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Modeling of thermoacoustic systems using the nonlinear frequency domain method.

J A de Jong1, Y H Wijnant1, D Wilcox2

  • 1Structural Dynamics and Acoustics, Faculty of Engineering Technology, University of Twente, Enschede, The Netherlands.

The Journal of the Acoustical Society of America
|October 3, 2015
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This study introduces a fast nonlinear model for thermoacoustic (TA) devices, bypassing costly time integration. The new frequency-domain model accurately simulates TA engines with reduced computational expense.

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Area of Science:

  • * Physics
  • * Acoustics
  • * Thermodynamics

Background:

  • * Nonlinear effects like time-average mass flows and higher harmonics are crucial in high-amplitude thermoacoustic (TA) devices.
  • * Existing models often rely on computationally expensive time integration of nonlinear governing equations.
  • * Accurate modeling of TA devices is essential for understanding and optimizing their performance.

Purpose of the Study:

  • * To present a novel, fast one-dimensional nonlinear model for thermoacoustic devices.
  • * To eliminate the need for computationally intensive time integration by directly solving the periodic steady state.
  • * To facilitate the analysis of nonlinear phenomena in TA devices with improved efficiency.

Main Methods:

  • * Development of a frequency-domain nonlinear model for TA devices.
  • * Direct solution of the periodic steady state, bypassing time-domain integration.
  • * Implementation of phase delays for viscous resistance and thermoacoustic heat exchange.

Main Results:

  • * The model accurately simulates an experimental standing wave thermoacoustic engine.
  • * Results align with both experimental data and established nonlinear time-domain models.
  • * Demonstrated significant reduction in computational cost compared to traditional methods.

Conclusions:

  • * The developed frequency-domain nonlinear model offers a computationally efficient alternative for TA device analysis.
  • * This reduced computational cost enables extensive nonlinear thermoacoustic optimization studies.
  • * The model provides a valuable tool for advancing the design and understanding of TA devices.