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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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References

Bergh, H. & Tijdeman, H. 1965 Theoretical and experimental results for the dynamic response of pressure measuring experiments. Rep. NLR-TR F. 238.Google Scholar
Brocher, E. & Maresca, C. 1970 Mécanisme des échanges thermiques dans un tube de résonance. C. r. hebd. Séanc. Acad. Sci., Paris, A 271, 737.Google Scholar
Brocher, E. & Maresca, C. 1973 Etude des phenomenes thermiques dans un tube de Hartmann—Sprenger. Int. J. Heat Mass Transfer, 16, 529.Google Scholar
Burns, S. H. 1967 Finite-amplitude distortion in air at high acoustic pressures. J. Acoust. Soc. Am. 41, 1157.Google Scholar
Chester, W. 1964 Resonant oscillations in closed tubes. J. Fluid Mech. 18, 44.Google Scholar
Eckert, E. R. G., Ibele, W. E. & Irvine, T. F. 1960 Prandtl number, thermal conductivity and viscosity for air—helium mixtures. N.A.S.A. Tech. Note, D-533.Google Scholar
Hall, J. M. & Berry, C. J. 1959 On the heating effect in a resonance tube. J. Aero. Sci. 26, 253.Google Scholar
Merkli, P. 1973 Theoretische und experimentelle thermoakustische Untersuchungen am kolbengetriebenen Resonanzrohr. Dissertation, Eidgenössische Technische Hochschule, Zürich, no. 5151.
Merkli, P. & Thomann, H. 1975 Transition to turbulence in oscillating pipe flow. J. Fluid Mech. 68, 567.Google Scholar
Rott, N. 1974 The heating effect connected with non-linear oscillations in a resonance tube. Z. angew. Math. Phys. 25, 619.Google Scholar
Scarton, H. A. & Rouleau, W. T. 1973 Axisymmetric waves in compressible Newtonian liquids contained in rigid tubes: steady-periodic mode shapes and dispersion by the method of eigenvalleys. J. Fluid Mech. 58, 595.Google Scholar
Shapiro, A. H. 1960 On the maximum attainable temperature in a resonance tube. J. Aero Sci. 27, 66.Google Scholar
Sibulkin, M. & Vrebalovich, T. 1958 Some experiments with a resonance tube in a supersonic wind tunnel. J. Aero. Sci. 25, 465.Google Scholar
Sprenger, H. 1954 Über thermische Effekte in Resonanzrohren. Mitt. I.f.A.e., Eidgenössische Technische Hochschule, Zürich, no. 21, p. 18.Google Scholar
Wilson, J. & Resler, E. 1959 A mechanism of resonance tube. J. Aero. Sci. 26, 461.Google Scholar