Unsteady rise of a bubble in a viscous fluid at small Reynolds numbers

详细信息    查看全文

• 作者：V. A. Arkhipov (1)
  I. M. Vasenin (1)
  A. S. Tkachenko (2)
  A. S. Usanina (1)
  
  1. Faculty of Physics and Engineering ; Tomsk State University ; pr. Lenina 36 ; Tomsk ; 634050 ; Russia
  2. Faculty of Technology and Entrepreneurship ; Tomsk State Pedagogical University ; ul. Karla Ilmera 15/1 ; Tomsk ; 634057 ; Russia
  
• 关键词：bubble ; viscous fluid ; unsteady regime ; Basset force
• 刊名：Fluid Dynamics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：50
• 期：1
• 页码：79-86
• 全文大小：341 KB
• 参考文献：1. Vodop鈥檡anov, IS, Petrov, AG, Shunderyuk, MM (2010) Unsteady Sedimentation of a Spherical Particle in a Viscous Fluid. Fluid Dynamics 45: pp. 254-263 CrossRef
  2. Visitskii, EV, Petrov, AG, Shunderyuk, MM (2009) The Motion of a Particle in a Viscous Fluid under Gravity, Vibration and Basset鈥檚 Force. J. Appl. Math. Mekh. 73: pp. 548-557
  3. Zhang, L, Yang, C, Mao, Z-S (2008) Unsteady Motion of a Bubble in Highly Viscous Solution and Empirical Correlation of Drag Coefficient. Chem. Eng. Sci. (63). pp. 2099-2106
  4. Park, WC, Klausner, JF, Mei, R (1995) Unsteady Forces on Spherical Bubbles. Exp. Fluids (19). pp. 167-172
  5. Sangani, AS, Zhang, DZ, Prosperetti, A (1991) The Added Mass, Basset, and Viscous Drag Coefficients in Nondilute Bubbly Liquids Undergoing Small-Amplitude Oscillatory Motion. Phys. Fluids A3: pp. 2955-2970 CrossRef
  6. Mei, R, Klausner, JF (1992) Unsteady Force on a Spherical Bubble at Finite Reynolds Number with Small Fluctuations in the Free-Stream Velocity. Phys. Fluids A 4: pp. 63-70 CrossRef
  7. Parmar, M, Balachandar, S, Haselbacher, A (2012) Equation of Motion for a Drop or Bubble in Viscous Compressible Flows. Phys. Fluids 24: pp. 056103 CrossRef
  8. Bronshtein, BI, Fishbein, GA (1977) Hydrodynamics, Mass, and Heat Transfer in Disperse Systems. Khimiya, Leningrad
  9. Clift, R, Grase, JR, Weber, MH (1978) Bubbles, Drops, and Particles. Acad. Press, New York
  10. Landau, LD, Lifshits, EM (1975) Fluid Mechanics. Pergamon Press, Oxford
  11. Lavrent鈥檈v, MA, Shabat, BV (1987) Methods of Theory of Complex-Variable Functions. Nauka, Moscow
  12. Arkhipov, VA, Vasenin, IM, Usanina, AS (2013) Experimental Study of Unsteady Regimes of Single-Bubble Rise. Inzh. Fiz. Zh. 86: pp. 1097-1106
  13. Dorgan, AJ, Loth, E (2007) Efficient Calculation of the History Force at Finite Reynolds Numbers. Int. J. Multiphase Flow 33: pp. 833-848 CrossRef
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Fluids
  Mechanics, Fluids and Thermodynamics
  Mechanics
  Engineering Fluid Dynamics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8507

文摘

A bubble rising from the state of rest in a viscous incompressible fluid is considered. A formula for the Basset force acting on the bubble in a viscous fluid is obtained, which differs by a multiplier from the Basset force for a solid particle. The problem of unsteady rise of a bubble is solved analytically. The bubble rise is also studied experimentally and the experimental data are compared with the theoretical results.