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Thermoacoustic effects in a resonance tube

Published online by Cambridge University Press:  29 March 2006

P. Merkli  and
H. Thomann
P. Merkli
Affiliation:
Institute of Aerodynamics, Swiss Federal Institute of Technology, Zurich
H. Thomann
Affiliation:
Institute of Aerodynamics, Swiss Federal Institute of Technology, Zurich
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Abstract

New experiments with a gas-filled resonance tube have shown that not only heating, but also cooling of the tube wall is possible and that these phenomena are not restricted to oscillation amplitudes that generate shocks. The present paper concentrates on amplitudes outside the shock region. For this case, an extended acoustic theory is worked out. The results show cooling in the section of the tube with maximum velocity amplitude (and thus dissipation) and marked heating in the region of the velocity nodes. A strong dependence of these effects on the Prandtl number is noted. The results are in good agreement with experiments. Although the theory is not valid for proper resonance conditions, it nevertheless sheds some light on what happens when nonlinear effects dominate.

Closely related to the limit of validity of the thermoacoustic theory is the question of transition from laminar to turbulent flow in the viscous boundary layer (Stokes layer). This problem has also been investigated; the results are given in a separate paper (Merkli & Thomann 1975). In the present article laminar flow is assumed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 1 , 15 July 1975 , pp. 161 - 177
Copyright
© 1975 Cambridge University Press

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