Abstract
For a steady plane parallel flow of an inviscid incompressible fluid of variable density under gravity, it is shown that the complex wave velocity for any unstable mode lies in a semi-ellipse whose major axis coincides with the diameter of Howard's semicircle, while its minor axis depends on the stratification.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference4 articles.
1. Banerjee, M. B. , Gupta, J. & Gupta, S. K. 1974 On reducing Howard's semicircle.J. Math. Phys. Sci. 8,475–484a.
2. Banerjee, M. B. & Jain, R. K. 1972 A unified instability criterion of heterogeneous shear flows.The Math. Student 40,111–119.
3. Howard, L. N. & Drazin, P. G. 1966 Adv. in Appl. Mech. 9,1–85.
4. Howard, L. N. 1961 Note on a paper of John W. Miles.J. Fluid Mech. 10,509–512.
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