A note on the instabilities of a horizontal shear flow with a free surface

Journal of Fluid Mechanics

Volumn 406, Issue , 2000, Pages 337-346

  Engevik, L ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

FREE SURFACE FLOW; INSTABILITY; MATHEMATICAL ANALYSIS; SHEAR FLOW; VELOCITY PROFILE;

EID: 0033923584     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007612     Document Type: Article

References (10)

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2. ELLINGSEN, T. & PALM, E. 1975 Stability of linear flow. Phys. Fluids 18, 487-488.
3. ENGEVIK, L., HAUGAN, P. M. & KLEMP, S. 1985 Stability analysis adjacent to neutral solutions of the Taylor-Goldstein equation when Howard's formula breaks down. J. Fluid Mech. 159, 347-358.
4. LONGUET-HIGGINS, M. S. 1998 Instabilities of a horizontal shear flow with a free surface. J. Fluid Mech. 364, 147-162.
5. MASLOWE, S. A. 1981 Shear Flow Instabilities and Transition. In Hydrodynamic Instabilities and Transition to Turbulence (ed. H. L. Swinney & J. P. Gollub), vol. 45, pp. 181-228. Springer.
6. MORLAND, L. C., SAFFMAN, P. G. & YUEN, H. C. 1991 Waves generated by shear layer instabilities. Proc. R. Soc. Lond. A 433, 441-450.
7. MUSKHELISHVELI, N. I. 1953 Singular Integral Equations. Noordhoff.
8. TRIANTYFALLOU, G. S. & DIMAS, A. A. 1989 Interaction of two-dimensional separated flows with a free surface at low Froude numbers. Phys. Fluids A 1, 1813-1821.
9. YIH, C. S. 1955 Stability of two-dimensional parallel flows for three-dimensional disturbances. Q. Appl. Maths 12, 434-435.
10. YIH, C. S. 1972 Surface waves in flowing water. J. Fluid Mech. 51, 209-220.