Numerical Study of Bubble Separation and Motion Using Lattice Boltzmann Method

Document Type : Original Research Paper

Authors

Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, I. R. Iran

Abstract

In present paper acombination of three-dimensional isothermal and two-dimensional non-isothermal Lattice Boltzmann Method have been used to simulate the motion of bubble and effect of wetting properties of the surface on bubble separation. By combining these models, three-dimensional model has been used in two-dimension for decreasing the computational cost. Firstly, it has been ensured that the surface tension effect and Laplace law for two-density ratio 50 and 1000 have been properly implemented. Secondly, by simulation of static droplet in different conditions wettability, integrity applied equations has been investigated.Thirdly, effect of governing dimensionless numbers such as Etvos number and Morton number on Reynolds number and terminal shape of bubble have been investigated.Different flow patterns in various dimensionless numbers have been obtained and by changing the dimensionless number, terminal change of bubble’s shape has been seen. Finally, the impact of wettability of surface on departure of bubble from wall under buoyancy force in different dimensionless numbers has been studied.

Keywords

References

[1] AK. Gunstensen, DH. Rothman, S. Zaleski, G Zanetti.:Lattice Boltzmann model of immiscible fluids, Physical Review A 43 (1991) 4320-4327.
[2]  X. Shan, H. Chen: Lattice Boltzmann model for simulating flows with multiple phases and  components, Physical Review E 47 (1993) 1815-1819.
[3] M. R. Swift, W. Osborn, J. M. Yeomans: Lattice Boltzmann simulation of nonideal fluids, Physical Review Letters 75(1995) 830-833.
[4]  T. Inamuro, T. Ogata, F. Ogino: Numerical simulation of bubble flows by the lattice Boltzmann method, Future Generation Computer Systems 20(2004) 959-964.
[5]  T. Inamuro, T. Ogata, S. Tajima, N. Konishi: A lattice Boltzmann method for incompressible two-phase flows with large density differences, Journal of Computational Physics 198 (2004) 628-644.
[6]  T. Inamuro, S. Tajima, F. Ogino: Lattice Boltzmann simulation of droplet collision dynamics, International journal of heat and mass transfer 47(2004) 4649-4657.
[7]  B. Sakakibara, T. Inamuro: Lattice Boltzmann simulation of collision dynamics of two unequal-size droplets, International journal of heat and mass transfer 51(2008) 3207-3216.
[8]  T. Inamuro: Lattice boltzmann methods for viscouse fluid flows and two-phase fluid flows,  Computational Fluid Dynamics. Springer: India (2008) 3-16.
[9]  Y.Y. Yan, Y.Q. Zu : LBM simulation of interfacial behaviour of bubbles flow at low Reynolds number in a square microchannel, Computational Methods in Multiphase Flow V. New Forest: WIT Press, 2009.
[10]  M. Yoshino, Y. Mizutani: Lattice Boltzmann simulation of liquid–gas flows through solid bodies in a square duct, Mathematics and computers in simulation 72(2006) 264-269.
[11]  Y. Yan, Y. Zu: A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio, Journal of Computational Physics 227 (2007) 763-775.
[12] Y.Y. Yan,Y.Q. Zu: Numerical modelling of bubble coalescence and droplet separation, in Computational Methods in Multiphase Flow IV (2007) 227-237.
[13] Y. Tanaka, Y. Washio, M. Yoshino, T. Hirata: Numerical simulation of dynamic behavior of droplet on solid surface by the two-phase lattice Boltzmann method, Computers & Fluids 40 (2011) 68-78.
[14] Y. Tanaka, M. Yoshino, T. Hirata, Lattice Boltzmann simulation of nucleate pool boiling in saturated liquid, Communications in Computational Physics 9(2011)1347-1361.
[15] T. Lee: Effects of incompressibility on the elimination of parasitic currents in the lattice Boltzmann equation method for binary fluids, Computers & Mathematics with Applications 58(2009) 987-994.
[16]  T. Lee, C.L. Lin: A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio, Journal of Computational Physics206(2005) 16-47.
[17] T. Lee, L. Liu: Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, Journal of Computational Physics 229(2010) 8045-8063.
[18] H. Zheng, C. Shu, Y.T. Chew: A lattice Boltzmann model for multiphase flows with large density ratio, Journal of Computational Physics 218 (2006) 353-371.
[19] E. Sattari, M. A. Delavar, E. Fattahi, K. Sedighi: Numerical investigation the effects of working parameters on nucleate pool boilin, International Communications in Heat and Mass Transfer 59(2014)106-113.
[20] A. Briant, A. Wagner, J. Yeomans: Lattice Boltzman simulations of contact line motion. I. Liquid-gas systems, Physical Review E 69(2004)031602.
[21] S. M. Tilehboni, K. Sedighi, M. Farhadi,  E. Fattahi: Lattice Boltzmann Simulation of Deformation and Breakup of a Droplet under Gravity Force Using Interparticle Potential Model, International Journal of Engineering-Transactions A: Basics 26(2013)781-794.
[22] T. Seta, K. Okui: Effects of truncation error of derivative approximation for two-phase lattice Boltzmann method, Journal of Fluid Science and Technology 2(2007)139-151.
[23] H. Huang, D. T. Thorne, M. G. Schaap, M. C. Sukop: Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models, Physical Review E 76(2007)066701 1-6.

Files

Share

How to cite

Statistics