TY - JOUR
T1 - Steady rimming flows with surface tension
AU - Benilov, E. S.
AU - Benilov, M. S.
AU - Kopteva, N.
PY - 2008/2/25
Y1 - 2008/2/25
N2 - We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, the fluid accumulates on the 'rising' side of the cylinder and, for large ones, pools at the cylinder's bottom. The paper examines rimming flows with a pool affected by weak surface tension. Using the lubrication approximation and the method of matched asymptotics, we find a solution describing the pool, the 'outer' region, and two transitional regions, one of which includes a variable (depending on the small parameter) number of asymptotic zones.
AB - We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, the fluid accumulates on the 'rising' side of the cylinder and, for large ones, pools at the cylinder's bottom. The paper examines rimming flows with a pool affected by weak surface tension. Using the lubrication approximation and the method of matched asymptotics, we find a solution describing the pool, the 'outer' region, and two transitional regions, one of which includes a variable (depending on the small parameter) number of asymptotic zones.
UR - http://www.scopus.com/inward/record.url?scp=39049098151&partnerID=8YFLogxK
U2 - 10.1017/S0022112007009585
DO - 10.1017/S0022112007009585
M3 - Article
AN - SCOPUS:39049098151
SN - 0022-1120
VL - 597
SP - 91
EP - 118
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -