Air cushioning pre-impact dynamics of a wetted body approaching a porous substrate

Moreton, Gavin, Cooker, Mark and Purvis, Richard (2025) Air cushioning pre-impact dynamics of a wetted body approaching a porous substrate. Journal of Engineering Mathematics, 154. ISSN 0022-0833

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Abstract

The impact of liquid-coated solid bodies onto porous substrates, or equivalently the impact of porous bodies onto shallow water layers, are considered. This study investigates the role of air cushioning in the pre-impact dynamics of a wet- ted particle approaching a dry porous medium. By extending a shallow-water air-cushioning model, we develop an asymptotic theory that couples flow in a lubricating air layer, with an inviscid shallow water film, and with Darcy air flow within the porous substrate. Two distinct regimes are identified, namely shallow and intermediate-depth substrates. The formulated models are solved numerically to determine the influence of substrates on impact pressure, bubble formation, and air escape mechanisms. Numerical results, up to the instant of liquid-substrate impact, reveal that at high porosity the substrate significantly reduces the impact pressure and can suppress bubble entrapment. Permeability is shown generally to hasten the liquid film’s descent to the top of the substrate (so-called ‘touchdown’) as the air gap is closed but, perhaps most surprisingly, porosity can delay touchdown in the regime of shallow porous layers. These findings enhance our understanding of impact mechanics on porous media and offer insights into practical applications such as de-icing technologies and controlled particle adhesion in manufacturing processes.

Item Type:	Article
Additional Information:	Data availability: No datasets were generated or analysed during the current study.
Uncontrolled Keywords:	air cushioning,air jet,asymptotics,bubble capture,impact,porous substrate,wet particle
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Fluids & Structures
Depositing User:	LivePure Connector
Date Deposited:	27 Aug 2025 11:30
Last Modified:	27 Aug 2025 11:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/100245
DOI:	10.1007/s10665-025-10477-0

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