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We propose a novel stability criterion for incompressible shear flows by combining input-output analysis and the small-gain theorem. The criterion yields an explicit threshold on the magnitude of velocity perturbations about a given base…

Fluid Dynamics · Physics 2026-03-04 Ofek Frank-Shapir , Igal Gluzman

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 2048^3 regularly spaced points, with a Taylor Reynolds number of Re~1300. The forcing is given by the Taylor-Green flow, which shares…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , A. Alexakis , A. Pouquet

We investigate the linear stability of plane Poiseuille flow in 2D under slip boundary conditions. The slip s is defined by the tangential velocity at the wall in units of the maximal flow velocity. As it turns out, the critical Reynolds…

Fluid Dynamics · Physics 2007-05-23 Andreas Spille , Alexander Rauh , Heiko Buehring

For applications regarding transition prediction, wing design and control of boundary layers, the fundamental understanding of disturbance growth in the flat-plate boundary layer is an important issue. In the present work we investigate the…

Fluid Dynamics · Physics 2013-03-05 A. V. Monwanou , C. H. Miwadinou , J. B. Chabi Orou

Accurate prediction of the transition from laminar flow to turbulence remains an unresolved challenge despite its importance for understanding a variety of environmental, biological, and industrial phenomena. Well over a century of…

Fluid Dynamics · Physics 2023-01-10 John O. Dabiri , Nina Mohebbi , Matthew K. Fu

The instability of pipe flow has been a subject of extensive research, yet a significant gap remains between experimental observations and theoretical predictions. This study revisits the classical problem of kinetic energy instability of…

Fluid Dynamics · Physics 2025-09-30 Chiara Giraudo , Ingeborg G. Gjerde , Miroslav Kuchta , L. Ridgway Scott

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

In this work, we study the flow in curved channels, an archetypal configuration that allows insights into problems featuring turbulence bounded by curved walls. Besides its relevance to many engineering applications, it exhibits a rich…

Fluid Dynamics · Physics 2025-03-19 Giulio Soldati , Paolo Orlandi , Sergio Pirozzoli

We investigate the linear Floquet stability of two fluid layers undergoing oscillations in the direction parallel to the flexible wall that separates them. This canonical configuration is inspired by the cerebrospinal fluid flow in the…

We investigate the underlying physics behind the change in amplitude modulation coefficient in non-canonical wall-bounded flows in the framework of the inner-outer interaction model (IOIM) (Baars et al., Phys. Rev. Fluids 1 (5), 054406).…

Fluid Dynamics · Physics 2023-04-27 Mogeng Li , Woutijn J. Baars , Ivan Marusic , Nicholas Hutchins

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

Wall-bounded flows experience a transition to turbulence characterized by the coexistence of laminar and turbulent domains in some range of Reynolds number R, the natural control parameter. This transitional regime takes place between an…

Fluid Dynamics · Physics 2017-07-03 Paul Manneville

This experimental and numerical study examines transition to turbulence for a Cone-Cylinder-Flare geometry at Mach 7 and across a broad Reynolds number range. The focus is set on both attached boundary layers and separated shock-boundary…

Fluid Dynamics · Physics 2025-12-09 Clément Caillaud , Mathieu Lugrin , Nicolas Severac , Sébastien Esquieu

Recent experimental studies on the instability appearance of capillary jets have revealed the capabilities of linear spatiotemporal instability analysis to predict the parametrical map where steady jetting or dripping takes place. In this…

Fluid Dynamics · Physics 2009-11-13 Miguel A. Herrada , Alfonso M. Ganan-Calvo , Pierre Guillot

The emergence of large-scale spatial modulations of turbulent channel flow, as the Reynolds number is decreased, is addressed numerically using the framework of linear stability analysis. Such modulations are known as the precursors of…

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity of the integrodifferential Benney system of equations. It is…

Fluid Dynamics · Physics 2016-10-20 Alexander Chesnokov , Gennady El , Sergey Gavrilyuk , Maxim Pavlov

We investigate the instabilities and transition mechanisms of Boussinesq stratified boundary layers on sloping boundaries when subjected to oscillatory body forcing parallel to the slope. Such conditions are typical of the boundary layers…

Fluid Dynamics · Physics 2021-10-06 Bryan Kaiser , Lawrence Pratt , Jörn Callies

This study uses high-fidelity simulations (DNS or LES) and experimental datasets to analyse the effect of non-equilibrium streamwise mean pressure gradients (adverse or favourable), including attached and separated flows, on the statistics…

Fluid Dynamics · Physics 2024-11-20 Saurabh Pargal , Junlin Yuan , Stephane Moreau

Equilibrium, traveling wave, and periodic orbit solutions of pipe, channel, and plane Couette flows can now be computed precisely at Reynolds numbers above the onset of turbulence. These invariant solutions capture the complex dynamics of…

Fluid Dynamics · Physics 2008-10-14 John F. Gibson , Predrag Cvitanovic