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We present three results on stability of rolls in Boussinesq convection in a plane horizontal layer with rigid boundaries that is rotating about an inclined axis with the angular velocity $\Omega=(\Omega_1,\Omega_2,\Omega_3)$. i. We call…

Fluid Dynamics · Physics 2023-12-27 Olga Podvigina

An analytical theory is presented for linear, local, short-wavelength instabilities in swirling flows, in which axial shear, differential rotation, radial thermal stratification, viscosity, and thermal diffusivity are all taken into…

Fluid Dynamics · Physics 2025-09-10 Oleg N. Kirillov , Innocent Mutabazi

If a fluid flow is driven by a weak Gaussian random force, the nonlinearity in the Navier-Stokes equations is negligibly small and the resulting velocity field obeys Gaussian statistics. Nonlinear effects become important as the driving…

Fluid Dynamics · Physics 2018-10-01 Jörg Schumacher , Ambrish Pandey , Victor Yakhot , Katepalli R. Sreenivasan

This work focuses on Rayleigh-Taylor instability (RTI)driven by acceleration with power-law time-dependence. We review the existing theoretical approaches, apply the group theory approach to solve this long-standing problem, and yield the…

Fluid Dynamics · Physics 2020-08-26 Snezhana Abarzhi , Kurt Williams

We present experimental data and their theoretical interpretation for the decay rates of temperature fluctuations in a thin layer of a fluid heated from below and confined between parallel horizontal plates. The measurements were made with…

Statistical Mechanics · Physics 2013-05-15 Jaechul Oh , José M. Ortiz de Zárate , Jan V. Sengers , Guenter Ahlers

We consider the onset of Boussinesq convection in a horizontal layer of electrically conducting incompressible fluid with rigid electrically insulating horizontal boundaries. The fluid is heated from below and rotates about a vertical axis;…

Pattern Formation and Solitons · Physics 2011-02-22 Olga Podvigina

Rayleigh-B\'{e}nard convection in horizontal layers of binary fluid mixtures heated from below with realistic horizontal boundary conditions is studied theoretically using multi-mode Galerkin expansions. For positive separation ratios the…

patt-sol · Physics 2017-05-17 B. Huke , M. Lücke , P. Büchel , Ch. Jung

The effect of viscous drag and surface tension on the nonlinear two fluid inter facial structures induced by Rayleigh -Taylor instability and Richtmyer-Meshkov instability are investigated.Viscosity and surface tension play important roles…

Plasma Physics · Physics 2015-05-27 M. R. Gupta , Rahul Banerjee , L. K. Mandal , R. Bhar , H. C. Pant , Manoranjan Khan , M. K. Srivastava

Suspended fibres significantly alter fluid rheology, as exhibited in for example solutions of DNA, RNA and synthetic biological nanofibres. It is of interest to determine how this altered rheology affects flow stability. Motivated by the…

Fluid Dynamics · Physics 2017-08-07 Craig R. Holloway , David J. Smith , Rosemary J. Dyson

Rayleigh-B{\'e}nard convection experiments were done with two adjacent cubic cells with a partial wall in between to force the generation of two interacting convection rolls. Observed stable states include both counter-rotating and…

Fluid Dynamics · Physics 2023-06-14 Eric Brown , Dandan Ji

The turbulent Rayleigh--Taylor system in a rotating reference frame is investigated by direct numerical simulations within the Oberbeck-Boussinesq approximation. On the basis of theoretical arguments, supported by our simulations, we show…

Fluid Dynamics · Physics 2017-05-16 G. Boffetta , A. Mazzino , S. Musacchio

We introduce a shell (``GOY'') model for turbulent binary fluids. The variation in the concentration between the two fluids acts as an active scalar leading to a redefined conservation law for the energy, which is incorporated into the…

Soft Condensed Matter · Physics 2009-10-28 Mogens H. Jensen , Poul Olesen

We present results of a simulation study of inelastic hard-disks vibrated in a vertical container. An Event-Driven Molecular Dynamics method is developed for studying the onset of convection. Varying the relevant parameters (inelasticity,…

Statistical Mechanics · Physics 2016-08-31 Daniela Paolotti , Alain Barrat , Umberto Marini Bettolo Marconi , Andrea Puglisi

Numerical simulation studies in 2D with the addition of noise are reported for the convection of a supercritical fluid,3He, in a Rayleigh-Be'nard cell where the fluid parameters and cell height L are the same as in published laboratory…

Fluid Dynamics · Physics 2009-11-10 Akira Furukawa , Horst Meyer , Akira Onuki

We study the Rayleigh-Taylor instability (RTI) of electrostatic plane wave perturbations in compressible relativistic magnetoplasma fluids with thermal ions under gravity in three different cases of when (i) electrons are in isothermal…

Plasma Physics · Physics 2024-12-31 R. Dey , A. P. Misra

A Rayleigh-Taylor-like instability of a dense colloidal layer under gravity in a capillary of microfluidic dimensions is considered. We access all relevant lengthscales with particle-level microscopy and computer simulations which…

This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the fluid lays on top…

Analysis of PDEs · Mathematics 2019-11-11 Francisco Gancedo , Rafael Granero-Belinchon , Stefano Scrobogna

Starting from the linearized fluctuating Boussinesq equations we derive an expression for the structure factor of fluids in stationary convection-free thermal nonequilibrium states, taking into account both gravity and finite-size effects.…

Statistical Mechanics · Physics 2013-05-15 J. M. Ortiz de Zarate , J. V. Sengers

The Rayleigh-B\'enard instability of the stationary throughflow in a horizontal porous layer, also known as Prats' problem, is here analysed in a fresh new perspective. In fact, the classical analysis of the linear instability, carried out…

Fluid Dynamics · Physics 2022-01-04 Antonio Barletta

The transition to turbulence in Rayleigh-Benard convection with phase changes and the resulting convective patterns are studied in a three-dimensional Galerkin model. Our study is focused to the conditionally unstable regime of moist…

Fluid Dynamics · Physics 2011-10-10 Thomas Weidauer , Olivier Pauluis , Joerg Schumacher