Dispersion relations, capillary waves, and the Rayleigh-Plateau instability-Reference-Cited by-同舟云学术

Dispersion relations, capillary waves, and the Rayleigh-Plateau instability

Published:2022-06-10 Issue:2 Volume:14 Page:75-85
ISSN:2247-4528
Container-title:INCAS BULLETIN
language:en
Short-container-title:INCAS BULLETIN

Author:

PATRASCU Claudiu¹,BALAN Corneliu²

Affiliation:

1. “POLITEHNICA” University of Bucharest, Splaiul Independenţei 313, 060042, Bucharest, Romania, claudiu.patrascu@upb.ro

2. POLITEHNICA” University of Bucharest, Splaiul Independenţei 313, 060042, Bucharest, Romania, corneliu.balan@upb.ro

Abstract

The paper shows the importance of the dispersion relation in characterizing the capillary waves seen on liquid jets. Several theoretical models are given to better understand the stability of cylindrical interfaces when various parameters are considered, such as confinement, bulk elasticity, or the viscosity ratio between the two liquid phases. Theoretical predictions are compared with experimental data in terms of the fastest-growing mode for several liquid-in-air systems. Capillary-wave decay factors are also investigated, for stationary wave trains created at the impact of a liquid jet on a horizontal liquid bath, via the dispersion relation.

Publisher

INCAS - National Institute for Aerospace Research Elie Carafoli

Subject

Aerospace Engineering,Control and Systems Engineering

Reference20 articles.

1. [1] L. Rayleigh, On the instability of jets, Proceedings of the London Mathematical Society, 1(1), 4-13, 1878.

2. [2] L. Rayleigh, XVI. On the instability of a cylinder of viscous liquid under capillary force, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 34(207), 145-154, 1892.

3. [3] J. Eggers & E. Villermaux, Physics of liquid jets, Reports on Progress in Physics, 71(3), 036601, 2008.

4. [4] S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, Courier Corporation, 2013.

5. [5] S. Tomotika, On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid, Proceedings of the Royal Society of London. Series A-Mathematical and Physical Sciences, 150(870), 322-337, 1935.

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