Air-water interactions near droplet impact

Purvis, R. and Smith, F. T. (2004) Air-water interactions near droplet impact. European Journal of Applied Mathematics, 15. pp. 853-871. ISSN 0956-7925

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Abstract

The effects of the thin air layer entering play when a water droplet impacts on otherwise still water or on a fixed solid are studied theoretically with special attention on surface tension and on post-impact behaviour. The investigation is based on the small density and viscosity ratios of the two fluids. In certain circumstances, and in particular for droplet Reynolds numbers below a critical value which is about ten million, the air-water interaction depends to leading order on lubricating forces in the air coupled with potential flow dynamics in the water. The nonlinear integro-differential system for the evolution of the interface and induced pressure is studied for pre-impact surface tension effects, which significantly delay impact, and for post-impact interaction phenomena which include significant decrease of the droplet spread rate. Above-critical Reynolds numbers are also considered.

Item Type: Article
Faculty \ School: Faculty of Science
Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Vishal Gautam
Date Deposited: 01 Dec 2004
Last Modified: 15 Dec 2022 11:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/17666
DOI: 10.1017/S0956792504005674

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