Triad resonant wave interactions in electrically charged jets

doi:10.1007/s10483-017-2229-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (8): 1127-1148.doi: https://doi.org/10.1007/s10483-017-2229-9

Triad resonant wave interactions in electrically charged jets

S. ORIZAGA¹, D. N. RIAHI²

1. Department of Mathematics, University of Arizona, Tucson 85735, Arizona, U.S.A;
2. Department of Mathematics, University of Texas Rio Grande Valley, Brownsville, Texas 78520, U.S.A

收稿日期:2016-09-05 修回日期:2017-03-20 出版日期:2017-08-01 发布日期:2017-08-01
通讯作者: S.ORIZAGA,E-mail:sorizaga@math.arizona.edu E-mail:sorizaga@math.arizona.edu
基金资助:
Project supported by the National Science Foundation of U.S.A. (No. DMS-0946431)

Triad resonant wave interactions in electrically charged jets

S. ORIZAGA¹, D. N. RIAHI²

1. Department of Mathematics, University of Arizona, Tucson 85735, Arizona, U.S.A;
2. Department of Mathematics, University of Texas Rio Grande Valley, Brownsville, Texas 78520, U.S.A

Received:2016-09-05 Revised:2017-03-20 Online:2017-08-01 Published:2017-08-01
Contact: S.ORIZAGA E-mail:sorizaga@math.arizona.edu
Supported by:
Project supported by the National Science Foundation of U.S.A. (No. DMS-0946431)

摘要/Abstract

摘要：

Nonlinear instability in electrically charged jets is studied using the governing electro-hydrodynamic equations describing stretching and thinning of a liquid jet. A jet flow system subject to both space and time evolving disturbances is considered. At the linear stage, the Rayleigh and conducting jet flow instability modes are uncovered. Nonlinear instability in the flow is explored via triad resonant waves which uncover favorable operating modes not previously detected in the linear study of the problem. In particular, the jet radius is significantly reduced, and the electric field of the jet is properly oriented under the nonlinear study. It is found that taking into account the resonance triad modes provides a better mathematical description of a jet that stretches and thins due to tangential electric field effects. Both linear and nonlinear instability results in the jet flow system are presented and discussed.

关键词: functional differential equation, oscillation, nonlinear, Lebesgue measure, nonlinear wave interaction, triad wave, spatio-temporal instability

Abstract:

Key words: functional differential equation, oscillation, nonlinear, Lebesgue measure, triad wave, nonlinear wave interaction, spatio-temporal instability

中图分类号:

S. ORIZAGA, D. N. RIAHI. Triad resonant wave interactions in electrically charged jets[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(8): 1127-1148.

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Triad resonant wave interactions in electrically charged jets

Triad resonant wave interactions in electrically charged jets

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