Optimal Disturbance Growth in Watertable Flow

DOI10.1002/sapm1995942183zbMath0821.76025OpenAlexW2468526525MaRDI QIDQ4834595

P. J. Olsson, Dan S. Henningson

Publication date: 19 September 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995942183

zbMATH Keywords

inclined planesurface tensioneigenmodessurface modestransient energy growthhybrid spectral Chebyshev collocation method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (13)

Ice ripple formation at large Reynolds numbers ⋮ Transient growth in a two-fluid channel flow under normal electric field ⋮ Parametric resonance in unsteady watertable flow ⋮ Effect of streamwise and spanwise electric fields on transient growth in a two-fluid channel flow ⋮ Three-dimensional disturbances in channel flows ⋮ Non-normal stability analysis of a shear current under surface gravity waves ⋮ Energy growth of initial perturbations in two-dimensional gravitational jets ⋮ A spectral approach for the stability analysis of turbulent open-channel flows over granular beds ⋮ Instabilities and transient behaviors of a liquid film flowing down a porous inclined plane ⋮ Fingering instability on curved substrates: optimal initial film and substrate perturbations ⋮ On the influence of the modelling of superhydrophobic surfaces on laminar–turbulent transition ⋮ Thin film flow down a porous substrate in the presence of an insoluble surfactant: Stability analysis ⋮ Inviscid instability of two-fluid free surface flow down an incline

Cites Work

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• Hydrodynamic Stability Without Eigenvalues
• Energy growth in viscous channel flows
• Wave formation in laminar flow down an inclined plane
• Degeneracies and Direct Resonances in Water-Table Flow
• The mechanism for the long-wave instability in thin liquid films
• Vector Eigenfunction Expansions for Plane Channel Flows
• A mechanism for bypass transition from localized disturbances in wall-bounded shear flows
• Pseudospectra of the Orr–Sommerfeld Operator
• Long Waves on Liquid Films
• Stability of a Non-Newtonian Liquid Film Flowing down an Inclined Plane
• Stability of Liquid Flow down an Inclined Plane
• Energy growth of three-dimensional disturbances in plane Poiseuille flow

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