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Quantifying transport by strongly stratified turbulence in low Prandtl number ($Pr$) fluids is critically important for the development of better models for the structure and evolution of stellar and planetary interiors. Motivated by recent…

Fluid Dynamics · Physics 2024-07-19 Kasturi Shah , Gregory P. Chini , Colm-cille P. Caulfield , Pascale Garaud

The dimensional transition in turbulent jets of a shear-thinning fluid is studied via direct numerical simulations. Our findings reveal that under vertical confinement, the flow exhibits a unique mixed-dimensional (or 2.5D) state, where…

Fluid Dynamics · Physics 2024-08-20 Christian Amor , Giovanni Soligo , Andrea Mazzino , Marco Edoardo Rosti

Turbulent-laminar intermittency, typically in the form of bands and spots, is a ubiquitous feature of the route to turbulence in wall-bounded shear flows. Here we study the idealised shear between stress-free boundaries driven by a…

Fluid Dynamics · Physics 2016-04-20 Matthew Chantry , Laurette S. Tuckerman , Dwight Barkley

Plane Poiseuille flow shows turbulence at a Reynolds number that is lower than the critical one for the onset of Tollmien-Schlichting waves. The transition to turbulence follows the same route as the by-pass transition in boundary layers,…

Fluid Dynamics · Physics 2015-06-16 Stefan Zammert , Bruno Eckhardt

Direct numerical simulation of a turbulent channel flow with heat transfer was performed at very low Reynolds numbers. Two different thermal boundary conditions were studied, and temperature was considered as a passive scalar. The…

Fluid Dynamics · Physics 2014-06-05 Takahiro Tsukahara , Hiroshi Kawamura

In this work, nonlinear variational optimization is used for obtaining minimal seeds for the formation of turbulent bands in channel flow. Using nonlinear optimization together with energy bisection, we have found that the minimal energy…

Fluid Dynamics · Physics 2021-07-22 E. Parente , J-Ch. Robinet , P. De Palma , S. Cherubini

This paper constructs a rigorous mathematical framework for investigating laminar-turbulent transition induced by weak singularities of incompressible Navier-Stokes (NS) equations. By integrating the energy identity of Leray weak solutions…

Analysis of PDEs · Mathematics 2026-04-14 Chio Chon Kit

We consider the wake flow past a thin two-dimensional flat plate normal to the uniform stream and demonstrate that this flow is turbulent already at a relatively low Reynolds number of $Re = 400$. This is achieved by performing a careful…

Fluid Dynamics · Physics 2026-01-27 Isaac T. Rosin , Melanie S. Chapman , Bartosz Protas , Robert J. Martinuzzi

We consider the dynamics of a vertically stratified, horizontally-forced Kolmogorov flow. Motivated by astrophysical systems where the Prandtl number is often asymptotically small, our focus is the little-studied limit of high Reynolds…

Fluid Dynamics · Physics 2020-10-27 L. Cope , P. Garaud , C. P. Caulfield

Despite recent progress, laminar-turbulent coexistence in transitional planar wall-bounded shear flows is still not well understood. Contrasting with the processes by which chaotic flow inside turbulent patches is sustained at the local…

Fluid Dynamics · Physics 2017-12-15 Paul Manneville

This article presents a modelling of the formation of spanwise vorticity in the turbulent streaks of the oblique bands and spots of transitional plane Couette flow. A functional model is designed to mimic the coherent flow in the streaks.…

Fluid Dynamics · Physics 2015-12-10 Joran Rolland

Modeling the intermittent behavior of turbulent energy dissipation processes both in space and time is often a relevant problem when dealing with phenomena occurring in high Reynolds number flows, especially in astrophysical and space…

Chaotic Dynamics · Physics 2007-05-23 Fabio Lepreti , Vincenzo Carbone , Pierluigi Veltri

We undertake a systematic, direct numerical simulation (DNS) of the two-dimensional, Fourier-truncated, Gross-Pitaevskii equation to study the turbulent evolutions of its solutions for a variety of initial conditions and a wide range of…

Chaotic Dynamics · Physics 2015-03-13 Vishwanath Shukla , Marc Brachet , Rahul Pandit

Turbulent flows in a thin layer can develop an inverse energy cascade leading to spectral condensation of energy when the layer height is smaller than a certain threshold. These spectral condensates take the form of large-scale vortices in…

Fluid Dynamics · Physics 2019-09-11 Adrian van Kan , Takahiro Nemoto , Alexandros Alexakis

We study the transition from laminar flow to fully developed turbulence for an inertially-driven von Karman flow between two counter-rotating large impellers fitted with curved blades over a wide range of Reynolds number (100 - 1 000 000).…

Fluid Dynamics · Physics 2008-03-17 Florent Ravelet , Arnaud Chiffaudel , Francois Daviaud

Laminar as well as turbulent oscillatory pipe flows occur in many fields of biomedical science and engineering. Pulmonary air flow and vascular blood flow are usually laminar, because shear forces acting on the physiological system ought to…

Fluid Dynamics · Physics 2020-01-31 Claus Wagner , Daniel Feldmann

Linear transient growth analysis is commonly used to suggest the structure of disturbances which are particularly efficient in triggering transition to turbulence in shear flows. We demonstrate that the addition of nonlinearity to the…

Fluid Dynamics · Physics 2010-09-06 Chris C. T. Pringle , Rich R. Kerswell

We propose a scaling law for the onset of turbulence in pipe flow of neutrally buoyant suspensions. This scaling law, based on a large set of experimental data, relates the amplitude of the particle-induced perturbations ($\epsilon$) to the…

Fluid Dynamics · Physics 2022-05-09 Willian Hogendoorn , Bidhan Chandra , Christian Poelma

The present study investigates influence of compressibility on separation induced transition in a low pressure turbine cascade using high fidelity direct numerical simulations of the T106A blade. Simulations are performed for inlet Mach…

Fluid Dynamics · Physics 2026-03-05 Priya Pal , Abhijeet Guha , Aditi Sengupta

We study a shell model for the energy cascade in three dimensional turbulence at varying the coefficients of the non-linear terms in such a way that the fundamental symmetries of Navier-Stokes are conserved. When a control parameter…

Condensed Matter · Physics 2008-02-03 L. Biferale , A. Lambert , R. Lima , G. Paladin