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Applied Mathematics and Mechanics

, Volume 38, Issue 8, pp 1127–1148 | Cite as

Triad resonant wave interactions in electrically charged jets

  • S. Orizaga
  • D. N. Riahi
Article
  • 63 Downloads

Abstract

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 fa- vorable 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.

Keywords

nonlinear wave interaction triad wave spatio-temporal instability 

Chinese Library Classification

O327 

2010 Mathematics Subject Classification

76E20 76W05 76Exx 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ArizonaTucsonUSA
  2. 2.Department of MathematicsUniversity of Texas Rio Grande ValleyBrownsvilleUSA

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