Skip to Main content Skip to Navigation
Journal articles

On the stability of a falling liquid curtain

Abstract : The stability of a falling liquid curtain is investigated. The sheet of liquid is assumed two-dimensional, driven by gravity and influenced by a compressible cushion of air enclosed on one side of the curtain. The linear stability problem is formulated in the form of an integro-differential eigenvalue problem. Although experimental efforts have consistently reported a peak in the low-frequency range of the spectrum, the linear stability results do not show instabilities at these frequencies. However, a multimodal approach combined with a projection onto low-frequency modes reveals a dominant and robust instability feature that is in good agreement with experimental measurements. This instability manifests itself as a wave packet, consisting of a linear superposition of linear global modes, that travels down the curtain and causes a strong pressure signal in the enclosed air cushion.
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download
Contributor : Denis Roura Connect in order to contact the contributor
Submitted on : Wednesday, September 3, 2014 - 12:53:49 PM
Last modification on : Monday, July 27, 2020 - 1:00:05 PM
Long-term archiving on: : Thursday, December 4, 2014 - 10:07:21 AM


Publisher files allowed on an open archive




Peter J. Schmid, D.S. Henningson. On the stability of a falling liquid curtain. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2002, 463 (july), pp.163-171. ⟨10.1017/s002211200200873x⟩. ⟨hal-01024914⟩



Record views


Files downloads