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Related Experiment Video

Updated: Jul 2, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Instabilities in buoyant flows under localized heating.

M C Navarro¹, A M Mancho, H Herrero

¹Departamento de Matemáticas, Facultad de Ciencias Químicas, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.

Chaos (Woodbury, N.Y.)

|July 7, 2007

Summary

This summary is machine-generated.

This study numerically investigates fluid instabilities in a free-surface layer within a cylinder heated nonhomogeneously from below. Researchers identified target patterns and spiral waves, even at infinite Prandtl numbers, revealing complex fluid dynamics.

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Area of Science:

Fluid dynamics
Nonlinear dynamics
Computational physics

Background:

Free surface fluid layers are crucial in various natural and industrial processes.
Understanding instabilities in nonhomogeneously heated systems is key to predicting complex behaviors.
Previous studies often focused on simpler heating conditions.

Purpose of the Study:

To numerically investigate instabilities in a fluid layer with a free surface in a cylindrical container.
To analyze the impact of localized heating from below on fluid behavior.
To characterize different types of instabilities, including target patterns and spiral waves.

Main Methods:

Numerical simulations of fluid dynamics.
Analysis of axisymmetric basic states and bifurcations.
Parametric study of dimensionless variables influencing instability patterns.

Main Results:

An axisymmetric basic state forms with imposed horizontal temperature gradients.
Identified instabilities include extended patterns (targets) and spiral waves.
Spiral waves persist even at infinite Prandtl numbers.
Localized structures emerge via Hopf or stationary bifurcations.

Conclusions:

Localized heating in a free-surface fluid layer can lead to diverse instabilities.
The study provides a comprehensive overview of these instabilities as a function of system parameters.
Findings are relevant for understanding pattern formation in confined fluid systems.