Affiliation:
1. Department of Applied Mechanics, Indian Institute of Technology Madras 1 , Chennai 600036, India
2. Department of Metallurgical and Materials Engineering, Indian Institute of Technology Madras 2 , Chennai 600036, India
Abstract
We present a study of novel, surface tension driven plumes that form at the periphery of fast expanding, circular ethanol–water films that emanate from millimeter sized ethanol–water drops floating at the surface of a deep water layer. Visualizing these plumes that are azimuthally uniformly spaced, using floating particles, we measure their lengths (lp), radial velocities (Up), and mean azimuthal spacings (λp). We show through a model that a balance between the surface tension force across lp and the viscous resistance in an underlying boundary layer results in lp∼lσμδbl, where lσμ is a Marangoni length scale and δbl is the boundary layer thickness. The model also predicts that Up∼Uσ3/Uν, where Uσ is a velocity scale balancing inertia and surface tension and Uν=δbl/t is the velocity scale of momentum diffusion. These predictions are shown to be in agreement with our experimentally observed variations of lp and Up. The observed variation of λp, which we show not to match the predictions of any of the available instability theories, is shown to scale as λp∼rfOhd2/3/(ξ1/3χ3), where Ohd is the drop Ohnesorge number, rf is the film radius, and ξ and χ are the viscosity and the density ratios.
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering
Cited by
2 articles.
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