The history force on a rapidly shrinking bubble rising at finite Reynolds number

Physics of Fluids

Volumn 16, Issue 9, 2004, Pages 3247-3255

  Takemura, Fumio ^a   Magnaudet, Jacques ^b  

^a NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

^b IMFT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); BUOYANCY; CARBON DIOXIDE; DRAG; OPTICAL SYSTEMS; REYNOLDS NUMBER; SODIUM COMPOUNDS; SOLUTIONS;

DRAG FORCES; TIME-VARYING RADII;

FLOW OF FLUIDS;

BUBBLE; DRAG; FLUID MECHANICS; REYNOLDS NUMBER;

EID: 4544297120     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1760691     Document Type: Article

References (18)

1. J. Magnaudet and I. Eames, "The motion of high -Reynolds-number bubbles in inhomogencous flows," Annu. Rev. Fluid Mech. 32, 659 (2000).
2. A. Basset, A Treatise on Hydrodynamics (Deighton Bell, London, 1888), Vol. 2.
3. J. Boussinesq, "Sur la résistance qu'oppose un fluide indéfini au repos, sans pesamear, au mouvement varié. d'une. sphère solide qou'il mouille sur toute sa surface, quand les vitesses restent bien continues et assez faibles pour que leurs carrés et produits soient négligeables," C. R. Acad. Sci. Paris 100, 935 (1885).
4. S. M. Yang and L. G. Leal, "A note on memory-integral contributions to the force on an accelerating spherical drop at low Reynolds number," Phys. Fluids A 3, 1822 (1991).
5. R. Mel and R. J. Adrian, "Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number," J. Fluid Mech. 237, 323 (1992).
6. R M. Lovalenti and J. F. Brady, "The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number," J. Fluid Mech. 256, 561 (1993).
7. P. M. Lovalenti and J. F. Brady, "The force on a bubble, drop, or particle in arbitrary time-dependent motion at small Reynolds number," Phys. Fluids A 5, 2104 (1993).
8. C. J. Lawrence and R. Mei, "Long-time behaviour of the drag on a body in an impulsive motion," J. Fluid Mech. 283, 307 (1995).
9. R. Mei, "History force on a sphere due to a step change in the free-stream velocity," Int. J. Multiphase Flow 19, 509 (1993).
10. R. Mei, "Flow due to an oscillating sphere and an expression for unsteady drag on the sphere at finite Reynolds number," J. Fluid Mech. 270, 133 (1994).
11. R. W. Mei, J. F. Klausner, and C. J. Lawrence, "A note on the history force on a spherical bubble at finite Reynolds number," Phys. Fluids 6, 418 (1994).
12. I. Kim, S. Elghobashi, and W. A. Sirignano, "On the equation for spherical-particle motion: Effect of Reynolds and acceleration numbers," J. Fluid Mech. 367, 221 (1998).
13. W. C. Park, J. F. Klausner, and R. W. Mei, "Unsteady forces on spherical bubbles," Exp. Fluids 19, 167 (1995).
14. D. Legendre, J. Borée, and J. Magnaudet, "Thermal and dynamic evolution of a spherical bubble moving steadily in a superheated or subcooled liquid," Phys. Fluids 10, 1256 (1998).
15. C. D. Ohl, A. Tijink, and A. Prosperetti, "The added mass of an expanding bubble," J. Fluid Mech. 482, 271 (2003).
16. J. Magnaudet and D. Legendre, "The viscous drag force on a spherical bubble with a time-dependent radius," Phys. Fluids 10, 550 (1998).
17. F. Takemura and Y. Matsumoto, "Dissolution rate of spherical carbon dioxide bubbles in strong alkaline solutions," Chem. Eng. Sci. 55, 3907 (2000).
18. J. N. Chung, "The motion of particles inside a droplet," Trans. ASME, Ser. C: J. Heat Transfer 104, 438 (1982).