A numerical method for acoustic oscillations in tubes
作者:
John M. Gary,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1988)
卷期:
Volume 8,
issue 1
页码: 81-90
ISSN:0271-2091
年代: 1988
DOI:10.1002/fld.1650080107
出版商: John Wiley&Sons, Ltd
关键词: Hydrodynamic stability;Acoustic waves;Cryogenic oscillations;Taconis vibration;Sondhauss tube;Continuation
数据来源: WILEY
摘要:
AbstractA numerical method to obtain the neutral curve for the onset of acoustic oscillations in a helium‐filled tube is described. Such oscillations can cause a serious heat loss in the plumbing associated with liquid helium dewars. The problem is modelled by a second‐order, ordinary differential eigenvalue problem for the pressure perturbation. The numerical method to find the eigenvalues and track the resulting points along the neutral curve is tailored to this problem. The results show that a tube with a uniform temperature gradient along it is much more stable than one where the temperature suddenly jumps from the cold to the hot value in the middle of the t
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