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Related Experiment Video

Updated: Mar 21, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Rayleigh-Bénard convection with two-frequency temperature modulation.

Puneet Kaur¹, Jitender Singh¹, Renu Bajaj²

¹Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, Punjab, India.

Physical Review. E

|May 14, 2016

Summary

This summary is machine-generated.

Analyzing fluid dynamics, this study numerically investigates Rayleigh-Bénard convection with dual-frequency heating. Results show new bicritical states and complex instabilities controlled by modulation parameters and fluid properties.

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Area of Science:

Fluid dynamics
Nonlinear dynamics
Heat transfer

Background:

Rayleigh-Bénard convection is a fundamental process in heat transfer.
Understanding fluid behavior under time-periodic boundary conditions is crucial for various applications.
Single-frequency modulation effects on convection are well-documented, but dual-frequency effects are less explored.

Purpose of the Study:

To numerically analyze the response of Rayleigh-Bénard convection to time-periodic heating with a mixture of two frequencies.
To investigate how the ratio of frequencies and amplitude mixing influence system instability.
To identify and characterize new instability states arising from dual-frequency forcing.

Main Methods:

Numerical simulation of fluid flow and heat transfer.
Analysis of bifurcation phenomena and instability onset.
Parameter space exploration varying modulation frequencies, amplitudes, and fluid Prandtl number.

Main Results:

The system exhibits complex instabilities, including harmonic and subharmonic responses, similar to single-frequency forcing.
Dual-frequency modulation introduces additional bicritical states not observed with single-frequency excitation.
The onset of instability is highly sensitive to modulation parameters (frequency ratio, amplitude mixing) and the fluid's Prandtl number.

Conclusions:

Dual-frequency time-periodic heating offers enhanced control over Rayleigh-Bénard convection instability.
The presence of multiple frequencies leads to richer dynamical behaviors and more complex phase diagrams.
Further research into nonlinear fluid dynamics with multi-frequency forcing can reveal novel phenomena and applications.