Steady rimming flows with surface tension

Journal of Fluid Mechanics

Volumn 597, Issue , 2008, Pages 91-118

  Benilov, E S ^a   Benilov, M S ^b   Kopteva, N ^a  

^a UNIVERSITY OF LIMERICK   (Ireland)

^b UNIVERSITY OF MADEIRA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC ANALYSIS; CYLINDERS (SHAPES); SURFACE TENSION; THIN FILMS; VISCOUS FLOW;

RIMMING FLOW; VISCOUS FLUID;

STEADY FLOW;

APPROXIMATION THEORY; ASYMPTOTIC ANALYSIS; CYLINDERS (SHAPES); STEADY FLOW; SURFACE TENSION; THIN FILMS; VISCOUS FLOW;

CYLINDER; STEADY FLOW; SURFACE TENSION; VISCOUS FLOW;

EID: 39049098151     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007009585     Document Type: Article

References (13)

1. ASHMORE, J., HOSOI, A. E. & STONE, H. A. 2003 The effect of surface tension on rimming flows in a partially filled rotating cylinder. J. Fluid Mech. 479, 65-98.
2. BENILOV, E. S. & O'BRIEN, S. B. G. 2005 Inertial instability of a liquid film inside a rotating horizontal cylinder. Phys. Fluids 17, 052106.
3. BENJAMIN, T. B., PRITCHARD, W. G. & TAVENER, S. J. 1993 Steady and unsteady flows of a highly viscous liquid inside a rotating horizontal cylinder. Unpublished manuscript.
4. HINCH, E. J. 1991 Perturbation Methods. Cambridge University Press.
5. JEONG, J.-T. & MOFFATT, H. K. 1992 Free-surface cusps associated with a flow at low Reynolds number. J. Fluid Mech. 241, 1-22.
6. JOHNSON, R. E. 1990 Coating flow stability in rotating molding. In Engineering Science, Fluid Dynamics: A Symposium to Honor T.Y. Wu (ed. G. T. Yates), pp. 435-449. World Scientific.
7. LANDAU, L. & LEVICH, B. 1942 Dragging of liquid by a plate. Acta Physiochim. USSR 17, 42-54.
8. MOFFATT, H. K. 1977 Behaviour of a viscous film on the outer surface of a rotating cylinder. J. Fluid Mech. 16, 651-574.
9. O'BRIEN, S. B. G. 2002 Linear stability of rimming flows. Q. Appl. Maths. 60, 201-212.
10. O'BRIEN, S. B. G. & GATH, E. G. 1998 The location of a shock in rimming flow. Phys. Fluids 10, 1040-1042.
11. PRESS, W. H., TEULKOLSKY, S. A., VETTERLING, W. T. & FLANNERY, B. P. 1992 Numerical Recipes, 2nd Edn. Cambridge University Press.
12. WILSON, S. D. R. 1982 The drag-out problem in film coating theory. J. Engng Maths 16, 209-221.
13. WILSON, S. D. R. & JONES, A. F. 1983 The entry of a falling film into a pool and the air-entrainment problem. J. Fluid Mech. 128 219-230.