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Updated: May 18, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Instabilities in the Rayleigh-Bénard-Eckart problem.

H Ben Hadid¹, W Dridi, V Botton

¹Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS/Université de Lyon, École Centrale de Lyon/Université Lyon 1/INSA de Lyon, ECL, 36 avenue Guy de Collongue, 69134 Ecully Cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 26, 2012

Summary

Acoustic streaming (Eckart streaming) can stabilize fluid layers heated from below, delaying instability onset. Optimal stabilization occurs with specific acoustic beam widths and higher Prandtl numbers, but not for very low Prandtl numbers.

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Area of Science:

Fluid Dynamics
Acoustics
Heat Transfer

Background:

Eckart streaming, driven by acoustic waves, influences fluid layer stability.
Rayleigh-Bénard convection is a classic model for buoyancy-driven instabilities.

Purpose of the Study:

Analyze the linear stability of fluid layers subjected to both heating from below and Eckart streaming.
Determine the influence of acoustic streaming parameters and fluid properties on instability thresholds.

Main Methods:

Linear stability analysis applied to an infinite horizontal fluid layer.
Investigation of critical Rayleigh number (Ra(c)) dependence on acoustic streaming parameter (A), beam width (H(b)), and Prandtl number (Pr).

Main Results:

A minimum instability threshold was found for an isothermal fluid layer at a normalized beam width of approximately 0.32.
Acoustic streaming can delay instability onset for Prandtl numbers above a critical value (Pr(l)).
Stabilization is enhanced by larger beam widths and Prandtl numbers, while low Prandtl numbers prevent stabilization.

Conclusions:

The study elucidates the complex interplay between acoustic streaming, thermal gradients, and fluid properties in determining flow stability.
Instabilities manifest as oscillatory traveling waves, with their characteristics modified by the streaming flow.