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Thermoacoustic heating at the closed end of an oscillating gas column

Published online by Cambridge University Press:  20 April 2006

N. Rott
N. Rott
Affiliation:
Federal Institute of Technology (ETH), 8092 Zürich, Switzerland Present address: Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, U.S.A.
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Abstract

The problem of thermoacoustic heating at the closed end of a tube, in which small gas oscillations are maintained, leads in the case of adiabatic walls, and within the framework of a linear theory of the oscillations and a second-order theory of the heating effect, to singular behaviour of the equilibrium temperature at the tube end. Two cases are discussed: one with vanishing viscosity and one with viscosity tending to infinity. The singularities turn out to be similar in character and integrable in both cases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 145 , August 1984 , pp. 1 - 9
Copyright
© 1984 Cambridge University Press

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References

Brocher, E. 1977 In Shock Tube and Shock Wave Research: Proc. 11th Intl Symp. on Shock Tubes and Waves (ed. B. Ahlborn, A. Hertzberg & D. Russell), p. 66. University of Washington Press.
Brocher, E. & Maresca, C. 1969 J. Méc. 8, 21.
Brocher, E. & Maresca, C. 1973 Intl J. Heat Mass Transfer 16, 529.
Brocher, E., Maresca, C. & Bournay, M. H. 1970 J. Fluid Mech. 43, 369.
Gifford, W. E. & Longsworth, R. C. 1966 Intl Adv. Cryog. Engng 11, 171.
Merkli, P. & Thomann, H. 1975 J. Fluid Mech. 70, 161.
Monkewitz, P. A. 1979 J. Fluid Mech. 91, 357.
Muller, U. A. 1982 Thermoakustische Gasschwingungen. Dissertation, Nr. 7014, Fed. Inst. of Technology (ETH), Zürich.
Rott, N. 1969 Z. angew. Math. Phys. 20, 230.
Rott, N. 1975 Z. angew. Math. Phys. 26, 43.
Rott, N. 1980 Adv. Appl. Mech. 20, 135.
Sprenger, H. 1954 Mitt. Inst. Aerodyn. ETH Zürich 21, 18.
Thomann, H. 1976 Z. angew. Math. Phys. 27, 709.
Wheatley, J., Hofler, T., Swift, G. W. & Magliori, A. 1983 J. Acoust. Soc. Am. 74, 153.