Sloshing in a Hele-Shaw cell: experiments and theory

Article English OPEN
Viola , Francesco; Gallaire , Francois; Dollet , Benjamin;
(2017)
  • Publisher: Cambridge University Press (CUP)
  • Related identifiers: doi: 10.1017/jfm.2017.650
  • Subject: [ PHYS.MECA.MEFL ] Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]
    arxiv: Physics::Fluid Dynamics

International audience; The response of the free liquid surface in a Hele-Shaw cell subjected to a horizontal oscillation is investigated. We study the low-oscillation-amplitude regime and we show, by varying the fluid viscosity, ν, and the forcing frequency, ω, that th... View more
  • References (21)
    21 references, page 1 of 3

    Bensimon, D., Kadanoff, L. P., Liang, S., Shraiman, B. I. & Tang, C. 1986 Viscous ows in two dimensions. Rev. Mod. Phys. 58 (4), 977.

    Cantat, I. 2013 Liquid meniscus friction on a wet plate: Bubbles, lamellae, and foams. Phys. Fluids 25 (3), 031303.

    Cocciaro, B., Faetti, S. & Nobili, M. 1991 Capillarity e ects on surface gravity waves in a cylindrical container: wetting boundary conditions. J. Fluid Mech. 231, 325{343.

    Davies, J. T. & Vose, R. W. 1965 On the damping of capillary waves by surface lms. Proc. R. Soc. Lond. A 286 (1405), 218{234.

    Dweyer, H. & Erickson, D. 1969 Hele-shaw and porous medium ow for space fuel systems. In 2nd Fluid and Plasma Dynamics Conference, p. 678.

    Faltinsen, O. M. & Timokha, A. N. 2009 Sloshing. Cambridge University Press.

    Gondret, P. & Rabaud, M. 1997 Shear instability of two- uid parallel ow in a Hele-Shaw cell. Physics of Fluids 9 (11), 3267{3274.

    Ibrahim, R. A. 2005 Liquid Sloshing Dynamics: Theory and Applications . Cambridge University Press.

    Ibrahim, R. A., Pilipchuk, V. N. & Ikeda, T. 2001 Recent advances in liquid sloshing dynamics. Appl. Mech. Rev. 54, 133{199.

    Kalogirou, A., Moulopoulou, E. E. & Bokhove, O. 2016 Variational nite element methods for waves in a hele-shaw tank. Applied Mathematical Modelling 40 (17), 7493{ 7503.

  • Metrics
Share - Bookmark