Abstract
It is shown that all parallel inviscid shear flows of constant density are unstable to a wide class of initial infinitesimal three-dimensional disturbances in the sense that, according to linear theory, the kinetic energy of the disturbance will grow at least as fast as linearly in time. This can occur even when the disturbance velocities are bounded, because the streamwise length of the disturbed region grows linearly with time. This finding may have implications for the observed tendency of turbulent shear flows to develop a longitudinal streaky structure.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference17 articles.
1. Orr, W. M. F. 1907 Proc. Roy. Irish Acad. A 17,124.
2. Ellingsen, T. & Palm, E. 1975 Phys. Fluids 18,487.
3. Stuart, J. T. 1965 N.P.L. Aero Rep. 1147; AGARD Rep. 514.
4. Drazin, P. G. & Howard, L. N. 1966 Adv. Appl. Math. 9,1.
5. Rayleigh, Lord 1880 Proc. Lond. Math. Soc. 9,57.
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