Unsteady motion of a single bubble in highly viscous liquid and empirical correlation of drag coefficient

被引:72
作者
Zhang, Li [1 ]
Yang, Chao [1 ]
Mao, Zai-Sha [1 ]
机构
[1] Chinese Acad Sci, Inst Proc Engn, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
bubble; drag coefficient; multiphase flow; added mass force; history force; correlation;
D O I
10.1016/j.ces.2008.01.010
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The unsteady motion of single bubbles rising freely in a quiescent liquid with high viscosity was measured using a CCD (charge coupled device) camera. Sequences of the recorded frames were digitized and analyzed using image analysis software and the measurements of the acceleration and steady motion of bubbles were obtained. The total drag coefficient was calculated from the accelerating motion to the steady motion with the added mass force and history force included. In virtue of dimensional analysis, the total drag coefficient of single bubbles is correlated as a function of the acceleration number, Archimedes number and Reynolds number based on the equivalent bubble diameter. The proposed correlation represents very well the experimental data of the total drag force in a wide range covering both unsteady accelerating motion and steady motion. The combined added mass and history force coefficient accounting for the accelerating effect on single bubbles was evaluated and correlated. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2099 / 2106
页数:8
相关论文
共 21 条
  • [1] Eulerian-Lagrangian simulations of unsteady gas-liquid flows in bubble columns
    Buwa, Vivek V.
    Deo, Dhanannjay S.
    Ranade, Vivek V.
    [J]. INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2006, 32 (07) : 864 - 885
  • [2] Chhabra R P., 1993, Bubbles, Drops and Particles in Non-Newtonian Fluids
  • [3] Clift R., 1978, BUBBLES DROPS PARTIC
  • [4] Deckwer W. D., 1992, BUBBLE COLUMN REACTO
  • [5] DELNOIJ E, 1997, CHEM ENG SCI, V52, P1
  • [6] Numerical investigation of closures for interface forces acting on single air-bubbles in water using volume of fluid and front tracking models
    Dijkhuizen, W
    van den Hengel, EIV
    Deen, NG
    Annaland, MS
    Kuipers, JAM
    [J]. CHEMICAL ENGINEERING SCIENCE, 2005, 60 (22) : 6169 - 6175
  • [7] Profiles of local velocities of bubbles in n-butanol, n-hexanol and n-nonanol solutions
    Krzan, M
    Malysa, K
    [J]. COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2002, 207 (1-3) : 279 - 291
  • [8] Bubble formation and bubble rise velocity in gas-liquid systems: A review
    Kulkarni, AA
    Joshi, JB
    [J]. INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2005, 44 (16) : 5873 - 5931
  • [9] THE FORCE ON A BUBBLE, DROP, OR PARTICLE IN ARBITRARY TIME-DEPENDENT MOTION AT SMALL REYNOLDS-NUMBER
    LOVALENTI, PM
    BRADY, JF
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (09): : 2104 - 2116
  • [10] The motion of high-Reynolds-mumber bubbles in inhomogeneous flows
    Magnaudet, J
    Eames, I
    [J]. ANNUAL REVIEW OF FLUID MECHANICS, 2000, 32 : 659 - 708