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Study of polygonal water bells: inertia-dominated thin-film flows over microtextured surfaces

Published online by Cambridge University Press:  13 March 2013

Emilie Dressaire ,
Laurent Courbin ,
Adrian Delancy ,
Marcus Roper  and
Howard A. Stone
Emilie Dressaire*
Affiliation:
Department of Engineering, Trinity College, Hartford, CT 06106, USA
Laurent Courbin
Affiliation:
Institut de Physique de Rennes, UMR CNRS 6251, Campus Beaulieu, Université Rennes 1, 35042 Rennes, France
Adrian Delancy
Affiliation:
School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
Marcus Roper
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA
Howard A. Stone
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

Microtextured surfaces are commonly used to study complex hydrodynamic phenomena such as spreading and splashing of liquid droplets. However, although surface topography is known to modify near-surface flow, there is no theory able to quantitatively predict the dramatic changes in dynamics of liquid spreading and splashing. Here, we investigate experimentally water bells formed on micropatterned surfaces in order to characterize the hydrodynamics of inertia-dominated flows through regular porous layers. Water bells are self-suspended catenary-shaped liquid films created when a jet impinges on a horizontal disc called an impactor. We show that the presence of micrometre-sized posts regularly arranged on the impactor results in a decrease of the water bell radius and the loss of axisymmetry as open water bells adopt polygonal shapes. We introduce a simple model that captures the main features of the inertia-dominated flow and reveals the role of the hydrodynamic interactions between neighbouring posts. In addition to their applications for tunable jet atomization, these polygonal sheets provide a paradigmatic system for understanding inertia-dominated flow in porous media.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Low-Reynolds-number flows: Porous media Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 721 , 25 April 2013 , pp. 46 - 57
Copyright
©2013 Cambridge University Press

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