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Updated: Jun 22, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Rayleigh-Taylor instability in elastic solids.

A R Piriz¹, J J López Cela, O D Cortázar

¹E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.

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

|December 31, 2005

Summary

This summary is machine-generated.

We developed an analytical model for Rayleigh-Taylor instability in accelerated elastic solids. This model accurately describes instability growth rates and transient phases, offering a more general approach for complex physics.

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Area of Science:

Physics
Solid Mechanics
Fluid Dynamics

Background:

Rayleigh-Taylor instability is crucial in various physical phenomena.
Existing models for instability analysis have limitations in scope and applicability.
Understanding instability in accelerated elastic solids is essential for material science.

Purpose of the Study:

To present a novel analytical model for Rayleigh-Taylor instability.
To describe instability physics in the linear regime for accelerated elastic solids.
To provide a more general framework for instability analysis.

Main Methods:

The model is derived from Newton's second law.
It analyzes instability at solid/solid and solid/fluid interfaces.
The model incorporates arbitrary Atwood numbers and initial conditions.

Main Results:

The model accurately predicts asymptotic instability growth rates.
It captures the initial transient phase of the instability.
Results show excellent agreement with existing exact solutions.

Conclusions:

The developed model offers an accurate and versatile description of Rayleigh-Taylor instability.
It extends previous models by accommodating more complex physics.
This approach is expected to facilitate a broader theory, including transitions to plastic regimes.