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We investigate the stability and dynamics of natural convection in two dimensions, subject to inhomogeneous boundary conditions. In particular, we consider a Rayleigh-B\`enard (RB) cell, where the horizontal top boundary contains a periodic…

流体动力学 · 物理学 2014-03-14 P. Ripesi , L. Biferale , M. Sbragaglia , A. Wirth

Multi-fluid models have recently been proposed as an approach to improving the representation of convection in weather and climate models. This is an attractive framework as it is fundamentally dynamical, removing some of the assumptions of…

流体动力学 · 物理学 2021-06-18 Daniel Shipley , Hilary Weller , Peter Clark , Will McIntyre

In this manuscript, it is analysed the onset and evolution of natural convection of an incompressible fluid between spherical shells. The shells are kept at a fixed temperature difference and aspect ratio, and the Rayleigh-Benard convection…

流体动力学 · 物理学 2023-09-07 Luca Santelli , Guiquan Wang , Richard J. A. M. Stevens , Roberto Verzicco

The convective instability in a plane liquid layer with time-dependent temperature profile is investigated by means of a general method suitable for linear stability analysis of an unsteady basic flow. The method is based on a non-normal…

流体动力学 · 物理学 2015-05-14 F. Doumenc , T. Boeck , B. Guerrier , M. Rossi

The spectra of turbulent heat flux $\mathrm{H}(k)$ in Rayleigh-B\'{e}nard convection with and without uniform rotation are presented. The spectrum $\mathrm{H}(k)$ scales with wave number $k$ as $\sim k^{-2}$. The scaling exponent is almost…

流体动力学 · 物理学 2016-05-23 Hirdesh K. Pharasi , Deepesh Kumar , Krishna Kumar , Jayanta K. Bhattacharjee

We study the influence of thermal boundary conditions on large aspect ratio Rayleigh-B\'enard convection by a joint analysis of experimental and numerical data sets for a Prandl number $\mathrm{Pr = 7}$ and Rayleigh numbers $\mathrm{Ra =…

流体动力学 · 物理学 2023-09-15 Theo Käufer , Philipp P. Vieweg , Jörg Schumacher , Christian Cierpka

Turbulent Rayleigh-Benard convection with phase changes in an extended layer between two parallel impermeable planes is studied by means of three-dimensional direct numerical simulations for Rayleigh numbers between 10^4 and 1.5\times 10^7…

流体动力学 · 物理学 2012-07-27 Thomas Weidauer , Joerg Schumacher

Rayleigh-B{\'e}nard convection is investigated with sulfur hexafluoride (SF$_6$) in the vicinity of its critical point. In the supercritical domain, direct measurements of the heat flux $Q$ as a function of the temperature difference…

流体动力学 · 物理学 2025-03-12 Valentin Mouet , Guillaume Michel , François Pétrélis , Stephan Fauve

We study shallow moist Rayleigh-Benard convection in the Boussinesq approximation in three-dimensional direct numerical simulations. The thermodynamics of phase changes is approximated by a piecewise linear equation of state close to the…

流体动力学 · 物理学 2010-06-25 Joerg Schumacher , Olivier Pauluis

The structure of the boundary layers in turbulent Rayleigh-Benard convection is studied by means of three-dimensional direct numerical simulations. We consider convection in a cylindrical cell at an aspect ratio one for Rayleigh numbers of…

流体动力学 · 物理学 2012-09-04 Nan Shi , Mohammad S. Emran , Joerg Schumacher

The coarsening and wavenumber selection of striped states growing from random initial conditions are studied in a non-relaxational, spatially extended, and far-from-equilibrium system by performing large-scale numerical simulations of…

斑图形成与孤子 · 物理学 2009-11-10 M. R. Paul , K-H. Chiam , M. C. Cross , P. F. Fischer

A model for three-dimensional Rayleigh-B\'{e}nard convection in low-Prandtl-number fluids near onset with rigid horizontal boundaries in the presence of a uniform vertical magnetic field is constructed and analyzed in detail. The kinetic…

流体动力学 · 物理学 2015-10-28 Arnab Basak , Krishna Kumar

We report experimental measurements of heat transport in rotating Rayleigh-B{\'e}nard convection in a cylindrical convection cell with aspect ratio $\Gamma = 1/2$. The fluid was helium gas with Prandtl number Pr = 0.7. The range of control…

流体动力学 · 物理学 2015-06-17 Robert E. Ecke , Joseph J. Niemela

In this note we examine the dynamical role played by inertial forces on the surface temperature (or buoyancy) variance in strongly rotating, stratified flows with uniform potential vorticity fields. In particular, using a dynamic,…

数学物理 · 物理学 2013-10-14 Zachary Bradshaw , Zoran Grujic

Turbulent superstructures, i.e. large-scale flow structures in turbulent flows, play a crucial role in many geo- and astrophysical settings. In turbulent Rayleigh-B\'{e}nard convection, for example, horizontally extended coherent…

流体动力学 · 物理学 2020-03-30 Gerrit Green , Dimitar G. Vlaykov , Juan Pedro Mellado , Michael Wilczek

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…

流体动力学 · 物理学 2018-10-01 Jörg Schumacher , Ambrish Pandey , Victor Yakhot , Katepalli R. Sreenivasan

We do a generic study of the behavior of a hard disk system under the action of a thermal gradient in presence of an uniform gravity field. We observe the conduction-convection transition and measure the main system observables and fields…

统计力学 · 物理学 2018-02-28 Pedro L. Garrido

Turbulent convection in the interiors of the Sun and the Earth occurs at high Rayleigh numbers $Ra$, low Prandtl numbers $Pr$, and different levels of rotation rates. To understand the combined effects better, we study rotating turbulent…

流体动力学 · 物理学 2024-11-20 Ambrish Pandey , Katepalli R. Sreenivasan

We discuss two aspects of turbulent Rayleigh-B\'{e}nard convection (RBC) on the basis of high-resolution direct numerical simulations in a unique setting; a closed cylindrical cell of aspect ratio of one. First, we present a comprehensive…

流体动力学 · 物理学 2017-11-29 Janet D. Scheel , Jörg Schumacher

Using direct numerical simulations, we study rotating Rayleigh-B\'enard convection in a cylindrical cell for a broad range of Rayleigh, Ekman, and Prandtl numbers from the onset of wall modes to the geostrophic regime, an extremely…

流体动力学 · 物理学 2021-09-14 Robert E. Ecke , Xuan Zhang , Olga Shishkina