Wavy regimes of film flow down a fiber.
We consider axisymmetric traveling waves propagating on the gravity-driven flow of a liquid down a vertical fiber. Our starting point is the two-equation model for the flow derived in the study by Ruyer-Quil et al. [J. Fluid Mech. 603, 431 (2008)]. The speed, amplitude, and shape of the traveling waves are obtained for a wide range of parameters by using asymptotic analysis and elements from dynamical systems theory. Four different regimes are identified corresponding to the predominance of four different physical effects: advection by the flow, azimuthal curvature, inertia, and viscous dispersion. Construction of the traveling-wave branches of solutions reveals complex transitions from one regime to another. A phase diagram of the different regimes in the parameter space is constructed.
UPMC Université Paris 06, Université Paris-Sud, CNRS, Lab FAST, Bat 502, Campus Université, Orsay, France.
Christian
C
Ruyer-Quil
Serafim
S
Kalliadasis