[1] RUST A C,MICHAEL M.Effects of bubble deformation on the viscosity of dilute suspensions[J].J.Non-Newtonian Fluid Mech.,2002,104:53-63. [2] YUICHI M,HIROSHI O.Increase of effective viscosity in bubbly liquids from transient bubble deformation[J].Fluid Dynamics Research,2008,40:565-575. [3] LLEWELLIN E W,MADER H M,WILSON S D R.The rheology of a bubbly liquid[J].Proc.R.Soc.A,2002,458:987-1016. [4] MANGA M,LOEWENBERG M.Viscosity of magmas containing highly deformable bubbles[J].Journal of Volcanology and Geothermal Research,2001,105:19-24. [5] MADER H M,LLEWELLIN E W,MUELLER S P.The rheology of two-phase magmas:a review and analysis[J].Journal of Volcanology and Geothermal Research,2013,257:135-158. [6] LEJEUNE A M,BOTTINGA Y,TRULL T W,et al.Rheology of bubble-baring magmas:reply to a critical comment by Spera and Stein[J].Earth and Planetary Science Letters,2000,175:333-334. [7] MANGA M,CASTRO J,CASHMAN K V,et al.Rheology of bubble-bearing magmas[J].J.Volcanol.Geotherm.Res.,1998,87:15-28. [8] SUNG W J,SEUNG H L,JAE R Y.Rheological behavior of polydispersed bubble suspensions in shear flows[J].Polymer Engineering and Science,2010,50(1):128-137 [9] PAL R.rheological constitutive equation for bubbly suspensions[J].Ind.Eng.Chem.Res.,2004,43:5372-5379. [10] FRANKEL N A,ACRIVOS A.The constitutive equation for a dilute emulsion[J].J.Fluid Mech.,1970,44:65-78. [11] YUN M L,DONG J S,JAE R Y.Rheological behavior of dilute bubble suspensions in polyol[J].Korea-Australia Rheology Journal,2004,16:47-54. [12] HIRT C W,NICHOLS B D.Volume of fluid (VOF) method for the dynamics of free boundaries[J].Journal of Computational Physics,1981,39:201-205. [13] RIDER W J,KOTHE D B.Reconstructing volume tracking[J].Journal of Computational Physics,1997,141:112-152. [14] 马斗.单孔气泡动力学行为的VOF数值模拟[D].天津:天津大学化工学院,2009. [15] 黄萌.电场作用下油水乳液中水滴的运动和形变特性研究[D].西安:西安交通大学,2015. [16] 李宜乐,刘应中.缪国平.二阶精度的VOF自由面追踪方法及其应用[J].船舶力学,1999,3(1):44-52. |