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We consider convection in an internally heated layer of fluid that is bounded below by a perfect insulator and above by a poor conductor. The poorly conducting boundary is modelled by a fixed heat flux. Using solely analytical methods, we…

流体动力学 · 物理学 2016-06-30 David Goluskin

We study Rayleigh-Benard convection in the high-Rayleigh-number and high-Prandtl-number regime, i.e., we consider a fluid in a container that is exposed to strong heating of the bottom and cooling of the top plate in the absence of inertia…

偏微分方程分析 · 数学 2015-06-12 Christian Seis

We report the results of high resolution direct numerical simulations of two-dimensional Rayleigh-B\'enard convection for Rayleigh numbers up to $\Ra=10^{10}$ in order to study the influence of temperature boundary conditions on turbulent…

流体动力学 · 物理学 2009-11-13 Hans Johnston , Charles R. Doering

Our goal is to investigate fundamental properties of the system of internally cooled convection. The system consists of an upward thermal flux at the lower boundary, a mean temperature lapse-rate and a constant cooling term in the bulk with…

流体动力学 · 物理学 2024-04-09 Lokahith Agasthya , Caroline Muller

In this paper, we have used the QUICK scheme of the finite volume method to investigate the problem of steady 2-D free convective incompressible flow with heat and mass transfer in an inclined rectangular domain at different Rayleigh…

流体动力学 · 物理学 2017-08-28 V. Ambethkar , D. Kushawaha

We present numerical simulations of three-dimensional thermal convective flows in a cubic cell at high Rayleigh number using thermal lattice Boltzmann (LB) method. The thermal LB model is based on double distribution function approach,…

流体动力学 · 物理学 2020-08-05 Ao Xu , Le Shi , Heng-Dong Xi

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…

流体动力学 · 物理学 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer. Convection is driven by a vertical, destabilising temperature difference applied across the…

流体动力学 · 物理学 2021-07-07 Thomas Le Reun , Duncan R. Hewitt

Convection of an internally heated fluid, confined between top and bottom plates of equal temperature, is studied by direct numerical simulation in two and three dimensions. The unstably stratified upper region drives convection that…

流体动力学 · 物理学 2016-06-30 David Goluskin , Erwin P. van der Poel

Heat transport in highly turbulent convection is not well understood. In this paper, we simulate compressible convection in a box of aspect ratio 4 using computationally-efficient MacCormack-TVD finite difference method on single and…

流体动力学 · 物理学 2024-11-18 Harshit Tiwari , Lekha Sharma , Mahendra K. Verma

To provide insights into the challenging problem of turbulent convection, Jack Herring used a greatly truncated version of the complete Boussinesq equations containing only one horizontal wavenumber. In light of later observations of a…

流体动力学 · 物理学 2023-03-13 Katepalli R. Sreenivasan , Joseph J. Niemela

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

Vertical convection is investigated using direct numerical simulations over a wide range of Rayleigh numbers $10^7\le Ra\le10^{14}$ with fixed Prandtl number $Pr=10$, in a two-dimensional convection cell with unit aspect ratio. It is found…

流体动力学 · 物理学 2021-05-05 Qi Wang , Hao-Ran Liu , Roberto Verzicco , Olga Shishkina , Detlef Lohse

We perform three-dimensional direct numerical simulations of surface-driven convection near the temperature of maximum density $\tilde T_{md}$. A dynamic surface boundary condition couples heat flux through the surface to the induced…

大气与海洋物理 · 物理学 2024-05-08 Jason Olsthoorn

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

Melting and, conversely, solidification processes in the presence of convection are key to many geophysical problems. An essential question related to these phenomena concerns the estimation of the (time-evolving) melting rate, which is…

流体动力学 · 物理学 2018-05-23 Babak Rabbanipour Esfahani , Silvia C. Hirata , Stefano Berti , Enrico Calzavarini

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

The flow of fluid confined between a heated rotating cylinder and a cooled stationary cylinder is a canonical experiment for the study of heat transfer in engineering. The theoretical treatment of this system is greatly simplified if the…

流体动力学 · 物理学 2015-09-15 Jose M. Lopez , Francisco Marques , Marc Avila

Direct Numerical Simulations of turbulent convection in a large aspect-ratio box are carried out in the range of Rayleigh number $7 \times 10^4 \le Ra \le 2 \times 10^6$ at Prandtl number Pr=0.71. A strong correlation between the vertical…

流体动力学 · 物理学 2017-08-09 Arnab K. De , Vinayak Eswaran , Pankaj K. Mishra

Inclined turbulent thermal convection by large Rayleigh numbers in extremely small-Prandtl-number fluids is studied based on results of both, measurements and high-resolution numerical simulations. The Prandtl number $Pr\approx0.0093$…

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