Physics – Fluid Dynamics
Scientific paper
2007-07-13
Physics
Fluid Dynamics
13 pages, 22 eps figures
Scientific paper
10.1103/PhysRevE.77.036301
It is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations. We present an experimental study using fluids with different densities, surface tensions and viscosities to investigate the growth and dynamics of these interfacial perturbations and to test the assumptions made by previous authors. We find the initial perturbation growth is exponential followed by a slower phase as the amplitude and wavelength saturate in size. Measurements of the perturbation growth for experiments conducted at low and moderate Reynolds numbers are compared to theoretical predictions developed from linear stability theory. Excellent agreement is found between predictions from a long-wave Stokes flow model (Craster & Matar, J. Fluid Mech. 553, 85 (2006)) and data, while fair agreement is found between predictions from a moderate Reynolds number model (Sisoev et al., Chem. Eng. Sci. 61, 7279 (2006)) and data. Furthermore, we find that a known transition in the longer-time perturbation dynamics from unsteady to steady behavior at a critical flow rate, Qc, is correlated to a transition in the rate at which perturbations naturally form along the fiber. For Q < Qc (steady case), the rate of perturbation formation is constant. As a result the position along the fiber where perturbations form is nearly fixed, and the spacing between consecutive perturbations remains constant as they travel 2 m down the fiber. For Q > Qc (unsteady case), the rate of perturbation formation is modulated. As a result the position along the fiber where perturbations form oscillates irregularly, and the initial speed and spacing between perturbations varies resulting in the coalescence of neighboring perturbations further down the fiber.
Guerra Bree K.
North Justin
Smolka Linda B.
No associations
LandOfFree
Dynamics of Free Surface Perturbations Along an Annular Viscous Film does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamics of Free Surface Perturbations Along an Annular Viscous Film, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of Free Surface Perturbations Along an Annular Viscous Film will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-253630