Capillary and viscous perturbations to Helmholtz flows

Moore, Matthew; Ockendon, Hilary; Ockendon, John; Oliver, James

Abstract

Inspired by recent calculations by Thoraval et al. (Phys. Rev. Lett., vol. 108, 2012, p. 264506) relating to droplet impact, this paper presents an analysis of the perturbations to the free surface caused by small surface tension and viscosity in steady Helmholtz flows. In particular, we identify the regimes in which appreciable vorticity can be shed from the boundary layer to the bulk flow.

Citation

Moore, M., Ockendon, H., Ockendon, J., & Oliver, J. (2014). Capillary and viscous perturbations to Helmholtz flows. Journal of Fluid Mechanics, 742, Article R1. https://doi.org/10.1017/jfm.2014.39

• Journal Article Type: Article
• Acceptance Date: Jan 14, 2014
• Online Publication Date: Feb 21, 2014
• Publication Date: Mar 10, 2014
• Deposit Date: Mar 25, 2022
• Journal: Journal of Fluid Mechanics
• Print ISSN: 0022-1120
• Electronic ISSN: 1469-7645
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 742
• Article Number: R1
• DOI: https://doi.org/10.1017/jfm.2014.39
• Keywords: Mechanical Engineering; Mechanics of Materials; Condensed Matter Physics
• Public URL: https://hull-repository.worktribe.com/output/3954393