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We study two-dimensional Rayleigh-B\'{e}nard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies with Rayleigh number $\rm{Ra}$, this estimate interpolates…

偏微分方程分析 · 数学 2021-09-28 Theodore D. Drivas , Huy Q. Nguyen , Camilla Nobili

Accurate lake temperature estimation is essential for numerous problems tackled in both hydrological and ecological domains. Nowadays physical models are developed to estimate lake dynamics; however, computations needed for accurate…

机器学习 · 计算机科学 2021-09-29 Michael Stalder , Firat Ozdemir , Artur Safin , Jonas Sukys , Damien Bouffard , Fernando Perez-Cruz

We use well resolved numerical simulations with the Lattice Boltzmann Method to study Rayleigh-B\'enard convection in cells with a fractal boundary in two dimensions for $Pr = 1$ and $Ra \in \left[10^7, 10^{10}\right]$. The fractal…

流体动力学 · 物理学 2020-11-25 Srikanth Toppaladoddi , Andrew J. Wells , Charles R. Doering , John S. Wettlaufer

Direct numerical simulations are carried out to study flow structure and transport properties in turbulent Rayleigh-B\'{e}nard convection in a cylindrical cell of aspect ratio one with an imposed axial magnetic field. Flows at the Prandtl…

流体动力学 · 物理学 2020-06-24 Ruslan Akhmedagaev , Oleg Zikanov , Dmitry Krasnov , Joerg Schumacher

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

统计力学 · 物理学 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

We study the connection between extreme events of thermal and kinetic energy dissipation rates in the bulk of three-dimensional Rayleigh-B\'{e}nard convection and the wall shear stress patterns at the top and the bottom planes that enclose…

流体动力学 · 物理学 2022-06-15 Valentina Valori , Joerg Schumacher

We report on experimental determinations of the temperature field in the interior (bulk) of turbulent Rayleigh-Benard convection for a cylindrical sample with aspect ratio (diameter over height) of 0.50, both in the classical and in the…

流体动力学 · 物理学 2015-06-19 Guenter Ahlers , Eberhard Bodenschatz , Xiaozhou He

We present highly resolved measurements of the near-wall temperature field in thermally driven convection at a rough surface. Our measurements have been undertaken in a very large experimental facility called the "Barrel of Ilmenau". They…

流体动力学 · 物理学 2018-04-17 Ronald du Puits , Alice Loesch , Julien Salort , Francesca Chillà

We report heat transfer and temperature profile measurements in laboratory experiments of rapidly rotating convection in water under intense thermal forcing (Rayleigh number $Ra$ as high as $\sim 10^{13}$) and unprecedentedly strong…

流体动力学 · 物理学 2020-11-11 Jonathan S. Cheng , Matteo Madonia , Andrés J. Aguirre Guzmán , Rudie P. J. Kunnen

Thermal convection in fluid layers heated from below are usually realized experimentally as well as treated theoretically with fixed boundaries on which conditions for the temperature and the velocity field are prescribed. The thermal and…

流体动力学 · 物理学 2011-02-08 R. D. Simitev , F. H. Busse

Using direct numerical simulations of Rayleigh-B\'{e}nard convection (RBC) under free-slip boundary condition, we show that the normalized correlation function between the vertical velocity field and the temperature field, as well as the…

流体动力学 · 物理学 2012-01-20 Mahendra K. Verma , Pankaj K. Mishra , Ambrish Pandey , Supriyo Paul

This work addresses the effects of different thermal sidewall boundary conditions on the formation of flow states and heat transport in two- and three-dimensional Rayleigh--B\'enard convection (RBC) by means of direct numerical simulations…

流体动力学 · 物理学 2021-11-02 Philipp Reiter , Xuan Zhang , Olga Shiskina

Subglacial lakes are isolated, cold-temperature and high-pressure water environments hidden under ice sheets, which might host extreme microorganisms. Here, we use two-dimensional direct numerical simulations in order to investigate the…

流体动力学 · 物理学 2021-03-15 Louis-Alexandre Couston

We numerically investigate turbulent Rayleigh-B\'enard convection with gas bubbles attached to the hot plate, mimicking a core feature in electrolysis, catalysis, or boiling. The existence of bubbles on the plate reduces the global heat…

流体动力学 · 物理学 2022-08-17 Hao-Ran Liu , Kai Leong Chong , Rui Yang , Roberto Verzicco , Detlef Lohse

Unlike solids, the heat transfer in fluids can be greatly enhanced due to the presence of convection. Under gravity, an unevenly distributed temperature field results in differences in buoyancy, driving fluid motion that is seen in…

流体动力学 · 物理学 2024-10-04 Jinzi Mac Huang , Jun Zhang

Direct numerical simulations are performed to study turbulent Rayleigh-B\'{e}nard convection in a vertical cylindrical cavity with uniform axial magnetic field. Flows at high Hartmann and Rayleigh numbers are considered. The calculations…

流体动力学 · 物理学 2020-05-26 Ruslan Akhmedagaev , Oleg Zikanov , Dmitry Krasnov , Joerg Schumacher

Floquet analysis of modulated magnetoconvection in Rayleigh-B\'{e}nard\ geometry is performed. The temperature of the lower plate is varied sinusoidally in time about a finite mean. As the Rayleigh number $\mathrm{Ra}$ is made to cross a…

流体动力学 · 物理学 2021-03-17 Suparna Hazra , Krishna Kumar , Saheli Mitra

In order to explore the effects of climate change on atmospheric convection and the water cycle, we develop and analyse an extension of the Rainy-B\'enard model, which is itself a moist version of the Rayleigh-B\'enard model of dry…

流体动力学 · 物理学 2025-04-09 Gregory N. Dritschel , Steven M. Tobias , Douglas J. Parker , Lorenzo Tomassini

Previous numerical studies have shown that the "ultimate regime of thermal convection" can be attained in a Rayleigh-Benard cell when the kinetic and thermal boundary layers are eliminated by replacing the walls with periodic boundary…

流体动力学 · 物理学 2015-03-19 Laura E. Schmidt , Enrico Calzavarini , Detlef Lohse , Federico Toschi , Roberto Verzicco

The combined effects of buoyancy-driven Rayleigh-B\'{e}nard convection (RC) and surface tension-driven Marangoni convection (MC) are studied in a triple-layer configuration which serves as a simplified model for a liquid metal battery…

流体动力学 · 物理学 2017-05-31 Thomas Köllner , Thomas Boeck , Jörg Schumacher