and theoretical prediction. Exp. Thermal Fluid Sci. 35, 618–627 (2011)
Di Bari, S., Robinson, A.J.: Experimental study of gas injected bubble growth from submerged orifices. Exp. Thermal Fluid Sci. 44, 124–137 (2013)
Georgoulas, A., Koukouvinis, P., Gavaises, M., Marengo, M.: Numerical investigation of quasi-static bubble growth and detachment from submerged orifices in isothermal liquid pools: the effect of varying fluid properties and gravity levels. Int. J. Multiphase Flow. 74, 59–78 (2015)
Gerlach, D., Alleborn, N., Buwa, V., Durst, F.: Numerical simulation of periodic bubble formation at a submerged orifice with constant gas flow rate. Chem. Eng. Sci. 62, 2109–2125 (2007)
Gerlach, D., Biswas, G., Durst, F., Kolobaric, V.: Quasi-static bubble formation on submerged orifices. Int. J. Heat Mass Transf. 48, 425–438 (2005)
Guo, D.Z., Sun, D.L., Li, Z.Y., Tao, W.Q.: Phase change heat transfer simulation for boiling bubbles arising from a vapor film by the VOSET method. Numer. Heat. Transfer A-Appl. 59, 857–881 (2011)
Hanafizadeh, P., Eshraghi, J., Kosari, E., Ahmed, W.H.: The effect of gas properties on bubble formation, growth, and detachment. Part. Sci. Technol. 33, 645–651 (2015)
Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201–225 (1981)
Kim, D.E., Yu, D.I., Jerng, D.W., Kim, M.H., Ahn, H.S.: Review of boiling heat transfer enhancement on micro/nanostructured surfaces. Exp. Thermal Fluid Sci. 66, 173–196 (2015)
Lesage, F.J., Cotton, J.S., Robinson, A.J.: Modelling of quasi-static adiabatic bubble formation, growth and detachment for low bond numbers. Chem. Eng. Sci. 104, 742–754 (2013)
Lesage, F.J., Marois, F.: Experimental and numerical analysis of quasi-static bubble size and shape characteristics at detachment. Int. J. Heat Mass Transf. 64, 53–69 (2013)
Ma, D., Liu, M., Zu, Y., Tang, C.: Two-dimensional volume of fluid simulation studies on single bubble formation and dynamics in bubble columns. Chem. Eng. Sci. 72, 61–77 (2012)
Mirsandi, H., Rajkotwala, A.H., Baltussen, M.W., Peters, E.A.J.F., Kuipers, J.A.M.: Numerical simulation of bubble formation with a moving contact line using local front reconstruction method. Chem. Eng. Sci. 187, 415–431 (2018)
Movafaghian, S., Jaua-Marturet, J.A., Mohan, R.S., Shoham, O., Kouba, G.E.: The effects of geometry, fluid properties and pressure on the hydrodynamics of gas-liquid cylindrical cyclone separators. Int. J. Multiphase Flow. 26, 999–1018 (2000)
Munro, T.R., Ban, H.: Flow and heat flux behavior of micro-bubble jet flows observed in thin, twisted-wire, subcooled boiling in microgravity. Microgravity Sci. Technol. 27, 49–60 (2015)
Oguz, H.N., Prosperetti, A.: Dynamics of bubble growth and detachment from a needle. J. Fluid Mech. 257, 111–145 (1993)
Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12–49 (1988)
Pang, M.J., Wei, J.J., Yu, B.: Investigation on effect of gravity level on bubble distribution and liquid turbulence modification for horizontal channel bubbly flow. Microgravity Sci. Technol. 29, 313–324 (2017)
Shi, D.X., Bi, Q.C., Zhou, R.Q.: Numerical simulation of a falling ferrofluid droplet in a uniform magnetic field by the VOSET method. Numer. Heat. Transfer A-Appl. 66, 144–164 (2014)
Simmons, J.A., Sprittles, J.E., Shikhmurzaev, Y.D.: The formation of a bubble from a submerged orifice. Eur. J. Mech. B-Fluid. 53, 24–36 (2015)
Sun, D.L., Tao, W.Q.: A coupled volume-of-fluid and level set (VOSET) method for computing incompressible two-phase flows. Int. J. Heat Mass Transf. 53, 645–655 (2010)
Sussman, M., Puckett, E.G.: A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162, 301–337 (2000)
Vafaei, S., Borca-Tasciuc, T., Wen, D.S.: Theoretical and experimental investigation of quasi-steady-state bubble growth on top of submerged stainless steel nozzles. Colloid Surface A. 369, 11–19 (2010)
Wang, T., Li, H.X., Li, Y.: Numerical investigation on coaxial coalescence of two gas bubbles. J. Xi'an Jiaotong Univ. 47, 1–6 (2013)
Wang, T., Li, H.X., Zhao, J.F.: Three-dimensional numerical simulation of bubble dynamics in microgravity under the influence of nonuniform electric fields. Microgravity Sci. Technol. 28, 133–142 (2016)
Wu, K., Li, Z.D., Zhao, J.F., Li, H.X., Li, K.: Partial nucleate pool boiling at low heat flux: preliminary ground test for SOBER-SJ10. Microgravity Sci. Technol. 28, 165–178 (2016)
Wu, W.B., Liu, Y.L., Zhang, A.M.: Numerical investigation of 3D bubble growth and detachment. Ocean Eng. 138, 86–104 (2017)
Youngs, D.L.: Time-dependent multi-material flow with large fluid distorion. In: Morton, K.W., Baines, M.J. (eds.) Numerical Methods for Fluid Dynamics. Acadimic Press, New York (1982)
Zhang, L., Shoji, M.: Aperiodic bubble formation from a submerged orifice. Chem. Eng. Sci. 56, 5371–5381 (2001)
Zhang, Y.J., Liu, M.Y., Xu, Y.G., Tang, C.: Three-dimensional volume of fluid simulations on bubble formation and dynamics in bubble columns. Chem. Eng. Sci. 73, 55–78 (2012)
Zhang, Y.H., Liu, B., Zhao, J.F., Deng, Y.P., Wei, J.J.: Experimental study of subcooled flow boiling heat transfer on a smooth surface in short-term microgravity. Microgravity Sci. Technol. 30, 793–805 (2018)
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The present study is supported financially by the Fundamental Research Funds for the Central Universities (2018MS105) and the joint fund between the Chinese Academy of Sciences (CAS) and National Natural Science Foundation of China (NSFC) under the grant of U1738105.
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Wang, T., Li, HX., Zhao, JF. et al. Numerical Simulation of Quasi-Static Bubble Formation from a Submerged Orifice by the Axisymmetric VOSET Method. Microgravity Sci. Technol. 31, 279–292 (2019). https://doi.org/10.1007/s12217-019-9690-5
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DOI: https://doi.org/10.1007/s12217-019-9690-5