The rate at which a long bubble rises in a vertical tube

Journal of Fluid Mechanics

Volumn 175, Issue , 1987, Pages 557-565

  Reinelt, D A ^a  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS - TUBES; VISCOSITY;

FLUID MECHANICS;

EID: 0023287416     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112087000521     Document Type: Article

References (8)

1. Batchelor, G. K. 1967 An Introduction to Fluid Mechanics. Cambridge University Press.
2. Bretherton, F. P. 1961 The motion of long bubbles in tubes. J. Fluid Mech. 10, 166–188.
3. Cox, B. G. 1962 On driving a viscous fluid out of a tube. J. Fluid Mech. 14, 81–96.
4. Kreiss, B. 1983 Construction of a curvilinear grid. SIAM J. Sci. Stat. Comput. 4, 270–279.
5. Park, C. W. & Homsy, G. M. 1984 Two-phase displacement in Hele Shaw cells: theory. J. Fluid Mech. 139, 291–308.
6. Reinelt, D. A. & Saffman, P. G. 1985 The penetration of a finger into a viscous fluid in a channel and tube. SIAM J. Sci. Stat. Comput. 6, 542–561.
7. Silliman, W. J. & Scriven, L. E. 1980 Separating flow near a static contact line: slip at a wall and shape of a free surface. J. Comp. Phy. 34, 287–313.
8. Youngren, G. K. & Acrivos, A. 1976 On the shape of a gas bubble in a viscous extensional flow. J. Fluid Mech. 76, 438–442.