On the stability of a falling liquid curtain
2002 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 463, 163-171 p.Article in journal (Refereed) Published
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 multi-modal 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.
Place, publisher, year, edition, pages
2002. Vol. 463, 163-171 p.
IdentifiersURN: urn:nbn:se:kth:diva-21826DOI: 10.1017/s0022111200200873xISI: 000177475400005OAI: oai:DiVA.org:kth-21826DiVA: diva2:340524
QC 201005252010-08-102010-08-10Bibliographically approved