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A review of theoretical treatments of shock-tube attenuation

Published online by Cambridge University Press:  28 March 2006

D. A. Spence  and
B. A. Woods
D. A. Spence
Affiliation:
Royal Aircraft Establishment, Farnborough, Hants.
B. A. Woods
Affiliation:
Royal Aircraft Establishment, Farnborough, Hants.
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Abstract

A critical review is given of theories dealing with viscous effects in shock tubes for cases in which the boundary layer is thin compared with the diameter. In particular an examination of the radial variation of flow quantities is used to show that the approach of Mirels (1957) is based on firmer ground than that of Trimpi & Cohen (1955). It is also shown that the small perturbation theories of these and other authors lead to an equation for running time identical in form to that derived by Roshko (1960) from an asymptotic analysis of boundarylayer leakage through the interface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 2 , June 1964 , pp. 161 - 174
Copyright
© 1964 Cambridge University Press

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References

Ackroyd, J. A. D. 1963 A. R. C. Rep. no. 24,942. (Also Dept. of Aeronautics, Queen Mary College, Rep).
Anderson, G. F. 1959 J. Aero. Sci. 26, 184.
Appleton, J. P. & Musgrove, P. J. 1963 A. R. C. Rep. no. 24, 721. (Also Department of Aeronautics and Astronautics, University of Southampton, Rep. no. 245.)
Becker, E. 1961 Progr. Aero. Sci., 1, 104–73.
Bird, G. A. 1957 A. R. C. Rep. no. 19,584.
De Boer, P. C. T. 1963 Phys. Fluids, 6, 962.
Chester, W. 1954 Phil. Mag. 45, 1293.
Demyanov, Yu. A. 1957 Prikl. Mat. i Mekh. 21, 473. (Also R. A. E. Library Transl. no. 796.)
Duff, R. E. 1959 Phys. Fluids, 2, 207.
Duff, R. E. & Young, J. L. 1961 Phys. Fluids, 4, 812.
Gaydon, A. G. 1963 Application of spectroscopy to the study of high temperature gases. Imperial College of Science and Technology Inaugural Lecture.
Gunderson, R. M. 1958 J. Fluid Mech. 3, 553.
Hartunian, R. A. 1961 Phys. Fluids, 4, 1059.
Holbeche, T. A. & Spence, D. A. 1964 Proc. Roy. Soc. A, 279, 111–28. (Also available as A. R. C. Rep. no. 24,723.)
Hooker, W. J. 1961 Phys. fluids, 4, 1451.
Jones, J. J. 1957 Nat. Adv. Aero., Wash., Tech. Note no. 4072.
Kamimoto, G., Akamatsu, T. & Hasegawa, T. 1962 Dep. Aero. Engng, Kyoto University, Current Paper no. 2.
Kireyev, V. G. 1962 Izv. Akad. Nauk. SSSR Otdel. Tekh. Nauk, no. 6, 144.
Lin, S. C. & Fyfe, W. I. 1961 Phys. Fluids, 4, 238.
Mark, H. 1958 Nat. Adv. Comm. Aero., Wash., Tech. Mem. no. 1418.
Mirels, H. 1957 Nat. Adv. Comm. Aero., Wash., Tech. Rep. no. 1333.
Mirels, H. & Braun, W. 1962 Phys. Fluids, 5, 259.
Roshko, A. 1960 Phys. Fluids, 3, 835.
Rudinger, G. 1961 Phys. Fluids, 4, 1463.
Sichel, M. 1962 Phys. Fluids, 5, 1168.
Spence, D. A. 1961 Proc. Roy. Soc. A, 264, 221.
Spence, D. A. & Woods, B. A. 1960 Hypersonic flow. Proc. XIth Symp. Colston Research Soc. (ed. Collar & Tinkler), pp. 153–183. London: Butterworths.
Stewartson, K. 1960 Adv. Appl. Mech. 6, 1–37.
Strehlow, R. A. & Case, C. T. 1961 J. Chem. Phys. 35, 1506.
Trimpi, R. L. & Cohen, N. B. 1955 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3375
White, D. R. 1958 J. Fluid Mech. 4, 585.
Woods, B. A. 1962 A.R.C. Rep. no. 24,571.