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Experimental and theoretical investigation of cubic stabilization of instability of an interface in surface wave motion

Jamali, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1063/1.5128749
  3. Publisher: American Institute of Physics Inc , 2020
  4. Abstract:
  5. Motivated by recent laboratory and field observations, this paper reports the first quantitative measurements of the stabilization phase of interfacial instability in a two-layer fluid in surface wave motion. The instability results from the formation of a resonant triad between the surface wave and noise-level sub-harmonic interfacial waves. To exclude the effects of interfacial mixing on the interaction, the experiments were carried out with immiscible fluids. Carrying out a resonant interaction analysis to the third order of nonlinearity using a Lagrangian formulation, we also show for the first time that the three-wave resonance is inherently accompanied by a harmonic four-wave resonant interaction among the interfacial waves. Omitting the four-wave resonant interaction terms from the analysis results in over-prediction of the final amplitude of the interfacial waves by a factor greater than 2. The theoretical predictions are well-supported by the experiments. © 2020 Author(s)
  6. Keywords:
  7. Fluid dynamics ; Fluids ; Stabilization ; Cubic stabilization ; Interfacial instability ; Lagrangian formulations ; Quantitative measurement ; Resonant interaction ; Surface wave motion ; Theoretical investigations ; Three-wave resonance ; Surface waves
  8. Source: Physics of Fluids ; Volume 32, Issue 2 , 26 February , 2020
  9. URL: https://aip.scitation.org/doi/10.1063/1.5128749