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Instabilities of a horizontal shear flow with a free surface

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Publication:4220054
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DOI10.1017/S0022112098008957zbMath0929.76042MaRDI QIDQ4220054

Michael S. Longuet-Higgins

Publication date: 11 November 1998

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)


zbMATH Keywords

dispersion relationspilling breakersfastest-growing modesnormal mode instabilitiesquartic polynomial equationtowed bodies


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17) Parallel shear flows in hydrodynamic stability (76E05)


Related Items (7)

Modal and nonmodal growths of inviscid planar perturbations in shear flows with a free surface ⋮ Kelvin-Helmholtz instability with a free surface ⋮ On the stability of inviscid parallel shear flows with a free surface ⋮ Free surface over a horizontal shear layer: vorticity generation and air entrainment mechanisms ⋮ Non-normal stability analysis of a shear current under surface gravity waves ⋮ Effect of free surface on submerged stratified shear instabilities ⋮ Inviscid instability of two-fluid free surface flow down an incline




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