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Low Reynolds number turbulence in wall-bounded shear flows \emph{en route} to laminar flow takes the form of oblique, spatially-intermittent turbulent structures. In plane Couette flow, these emerge from uniform turbulence via a…

Fluid Dynamics · Physics 2023-06-08 S. Gomé , L. S. Tuckerman , D. Barkley

We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unstable scenario, where the denser fluid lies above the lighter…

Analysis of PDEs · Mathematics 2026-01-27 Francisco Gancedo , Rafael Granero-Belinchón , Zhongtian Hu , Elena Salguero , Yao Yao

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

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

The asymptotic suction boundary layer (ASBL) is a parallel shear flow that becomes turbulent in a bypass transition in parameter regions where the laminar profile is stable. We here add a temperature gradient perpendicular to the plate and…

Fluid Dynamics · Physics 2016-08-23 Stefan Zammert , Nicolas Fischer , Bruno Eckhardt

Laminar-to-turbulence transition in zero-pressure-gradient boundary layer at Mach 4.5 is studied using direct numerical simulations. For a given level of total disturbance energy, the inflow spectra was designed to correspond to the…

Fluid Dynamics · Physics 2018-12-03 Reza Jahanbakhshi , Tamer A. Zaki

A two-layer quasi-geostrophic flow is quite insulated from the surrounding fluid, while the layers interact each other by means of the modulation of the interface between them and of the turbulence affecting the layers in the proximity of…

Atmospheric and Oceanic Physics · Physics 2017-05-30 Fulvio Crisciani , Renzo Mosetti , Roberto Purini

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

Fluid Dynamics · Physics 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti

We investigated the stability of the bottom boundary layer (BBL) beneath periodic internal solitary waves (ISWs) of depression over a flat bottom through two-dimensional direct numerical simulations. We explored the effects of variation in…

Fluid Dynamics · Physics 2023-11-01 Andres Posada-Bedoya , Jason Olsthoorn , Leon Boegman

Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a…

Fluid Dynamics · Physics 2015-05-13 D. Viswanath , P. Cvitanovic

We consider a two-dimensional, two-layer, incompressible, steady flow, with vorticity which is constant in each layer, in an infinite channel with rigid walls. The velocity is continuous across the interface, there is no surface tension or…

Analysis of PDEs · Mathematics 2023-10-18 Karsten Matthies , Jonathan Sewell , Miles H. Wheeler

Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the…

Fluid Dynamics · Physics 2013-06-11 Liang Shi , Marc Avila , Bjoern Hof

Modal instabilities in a flow through a channel at high Reynolds and Mach numbers are studied for three-dimensional perturbations. In addition to the Tollmien-Schlichting modes, there exist higher modes in a channel flow that do not have a…

Fluid Dynamics · Physics 2022-08-03 M. Deka , G. Tomar , V. Kumaran

Turbulent shear flows are abundant in geophysical and astrophysical systems and in engineering-technology applications. They are often riddled with large-scale secondary flows that drastically modify the characteristics of the primary…

Fluid Dynamics · Physics 2023-06-21 Vignesh Jeganathan , Tala Shannak , Kamran Alba , Rodolfo Ostilla-Mónico

Turbulent boundary layers over flat walls in the presence of a hill are frequently found in nature and industry. Some examples are the air flows over hills and desert dunes, but also water flows over aquatic dunes inside closed conduits.…

Fluid Dynamics · Physics 2017-06-09 Erick de Moraes Franklin , Guilherme Augusto Ayek

Suspended particles can alter the properties of fluids and in particular also affect the transition from laminar to turbulent flow. In the present experimental study, we investigate the impact of neutrally buoyant, spherical inertial…

Fluid Dynamics · Physics 2019-03-27 Nishchal Agrawal , George H. Choueiri , Björn Hof

The instability of a supercritical Taylor-Couette flow of a conducting fluid with resting outer cylinder under the influence of a uniform axial electric current is investigated for magnetic Prandtl number Pm=1. In the linear theory the…

Fluid Dynamics · Physics 2015-01-16 M. Gellert , G. Rüdiger

Granular flows down inclined channels with smooth boundaries are common in nature and in the industry. Nevertheless, the common setup of flat boundaries has comparatively been much less investigated than the bumpy boundaries one, which is…

Soft Condensed Matter · Physics 2012-11-12 Nicolas Brodu , Patrick Richard , Renaud Delannay

We apply the iterated edge state tracking algorithm to study the boundary between laminar and turbulent dynamics in plane Couette flow at Re=400. Perturbations that are not strong enough to become fully turbulent nor weak enough to…

Fluid Dynamics · Physics 2009-11-13 Tobias M Schneider , John F Gibson , Maher Lagha , Filippo De Lillo , Bruno Eckhardt

We investigate here linear stability in a canonical three-dimensional boundary layer generated by the superposition of a spanwise pressure gradient upon an otherwise standard channel flow. As the main result, we introduce a simple…

Fluid Dynamics · Physics 2024-06-28 Muhammad Abdullah