Lattice Boltzmann method (LBM) is used to simulate the deformation and breakup of single bubble in a shear flow. Numerical simulations of single bubble deformation are qualitatively compared with experimental results in a shear flow. Respectively the rotation angle θ is quantitatively compared with experimental results according to different capillary numbers (Ca), which shows numerical simulations are in agreement with the experimental results and theoretical results. Finally, the breakup process of single bubble in a shear flow is simulated straightforwardly.
Muller-FischeNadinaToblerPhilipDresslerMarcoFischerPeterWindhabErich J., Single bubble deformation and breakup in simple shear flow, Exp Fluids (2008) 45:917–926.
2.
SmolianskiAnton, Heikki Haario and Pasi Luukka Numerical Bubble Dynamics.
3.
OguzH. N. and ProsperettiA., Dynamics of bubble growth and detachment from a needle, J. Fluid Mech. 257, 111 (1993).
4.
DuharGéraldine and ColinCatherine, Dynamics of bubble growth and detachment in a viscous shear flow, PHYSICS OF FLUIDS18, 077101 (2006).
5.
TerasakaK. and TsugeH., “Bubble formation at a single orifice in highly viscous liquid,”J. Chem. Eng. Jpn.23, 160 (1990).
6.
LiH. Z.MoulineY., and MidouxN., “Modelling the bubble formation dynamics in non-Newtonian fluids,”Chem. Eng. Sci.57, 339 (2002).
7.
QiuD. M. and DhirV. K.Single-Bubble Dynamics During Pool Boiling Under Low Gravity Conditions, JOURNAL OF THERMOPHYSICS AND HEAT TRANSFERVol. 16, No. 3, July–September (2002).
8.
ShanX.ChenH., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E.47 (3) (1993) 1815–1819.
QianY.H.ChenS., Finite size effect in lattice-BGK models, International. J. Modern Phys. C.8 (4) (1997) 763–771.
11.
ZhangR.ChenH., Lattice Boltzmann method for simulations of liquid–vapor thermal flows, Phys. Rev. E.67 (6) (2003) 066711.
12.
WeiYikun Yuehong. Qian Lattice Boltzmann Simulations for Multiphase Fluids with Redich-Kwong Equation of StateJournal of Hydrodynamics2011, (6) p: 283–286.
13.
QianY.d'HumieresD., and LallemandP., Europhys. Lett.17, 479 (1992).
14.
KupershtokhA.L.MedvedevD.A.KarpovD.I., On equations of state in a lattice Boltzmann method, Computers and Mathematics with Applications58 (2009) 965–974.
