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Related Experiment Video

Updated: May 22, 2026

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

On the Coriolis effect in acoustic waveguides.

Henry Wegert¹, Leonard M Reindl, Werner Ruile

¹Laboratory for Electrical Instrumentation, Department of Microsystems Engineering, University of Freiburg, Georges-Koehler-Allee 103, 79110 Freiburg, Germany.

The Journal of the Acoustical Society of America

|May 8, 2012

Summary

Rotation causes acoustic mode frequency shifts in elastic media. This study derives theoretical upper bounds for these frequency shifts using perturbation theory for linear and nonlinear vibrations.

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Area of Science:

Acoustics
Solid Mechanics
Vibrational Analysis

Background:

Acoustic modes in elastic media exhibit frequency shifts when subjected to rotation.
Understanding these shifts is crucial for analyzing rotating systems in various scientific and engineering fields.

Purpose of the Study:

To investigate the frequency shift of acoustic modes in a rotating elastic medium.
To derive theoretical upper bounds for the first-order and second-order terms of the relative frequency shift.

Main Methods:

Application of perturbation theory to analyze the frequency shift.
Analysis in the regime of small ratios of rotation velocity to acoustic mode frequency.
Expansion of the relative frequency shift in powers of the rotation ratio.

Main Results:

Theoretical upper bounds for the first-order and second-order terms of the relative frequency shift were derived.
The derivation specifically addresses linear vibration modes.
The study also covers stable nonlinear vibrations representable by Fourier series.

Conclusions:

The derived upper bounds provide critical constraints for understanding rotational effects on acoustic modes.
The methodology is applicable to both linear and certain nonlinear vibrational scenarios.
This work contributes to the theoretical framework for analyzing acoustic phenomena in rotating elastic materials.