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A R Piriz1, J J López Cela1, S A Piriz2

  • 1Instituto de Investigaciones Energéticas (INEI), E.T.S.I.I., and CYTEMA, <a href="https://ror.org/05r78ng12">Universidad de Castilla-La Mancha</a>, 13071 Ciudad Real, Spain.

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This summary is machine-generated.

A new model explains Rayleigh-Taylor instability, capturing the transition to nonlinear behavior. It resolves issues with the buoyancy-drag model by naturally accounting for fluid mass, explaining velocity saturation and reacceleration.

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Area of Science:

  • Fluid Dynamics
  • Plasma Physics
  • Astrophysical Phenomena

Background:

  • Rayleigh-Taylor instability is crucial in various physical systems.
  • Existing models like the buoyancy-drag model (BDM) have limitations in explaining nonlinear behavior.
  • Understanding instability evolution is key to predicting phenomena from inertial confinement fusion to supernova evolution.

Purpose of the Study:

  • Develop an extended model for two-dimensional Rayleigh-Taylor instability.
  • Describe the transition from linear to nonlinear regimes.
  • Address limitations of previous models, including velocity saturation and reacceleration phases.

Main Methods:

  • Extension of a previous linear model based on Newton's second law.
  • Inclusion of the mass of fluids participating in the instability.
  • Analysis of laterally displaced mass during instability evolution.

Main Results:

  • The model naturally predicts bubble and spike velocity saturation without a drag term.
  • It explains bubble reacceleration without invoking Kelvin-Helmholtz instability.
  • The model shows perfect agreement with the BDM but extends its applicability and resolves issues.

Conclusions:

  • The developed model offers a more consistent physical picture of Rayleigh-Taylor instability.
  • It successfully captures nonlinear dynamics, including velocity saturation and reacceleration.
  • This work provides a more comprehensive understanding of fluid instabilities in various scientific domains.