Terminal velocity of single bubbles in surface tension force dominant regime

被引:395
作者
Tomiyama, A [1 ]
Celata, GP
Hosokawa, S
Yoshida, S
机构
[1] Kobe Univ, Grad Sch Sci & Technol, Nada Ku, Kobe, Hyogo 6578501, Japan
[2] ENEA, Inst Thermal Fluid Dynam, Rome, Italy
基金
日本学术振兴会;
关键词
terminal velocity; single bubble; initial shape deformation; aspect ratio; surfactants;
D O I
10.1016/S0301-9322(02)00032-0
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Terminal velocity V-T of a single bubble rising through an infinite stagnant liquid in surface tension force dominant regime was investigated theoretically and experimentally. A theoretical V-T model, which is applicable to a distorted spheroidal bubble with a high bubble Reynolds number, was deduced from a jump condition and a potential flow theory for a flow about an oblate spheroid. Experiments were conducted using air and water to measure bubble trajectories, shapes and velocities. As a result, it was confirmed that (1) the primal cause of widely scattered V-T in this regime is not surfactant concentration but initial shape deformation, (2) small initial shape deformation results in a low V-T and a high aspect ratio, whereas large initial shape deformation results in a high V-T and a low aspect ratio, (3) the primal role of surfactants in this regime is to cause the damping of shape oscillation, by which a contaminated bubble behaves as if it were a clean bubble with low initial shape deformation, and (4) the proposed model gives good predictions of V-T for single distorted bubbles. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1497 / 1519
页数:23
相关论文
共 21 条
  • [1] AYBERS NM, 1969, WARME STOFFUBERTRAG, V2, P171, DOI DOI 10.1007/BF00751164
  • [2] Batchelor G.K., 1967, INTRO FLUID DYNAMICS, P235
  • [3] Clift R., 2005, Bubbles, drops, and particles
  • [4] THE MECHANICS OF LARGE BUBBLES RISING THROUGH EXTENDED LIQUIDS AND THROUGH LIQUIDS IN TUBES
    DAVIES, RM
    TAYLOR, G
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 200 (1062): : 375 - 390
  • [5] DEVRIES A, 2001, CD ROM 4 ICMF 2001 N
  • [6] On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity
    Ellingsen, K
    Risso, F
    [J]. JOURNAL OF FLUID MECHANICS, 2001, 440 : 235 - 268
  • [7] Ishii M., 1975, THERMO FLUID DYNAMIC
  • [8] Landau L.D., 1987, Hydrodynamics
  • [9] Lunde K, 1998, APPL SCI RES, V58, P387
  • [10] LUNDE K, 1997, P ASME FLUIDS ENG DI