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Related papers: Anisotropy in Homogeneous Rotating Turbulence

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In our previous work~\cite{SanchisAgudoVinuesa2025PRL}, we argued that viscous dissipation in turbulence can be understood as the macroscopic imprint of microscopic path uncertainty, and showed that a kernel variance field $s(y)$…

Fluid Dynamics · Physics 2026-01-08 Marcial Sanchis-Agudo , Ricardo Vinuesa

In this paper, the existence of a weak solution for homogeneous incompressible Bingham fluid is investigated. The rheology of such a fluid is defined by a yield stress $\tau_y$ and a discontinuous stress-strain law. This non-Newtonian fluid…

Analysis of PDEs · Mathematics 2023-11-22 Wassim Aboussi , Fayssal Benkhaldoun , Ahmed Aberqi , Abdallah Bradji , Jaouad Bennouna

The phenomenon of drag reduction by polymer additives had been studied in simulations on the basis of non-Newtonian fluid mechanical models that take into account the field of polymer extension (conformation tensor) and its interaction with…

Fluid Dynamics · Physics 2009-11-10 Roberto Benzi , Emily S. C. Ching , Itamar Procaccia

We determine the energy-momentum tensor of non-perfect fluids in thermodynamic equilibrium. To this end, we derive the constitutive equations for energy density, isotropic and anisotropic pressure as well as for heat-flux from the…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Konrad Schatz , Horst-Heino von Borzeszkowski , Thoralf Chrobok

The fully developed turbulent Boussinesq convection is known to form large-scale rolls, often termed the 'large-scale circulation' (LSC). It is an interesting question how such a large-scale flow is created, in particular in systems when…

Fluid Dynamics · Physics 2022-06-06 Krzysztof A. Mizerski

We investigate the vortex flow anisotropy in the mixed state of nematic superconductors, focusing on the effects of nematic-superconducting coupling on vortex dynamics. Using numerical simulations within a time-dependent Ginzburg-Landau…

We examine the hydrostatic stress of electrons strongly confined in a quasi-2D quantum well in the presence of a strong perpendicular and weak in-plane magnetic field. This introduces anisotropy into the stress tensor which is inconsistent…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Ian Osborne , Gustavo M. Monteiro , Barry Bradlyn

When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Elementary and basic features of odd viscosity are examined by…

Fluid Dynamics · Physics 2007-05-23 J. E. Avron

Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor $\tau$ and its Newtonian deformation tensor $D(u)$ decay at the same rate, while the elastic part $\varepsilon=\tau-2\omega D(u)$ decays faster. As a…

Analysis of PDEs · Mathematics 2026-03-30 Matthias Hieber , Thieu Huy Nguyen , César J. Niche , Cilon F. Perusato

We expand previous work on an inverse approach to Einstein Field Equations where we include fluids with energy flux and consider the vanishing of the anisotropic stress tensor. We consider the approach using warped product spacetimes of…

General Relativity and Quantum Cosmology · Physics 2011-02-01 James Richardson , Mustapha Ishak

The decay of homogeneous isotropic turbulence in a variable viscosity fluid with a viscosity ratio up to 15 is analyzed by means of highly resolved direct numerical simulations (DNS) at low Reynolds numbers. The question addressed by the…

Fluid Dynamics · Physics 2018-09-21 Michael Gauding , Luminita Danaila , Emilien Varea

We consider a system consisting of $5$ dimensional gravity with a negative cosmological constant coupled to a massless scalar, the dilaton. We construct a black brane solution which arises when the dilaton satisfies linearly varying…

High Energy Physics - Theory · Physics 2015-01-14 Sachin Jain , Nilay Kundu , Kallol Sen , Aninda Sinha , Sandip P. Trivedi

Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary…

Relativistic hydrodynamics dual to Einstein-Gauss-Bonnet gravity in asymptotic $\textrm{AdS}_5$ space is under study. To linear order in the amplitude of the fluid velocity and temperature, we derive the fluid's stress-energy tensor via an…

High Energy Physics - Theory · Physics 2015-06-16 Yanyan Bu , Michael Lublinsky , Amir Sharon

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria

Viscous vortex layers subject to a more general uniform strain are considered. They include Townsend's steady solution for plane strain (corresponding to a parameter $a = 1$) in which all the strain in the plane of the layer goes toward…

Fluid Dynamics · Physics 2021-04-07 Karim Shariff , Gerrit Elsinga

We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three dimensional infinite layer with either stress-free or periodic boundary conditions in the vertical direction. For initial conditions satisfying a…

Analysis of PDEs · Mathematics 2019-05-22 Ryan Goh , C. Eugene Wayne

We present a hydrodynamic model of ultracold, but not yet quantum condensed, dipolar Bosonic gases. Such systems present both $s$-wave and dipolar scattering, the latter of which results in anisotropic transport tensors of thermal…

Quantum Gases · Physics 2022-11-23 Reuben R. W. Wang , John L. Bohn

We discuss the flow past a flat heterogeneous solid surface decorated by slipping stripes. The spatially varying slip length, $b(y)$, is assumed to be small compared to the scale of the heterogeneities, $L$, but finite. For such "weakly"…

Fluid Dynamics · Physics 2013-10-25 Evgeny S. Asmolov , Jiajia Zhou , Friederike Schmid , Olga I. Vinogradova

The effect of a background rotation on the decay of homogeneous turbulence produced by a grid is experimentally investigated. Experiments have been performed in a channel mounted in the large-scale 'Coriolis' rotating platform, and…

Fluid Dynamics · Physics 2009-09-15 F. Moisy , C. Morize , M. Rabaud , J. Sommeria