On the stability of rimming flows to two-dimensional disturbances

Fluid Dynamics Research

Volumn 33, Issue 1-2, 2003, Pages 141-172

  Villegas Diaz M ^a   Power, H ^a   Riley, D S ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Linear stability; Lubrication theory; Rimming flow; Surface shear

Indexed keywords

LUBRICATION; MATHEMATICAL MODELS; PROBLEM SOLVING;

RIMMING FLOWS;

VISCOUS FLOW;

CYLINDER; LIQUID FILM; LUBRICATION THEORY; MATHEMATICAL MODELING; SHEAR STRESS; VISCOUS FLUID;

EID: 0038508848     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(03)00043-1     Document Type: Article

References (11)

1. Ashmore, J.J., Hosoi, A.H., Stone, H.A., 2003. The effect of surface tension on rimming flows in a partially filled rotating cylinder. Preprint.
2. Benjamin, T.B., Pritchard, W.G., Tavener, S.J., 1993. Steady and unsteady flows of a highly viscous liquid inside a rotating horizontal cylinder. Preprint.
3. Eres M.H. Schwartz L.W. Roy R.V. Fingering phenomena for driven coating flows Phys. Fluids 12 2000 1278-1295
4. Hosoi A.E. Mahadevan L. Axial instability of a free surface front in a partially filled horizontal rotating cylinder Phys. Fluids 11 1999 97-106
5. Johnson R.E. Steady-state coating flows inside a rotating horizontal cylinder J. Fluid Mech. 190 1988 321-342
6. Moffatt H.K. Behaviour of a viscous film on the outer surface of a rotating cylinder J. Mec. 16 1977 651-673
7. Noakes, C.J., 2001. The dynamics of liquid films on rotating surfaces. Ph.D. Thesis, University of Nottingham.
8. O'Brien S.B.G. Gath E.G. The location of a shock in a rimming flow Phys. Fluids 10 1998 1040-1042
9. Thorrodsen S.T. Mahadevan L. Experimental study of coating flows in a partially-filled horizontally rotating cylinder Exp. Fluids 23 1997 1-13
10. Tirumkudulu M. Acrivos A. Coating flows within a rotating horizontal cylinder: lubrication analysis, numerical computations, and experimental measurements Phys. Fluids 13 2001 14-19
11. Wilson S.K. Hunt R. Duffy B.R. On the critical solutions in coating and rimming flow on a uniformly rotating horizontal cylinder Q. J. Mech. Appl. Math. 55 2002 357-387