TY - JOUR
T1 - Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method
AU - Hegarty, Alan F.
AU - O'Brien, Stephen B.G.
AU - Sikwila, Stephen
PY - 2003
Y1 - 2003
N2 - We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.
AB - We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.
KW - finite difference method
KW - lubrication approximation
KW - moving mesh method
KW - rimming flow
UR - http://www.scopus.com/inward/record.url?scp=85025275098&partnerID=8YFLogxK
U2 - 10.2478/cmam-2003-0024
DO - 10.2478/cmam-2003-0024
M3 - Article
AN - SCOPUS:85025275098
SN - 1609-4840
VL - 3
SP - 373
EP - 386
JO - Computational Methods in Applied Mathematics
JF - Computational Methods in Applied Mathematics
IS - 3
ER -