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Jet flow instability of an inviscid compressible fluid

Published online by Cambridge University Press:  29 March 2006

William Blumen
William Blumen
Affiliation:
Department of Astro-Geophysics, University of Colorado, Boulder
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Abstract

A linear analysis of the perturbations associated with the jet flow, $\overline{u}(y) = {\rm sech}\,y$, of an inviscid compressible fluid is considered. Some subsonic stable solutions, not associated with stability boundaries, are first determined. Then a subsonic neutral solution is found and used as an aid in determining stability boundaries of the symmetric and antisymmetric disturbance modes. Numerical methods are also used to determine instability characteristics, including the Reynolds stress distributions. Comparisons are made with previous results obtained for the hyperbolic-tangent velocity profile and with unstable characteristics of the Bickley jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 4 , 27 April 1971 , pp. 737 - 747
Copyright
© 1971 Cambridge University Press

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References

Blumen, W. 1970 Shear layer instability of an inviscid compressible fluid J. Fluid Mech. 40, 769–81.Google Scholar
Drazin, P. G. & Howard, L. N. 1966 Hydrodynamic stability of parallel flow of inviscid fluid. Advances in Applied Mechanics, vol. 9. Academic.
Erdelyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions, vol. i, chapter III. Bateman Manuscript Project. McGraw Hill.
Lees, L. & Lin, C. C. 1946 Investigation of the stability of the laminar boundary layer in a compressible fluid. NACA TN, no. 1115.Google Scholar