On the linear instability of a finite Stokes layer: Instantaneous versus Floquet modes

DOI10.1063/1.3422004zbMath1190.76082OpenAlexW2077716317MaRDI QIDQ3578569

Xuesong Wu, Ji-Sheng Luo

Publication date: 20 July 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3422004

zbMATH Keywords

initial value problemsshear flowsurface roughnesseigenvalues and eigenfunctionsflow instabilitylaminar to turbulent transitions

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (20)

Streamwise-travelling viscous waves in channel flows ⋮ Stability of zero-pressure-gradient boundary layer distorted by unsteady Klebanoff streaks ⋮ Floquet stability analyses of stratified oscillating boundary layers on adiabatic slopes ⋮ Laminar streak growth above a spanwise oscillating wall ⋮ Multiple-scale approximation of instabilities in unsteady boundary layers ⋮ Influence of three-dimensional wall roughness on the transition of a finite Stokes layer ⋮ The linear stability of an acceleration-skewed oscillatory Stokes layer ⋮ The bypass transition mechanism of the Stokes boundary layer in the intermittently turbulent regime ⋮ Linear and nonlinear dynamics of pulsatile channel flow ⋮ Control of stationary convective instabilities in the rotating disk boundary layer via time-periodic modulation ⋮ Two-dimensional vortex structures in the bottom boundary layer of progressive and solitary waves ⋮ Direct numerical simulations of small disturbances in the classical Stokes layer ⋮ Instability and transition induced by wall roughness in a finite Stokes layer ⋮ The linear stability of oscillatory Poiseuille flow in channels and pipes ⋮ Modal and non-modal stability of boundary layers forced by spanwise wall oscillations ⋮ The linear stability of a Stokes layer with an imposed axial magnetic field ⋮ Non-modal stability analysis of the boundary layer under solitary waves ⋮ Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation ⋮ Revisiting the momentary stability analysis of the Stokes boundary layer ⋮ The linear stability of oscillating pipe flow

Cites Work

• Enhancing the absolute instability of a boundary layer by adding a far-away plate
• Influence of small imperfections on the stability of plane Poiseuille flow: A theoretical model and direct numerical simulation
• The Fluid Mechanics of Large Blood Vessels
• The nonlinear evolution of high-frequency resonant-triad waves in an oscillatory Stokes layer at high Reynolds number
• Linear stability theory of oscillatory Stokes layers
• A theoretical and experimental study of the velocity distribution and transition to turbulence in free oscillatory flow
• Centrifugal instability of a Stokes layer: linear theory
• The linear stability of flat Stokes layers
• Direct simulation of transition in an oscillatory boundary layer
• Wall imperfections as a triggering mechanism for Stokes-layer transition
• On the instability of Stokes layers at high Reynolds numbers
• The linear stability of flat Stokes layers
• ON THE NONLINEAR EVOLUTION OF INSTABILITY MODES IN UNSTEADY SHEAR LAYERS: THE STOKES LAYER AS A PARADIGM
• The linear stability of high-frequency oscillatory flow in a channel
• Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem
• Some recent investigations in the theory of hydrodynamic stability

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