The instability of oscillatory plane Poiseuille flow

DOI10.1017/S002211208200038XzbMath0491.76046OpenAlexW2161667832MaRDI QIDQ3953418

Christian von Kerczek

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s002211208200038x

zbMATH Keywords

perturbationlinear stabilitystream functioninstationaryoscillating channel flowperiodically alternating channel flow

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Best approximation, Chebyshev systems (41A50) Physiological flows (76Z05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (18)

Investigation of mechanisms of excitation and growth of unstable perturbations in pulsating flows ⋮ Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis ⋮ Subharmonic eigenvalue orbits in the spectrum of pulsating Poiseuille flow ⋮ Floquet stability analysis of capsules in viscous shear flow ⋮ Linear instabilities of pulsatile plane channel flow between compliant walls ⋮ Linear and nonlinear dynamics of pulsatile channel flow ⋮ Asymptotic stability and transient growth in pulsatile Poiseuille flow through a compliant channel ⋮ Stability characteristics of wavy walled channel flows ⋮ Non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows ⋮ Control of stationary convective instabilities in the rotating disk boundary layer via time-periodic modulation ⋮ Optimal energy growth in pulsatile channel and pipe flows ⋮ Transient linear stability of pulsating Poiseuille flow using optimally time-dependent modes ⋮ Stability characteristics of suspension flow through wavy-walled channels ⋮ Revisiting the stability of pulsatile pipe flow ⋮ Instability of channel flow with oscillatory wall suction/blowing ⋮ The linear stability of an oscillatory two-phase channel flow in the limit of small Stokes numbers ⋮ The linear stability of oscillatory Poiseuille flow in channels and pipes ⋮ Instability of a shear-imposed flow down a vibrating inclined plane

Cites Work

• Onset of instability in a fluid layer heated sinusoidally from below
• A One-Parameter Family of Sequence Transformations
• Linear stability theory of oscillatory Stokes layers
• The stability of steady and time-dependent plane Poiseuille flow
• Low-frequency modulation of thermal instability
• Accurate solution of the Orr–Sommerfeld stability equation
• The energy balance in modulated plane Poiseuille flow
• Transition phenomena in oscillating boundary-layer flows

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