Numerical Simulation of Thermal Acoustic Oscillations in a Liquid Helium System

  • Youfan Gu
  • K. D. Timmerhaus
Part of the A Cryogenic Engineering Conference Publication book series (ACRE, volume 41)


Thermal acoustic oscillations (TAOs) can generally be described by the general hydro-dynamic equations for flow processes. Therefore, an understanding of the mechanisms associated with TAOs requires a full solution of these equations. However, the complexity of these equations make an analytical solution for TAOs essentially impossible. Accordingly, a numerical method has been employed to simulate the oscillation process.

A combination of the finite difference and finite element method has been found to be most effective in simulating the oscillation process. Simulated oscillation results match the experimental observations with reasonable accuracy. Detailed axial pressure distribution, axial mean gas velocity and radial temperature gradient in an oscillation tube have been obtained and are included in this study.


Tube Wall Pressure Amplitude Radial Temperature Gradient Axial Temperature Gradient Kinetic Energy Loss 
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  1. 1.
    Gu, Y., Thermal Acoustic Oscillations in Cryogenic Systems, PhD Thesis, University of Colorado at Boulder, 1993.Google Scholar
  2. 2.
    Fletcher, C. A. J., Computational Techniques for Fluid Mechanics I & II, Springer-Verlag, Berlin, Heidelberg, New York, Lodon, Paris, Tokyo, 1991.Google Scholar

Copyright information

© Plenum Press, New York 1996

Authors and Affiliations

  • Youfan Gu
    • 1
  • K. D. Timmerhaus
    • 2
  1. 1.HPS Div. of MKS Instruments, Inc.BoulderUSA
  2. 2.University of ColoradoBoulderUSA

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