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Temporally harmonic oscillons in newtonian fluids
1The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Physical Review Letters
|September 16, 2000
Summary
Localized oscillon structures appear in Newtonian fluids with nonlinear surface waves. These stable, self-focusing wave patterns are temporally harmonic, unlike those in non-Newtonian fluids.
Area of Science:
- Fluid dynamics
- Nonlinear physics
- Wave phenomena
Background:
- Parametric excitation of surface waves can lead to complex patterns.
- Oscillons, or localized structures, have been observed in non-Newtonian fluids.
- Understanding wave behavior in Newtonian fluids is crucial for various applications.
Purpose of the Study:
- To investigate the formation and characteristics of localized structures (oscillons) in a Newtonian fluid.
- To compare oscillon behavior in Newtonian fluids with that in non-Newtonian media.
- To analyze the bifurcation and symmetry properties of these oscillon states.
Main Methods:
- Parametric excitation of nonlinear surface waves in a Newtonian fluid using two frequencies.
- Observation and characterization of stationary, localized structures (oscillons).
- Analysis of the temporal and spatial symmetries of the observed wave patterns.
Main Results:
- Stationary, highly localized oscillon structures were observed.
- Oscillons exhibited a characteristic structure of periodically self-focusing jets.
- These oscillons were temporally harmonic with the forcing, differing from non-Newtonian cases.
- Oscillons nucleated via hysteretic bifurcation above a critical wave amplitude.
Conclusions:
- Parametrically excited surface waves in Newtonian fluids can form stable, localized oscillon structures.
- The observed oscillons are temporally harmonic and exhibit hysteretic nucleation.
- These findings expand the understanding of localized wave phenomena in different fluid media.
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