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Related Experiment Video

Updated: Jun 1, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

ON THE GENERALISED FANT EQUATION.

M S Howe¹, R S McGowan

¹Boston University, College of Engineering, 110 Cummington Street, Boston MA 02215.

Journal of Sound and Vibration

|May 24, 2011

Summary

This summary is machine-generated.

This study systematically derives Fant's reduced complexity equation for glottis volume velocity, enhancing speech production models. A new source term for vocal fold drag was identified, improving aeroacoustic simulations.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

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Last Updated: Jun 1, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Acoustics
Fluid Dynamics
Speech Science

Background:

Accurate modeling of voiced speech production requires understanding fluid-structure interactions in the vocal tract and glottis.
Numerical simulations of vocal tract aeroacoustics are often computationally expensive.
Fant's 'reduced complexity' equation simplifies glottis volume velocity (Q) calculations, but lacks a rigorous derivation.

Purpose of the Study:

To provide a systematic derivation of Fant's equation for glottis volume velocity (Q) based on aerodynamic sound principles.
To replace the heuristic approach of Fant's original equation with a method dependent on flow geometry and boundary conditions.
To identify and characterize the source terms governing glottis volume velocity.

Main Methods:

Derivation of Fant's equation from the exact equations of aerodynamic sound.
Application of free streamline theory to model vocal fold dynamics, including surface friction and flow separation.
Analysis of a simplified vocal system with a self-sustaining single-mass model of the vocal folds.

Main Results:

A systematic derivation of Fant's reduced complexity equation for glottis volume velocity (Q) is presented.
The derivation's accuracy is linked to the precision of specified time-varying flow geometry and boundary conditions.
A novel source term related to unsteady vocal fold drag due to oscillatory motion was identified.

Conclusions:

The derived method offers a more rigorous foundation for simplified aeroacoustic modeling of speech production.
The identified vocal fold drag source term provides new insights into the fluid dynamics of phonation.
This approach enhances the accuracy and efficiency of modeling voiced speech production.