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It is shown that the interaction of helicity-1 waves of gravity and matter in a thin slab configuration produces new types of instabilities. Indeed, a transverse spin-2 helicity-1 mode interacts strongly with the shear motion of matter.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Luis Bento , Jose P. S. Lemos

Complex fluids exhibit a variety of exotic flow behaviours under high stresses, such as shear thickening and shear jamming. Rheology is a powerful tool to characterise these flow behaviours over the bulk of the fluid. However, this…

Soft Condensed Matter · Physics 2022-06-09 Phalguni Shah , Srishti Arora , Michelle M. Driscoll

We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat…

Fluid Dynamics · Physics 2025-02-18 Prashant Sharma

We investigate spatial and temporal cross-correlations between streamwise and normal velocity components in three shear flows: a low-dimensional model for vortex-streak interactions, direct numerical simulations for a nearly homogeneous…

Chaotic Dynamics · Physics 2009-11-11 A. Jachens , J. Schumacher , B. Eckhardt , K. Knobloch , H. H. Fernholz

Recent work suggests unstable recurrent solutions of the equations governing fluid flow can play an important role in structuring the dynamics of turbulence. Here we present a method for detecting intervals of time where turbulence…

Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the…

Fluid Dynamics · Physics 2020-05-26 Duo Xu , Atul Varshney , Xingyu Ma , Baofang Song , Michael Riedl , Marc Avila , Björn Hof

This paper is the first part of a two-fold study of mixing, i.e. the formation of layers and upwelling of buoyancy, in axially stratified Taylor--Couette flow, with fixed outer cylinder. Using linear analysis and direct numerical…

Based on the mechanics of the Euler equation at short time, we show that a Recent Fluid Deformation (RFD) closure for the vorticity field, neglecting the early stage of advection of fluid particles, allows to build a 3D incompressible…

Fluid Dynamics · Physics 2010-03-30 Laurent Chevillard , Raoul Robert , Vincent Vargas

Thin viscous fluid threads falling onto a moving belt behave in a way reminiscent of a sewing machine, generating a rich variety of periodic stitch-like patterns including meanders, W-patterns, alternating loops, and translated coiling.…

Fluid Dynamics · Physics 2015-05-06 P. -T. Brun , Basile Audoly , Neil M. Ribe , Tom S. Eaves , John R. Lister

A first principle explanation of the origin of intermittency and nonlinear structure formation in the Lagrangian velocity increments of a turbulent flow is presented in the context of a scale invariant analytical formalism that is being…

Classical Analysis and ODEs · Mathematics 2016-06-29 Dhurjati Prasad Datta

Direct numerical simulations of turbulent flow in a channel with one rigid and one viscoelastic wall are performed. An Eulerian-Eulerian model is adopted with a level-set approach to identify the fluid-compliant material interface. Focus is…

Fluid Dynamics · Physics 2021-11-03 Amir Esteghamatian , Joseph Katz , Tamer A. Zaki

In the present work, we study the flow of thixotropic yield stress fluids between two concentric cylinders. In order to take into account the thixotropy, the constitutive relation uses a structural parameter which is driven by a kinetic…

We investigate the topological physics and the nonlinearity-induced trap phenomenon in a coupled system of pendulums. It is described by the dimerized sine-Gordon model, which is a combination of the sine-Gordon model and the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Motohiko Ezawa

Modelling fluid turbulence using a `skeleton' of coherent structures has traditionally progressed by focusing on a few canonical laboratory experiments such as pipe flow and Taylor-Couette flow. We here consider the stratified inclined…

Fluid Dynamics · Physics 2024-11-14 Adrien Lefauve , Yui Hin Marvil Cheung , Xianyang Jiang , Miles M. P. Couchman

We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution of vorticity in the sense that the flows consist of two…

Analysis of PDEs · Mathematics 2015-03-05 Calin Iulian Martin , Bogdan-Vasile Matioc

The objective of this paper is to unravel any relations that may exist between turbulent shear flows and statistical mechanics, through a detailed numerical investigation in the simplest case where both can be well defined. The shear flow…

Fluid Dynamics · Physics 2013-01-01 Saikishan Suryanarayanan , Roddam Narasimha , N. D. Hari Dass

Nonlinear waves that collide with localized defects exhibit complex behavior. Apart from reflection, transmission, and annihilation of an incident wave, a local inhomogeneity can activate internal modes of solitons, producing many…

Pattern Formation and Solitons · Physics 2017-04-05 Mónica A. García-Ñustes , Jorge A. González , Juan F. Marín

Vorticity aligned cylindrical flocs of carbon black particles are coincident with a primary shear thickening transition in steady flow and also appear as transient structures in the flow response of gels produced by a secondary shear…

Soft Condensed Matter · Physics 2008-05-13 Chinedum O. Osuji , David A. Weitz

Streamwise roll and streak structures (RSS) are prominent features observed in both atmospheric and oceanic planetary boundary layers (PBL) as well as in laboratory scale Wall bounded shear flows. Despite their structural similarity across…

Fluid Dynamics · Physics 2026-01-07 Eojin Kim , Brian F. Farrell

Depletion-induced aggregation of rods enhanced by clustering is observed to produce a novel model of attractive pairs of rods separated by a line of spheres in a quasi-2D, vertically-shaken, granular gas of rods and spheres. We show that…

Soft Condensed Matter · Physics 2016-08-08 Gustavo M. Rodríguez-Liñán , Yuri Nahmad-Molinari , Gabriel Pérez-Ángel
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