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A general thermodynamic treatment of dissipative relativistic fluids is introduced, where the temperature four vector is not parallel to the velocity field of the fluid. Generic stability and kinetic equilibrium points out a particular…

General Relativity and Quantum Cosmology · Physics 2014-05-27 P. Ván , T. S. Biró

Linear stability of inviscid, parallel, and stably stratified shear flow is studied under the assumption of smooth strictly monotonic profiles of shear flow and density, so that the local Richardson number is positive everywhere. The…

Fluid Dynamics · Physics 2016-05-04 Makoto Hirota , Philip J. Morrison

The wake behind a cube with a face normal to the flow was investigated experimentally in a water tunnel using laser induced fluorescence visualisation (LIF) and particle image velocimetry (PIV) techniques. Measurements were carried out for…

Fluid Dynamics · Physics 2017-10-11 L. Klotz , S. Goujon-Durand , J. Rokicki , J. E. Wesfreid

The central open question about Rayleigh--B\'enard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on the imposed temperature gradient in the strongly…

Fluid Dynamics · Physics 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

We simulate thermal convection in a two-dimensional square box using the no-slip condition on all boundaries, and isothermal bottom and top walls and adiabatic sidewalls. We choose 0.1 and 1 for the Prandtl number $Pr$ and vary the Rayleigh…

Fluid Dynamics · Physics 2025-07-23 Ambrish Pandey , Katepalli R. Sreenivasan

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

In this paper, we show that the quasi-one-dimensional flow of an ideal inviscid fluid in a corrugated pipe is parametrically unstable in certain frequency bands. First-order perturbation theory is used to analyze the stability of the flow,…

Fluid Dynamics · Physics 2021-02-09 Nikita V. Bykov

Motivated by the need to better understand flow unsteadiness in hydraulic turbines, we perform a local linear stability and adjoint-based sensitivity analysis of the turbulent swirling jet at the outlet of a Francis turbine. We use measured…

Fluid Dynamics · Physics 2026-02-11 Lester Corpin Toledo , Artur Gesla , Eunok Yim

We report on two- and three-dimensional numerical simulations of Rayleigh-Taylor instabilities in immiscible fluids. A diffuse-interface model that combines the Cahn-Hilliard equation, governing the evolution of the volume fraction of one…

Fluid Dynamics · Physics 2021-01-05 Raphael Zanella , György Tegze , Romain LeTellier , Hervé Henry

We study turbulent flows in pressure-driven ducts with square cross-section through direct numerical simulation in a wide enough range of Reynolds number to reach flow conditions which are representative of fully developed turbulence.…

Fluid Dynamics · Physics 2018-03-14 S. Pirozzoli , D. Modesti , P. Orlandi , F. Grasso

Simple analytical criteria are derived to determine whether axisymmetric base flows in annuli and pipes are stable or unstable. Both axisymmetric and non-axisymmetric inviscid disturbances are considered. Our sufficient condition for…

Fluid Dynamics · Physics 2026-05-20 Kengo Deguchi , Haider Munawar , Runjie Song

This paper analyses the effects of small injection/suction Reynolds number, Hartmann number, permeability parameter and wave number on a viscous incompressilbe electrically conduction fluid flow in a parallel porous channel. The plates of…

Fluid Dynamics · Physics 2017-09-25 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

We report the experimental observation of a robust horizontal mean flow induced by internal gravity waves. A wave beam is forced at the lateral boundary of a tank filled with a linearly stratified fluid initially at rest. After a transient…

Fluid Dynamics · Physics 2012-09-03 Guilhem Bordes , Antoine Venaille , Sylvain Joubaud , Philippe Odier , Thierry Dauxois

This study is concerned with the statistics of vertical turbulent channel flow laden with inertial particles for two different volume concentrations ($\Phi_{V} = 3 \times 10^{-6}$ and $\Phi_{V} = 5 \times 10^{-5}$) at a Stokes number of…

Fluid Dynamics · Physics 2019-04-22 Guiquan Wang , Kee Onn Fong , Filippo Coletti , Jesse Capecelatro

In this article we consider the linear stability of the two-dimensional flow induced by the linear stretching of a surface in the streamwise direction. The basic flow is a rare example of an exact analytical solution of the Navier-Stokes…

Fluid Dynamics · Physics 2021-08-10 P. T. Griffiths , S. O. Stephen , M. Khan

Particle image velocimetry is applied to the lid-driven flow in a cube to validate the numerical prediction of steady - oscillatory transition at lower than ever observed Reynolds number. Experimental results agree with the numerical…

Fluid Dynamics · Physics 2015-05-28 A. Liberzon , Y. Feldman , A. Yu. Gelfgat

This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analysis. The stability analysis predicts that 3D transition is…

Fluid Dynamics · Physics 2017-08-30 Azan M. Sapardi , Wisam K. Hussam Alban Pothérat , Gregory J. Sheard

Slug flows are a typical intermittent two-phase flow pattern that can occur in submarine pipelines connecting the wells to the production facility and that is known to cause undesired consequences. In this context, computational fluid…

Computational Physics · Physics 2018-09-10 Thomas Douillet-Grellier , Florian De Vuyst , Henri Calandra , Philippe Ricoux

We consider two-phase Navier--Stokes flow with a Boussinesq--Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We…

Numerical Analysis · Mathematics 2015-11-11 John W. Barrett , Harald Garcke , Robert Nürnberg
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