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Related Concept Videos

The Thermodynamics of Mixing01:28

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Mixing is a fascinating phenomenon in thermodynamics, particularly when considering the Gibbs energy of a mixture at constant temperature and pressure. This energy, denoted as G, tends to decrease during spontaneous mixing processes, offering insights into the composition changes that occur.Imagine two ideal gases, initially separated in different containers, with amounts nA and nB, respectively, both at a temperature T and pressure p. The chemical potentials of these gases have their 'pure'...
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Related Experiment Video

Updated: May 6, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
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New directions for Rayleigh-Taylor mixing.

James Glimm1, David H Sharp, Tulin Kaman

  • 1Department of Applied Mathematics and Statistics, Stony Brook University, , Stony Brook, NY 11794-3600, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 23, 2013
PubMed
Summary

Simulations of Rayleigh-Taylor (RT) mixing layers show that long-wavelength perturbations have a minor effect on growth rates, contradicting some models. This research improves predictive capabilities for complex physics problems.

Keywords:
Rayleigh–Taylor mixingfront trackingmixing layerturbulent diffusion

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Rayleigh-Taylor (RT) instability is crucial for understanding gravitationally induced mixing in oceanography and inertial confinement fusion.
  • Current engineering codes often rely on parameter calibration, making them interpolative rather than predictive.
  • Reducing reliance on experimental data requires predictive computational science, necessitating error diagnosis in complex multi-physics problems.

Purpose of the Study:

  • To validate engineering codes in an idealized Rayleigh-Taylor mixing layer setting.
  • To investigate the impact of long-wavelength perturbations on RT mixing growth rates.
  • To compare simulation results with experimental data and identify model inconsistencies.

Main Methods:

  • Utilizing front tracking/large eddy simulations with increased mesh resolution.
  • Inferring a self-similar power law for initial perturbation amplitudes from experimental data.
  • Analyzing the effect of long-wavelength perturbations on the dimensionless RT growth rate parameter, α.

Main Results:

  • Simulations show agreement with experimental data.
  • The growth rate parameter α is non-universal, as revealed by advanced simulations.
  • Long-wavelength perturbations have a maximum ±5% effect on the growth rate, contrary to predictions of larger effects.

Conclusions:

  • Large predicted effects (factors of 2) on growth rates are inconsistent with experimental data.
  • Inconsistencies in some models stem from their treatment of shortest-wavelength bubble dynamics.
  • An alternative bubble merger model for shortest wavelengths aligns with experimental findings.