Liquid–solid impacts with compressible gas cushioning

Hicks, Peter D. and Purvis, Richard (2013) Liquid–solid impacts with compressible gas cushioning. Journal of Fluid Mechanics, 735. pp. 120-149. ISSN 0022-1120

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Abstract

The role played by gas compressibility in gas-cushioned liquid–solid impacts is investigated within a viscous gas and inviscid liquid regime. A full analysis of the energy conservation in the gas is conducted for the first time, which indicates that both thermal diffusion across the gas film and viscous dissipation play an important role in gas cushioning once gas compression becomes significant. Consequently existing models of gas compressibility based on either an isothermal or an adiabatic equation of state for the gas do not fully reflect the physics associated with this phenomenon. Models incorporating thermal diffusion and viscous dissipation are presented, which are appropriate for length scales consistent with droplet impacts, and for larger scale liquid–solid impacts. The evolution of the free surface is calculated alongside the corresponding pressure, temperature and density profiles. These profiles indicate that a pocket of gas can become trapped during an impact. Differences between the new model and older models based on isothermal and adiabatic equations of state are discussed, along with predictions of the size of the trapped gas pocket.

Item Type:	Article
Uncontrolled Keywords:	compressible flows,drops and bubbles,liquid flows,sdg 7 - affordable and clean energy ,/dk/atira/pure/sustainabledevelopmentgoals/affordable_and_clean_energy
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Pure Connector
Date Deposited:	11 Nov 2013 14:28
Last Modified:	31 Oct 2022 14:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/44374
DOI:	10.1017/jfm.2013.487

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