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Characteristics of the unsteady motion on transversely sheared mean flows

Published online by Cambridge University Press:  12 April 2006

M. E. Goldstein
M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135
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Abstract

In this paper we obtain an explicit representation for the unsteady motion on a transversely sheared mean flow that corresponds to the gustline motion on a uniform mean flow. The important features of this motion are discussed. It is shown that its velocity, pressure and vorticity are all induced by a certain disturbance field that is a linear combination of the vorticity and particle-displacement fields and is everywhere frozen in the mean flow. The general ideas are illustrated by considering the scattering of a gust by a half-plane embedded in a shear flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 2 , 30 January 1978 , pp. 305 - 329
Copyright
© 1978 Cambridge University Press

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References

Betchov, R. & Criminale, W. O. 1967 Stability of Parallel Flows. Academic Press.Google Scholar
Carrier, G. F. & Carlson, F. D. 1946 Quart. Appl. Math. 4, 1–12.Google Scholar
Carrier, G. F., Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable. McGraw-Hill.Google Scholar
Case, K. M. 1960 Stability of an idealized atmosphere, I. Discussion of results. Phys. Fluids 3, 149–154.Google Scholar
Chu, B. J. & KOVÁSZNAY, L. S. G. 1958 Non-linear interactions in a viscous heat conducting gas. J. Fluid Mech. 3, 494–515.Google Scholar
Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Blaisdell.Google Scholar
Curle, N. 1955 The influence of solid boundaries on aerodynamic sound. Proc. Roy. Soc. A 231, 505–514.Google Scholar
Goldstein, M. E. 1976 Aeroacoustics. McGraw-Hill.Google Scholar
KovÁsznay, L. S. G. 1953 Turbulence in supersonic flow. J. Aero. Sci. 20, 657–674.Google Scholar
Lighthill, M. J. 1952 On sound generated aerodynamically, I. General theory. Proc. Roy. Soc. A 211, 564–587.Google Scholar
Möhring, W. 1976 Über Schallwellen in Scherströmungen. Fortschritte der Akustik, no. DAGA 76, pp. 543–546. VDI–Verlag.Google Scholar
Noble, B. 1958 Methods Based on the Weiner–Hopf Technique. Pergamon.Google Scholar
Phillips, O. M. 1960 On the generation of sound by supersonic turbulent shear layers. J. Fluid Mech. 9, 1.Google Scholar
Stakgold, I. 1967 Boundary Value Problems in Mathematical Physics, vol. 1, p. 53. Macmillan.Google Scholar
Woods, L. C. 1961 The Plemelj formulae. The Theory of Subsonic Plane Flow, pp. 82–84. Cambridge University Press.Google Scholar