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Results from direct numerical simulations for three dimensional Rayleigh-Benard convection in a cylindrical cell of aspect ratio 1/2 and Pr=0.7 are presented. They span five decades of Ra from $2\times 10^6$ to $2 \times10^{11}$. Good…

流体动力学 · 物理学 2011-12-05 Richard J. A. M. Stevens , Roberto Verzicco , Detlef Lohse

We report the statistical properties of temperature and thermal energy dissipation rate in low-Prandtl number turbulent Rayleigh-B\'enard convection. High resolution two-dimensional direct numerical simulations were carried out for the…

流体动力学 · 物理学 2019-12-12 Ao Xu , Le Shi , Heng-Dong Xi

We report on a numerical study of turbulent convection driven by a combination of internal heat sources and sinks. Motivated by a recent experimental realisation (Lepot et al. 2018), we focus on the situation where the cooling is uniform,…

流体动力学 · 物理学 2020-10-21 Benjamin Miquel , Vincent Bouillaut , Sebastien Aumaitre , Basile Gallet

A Rayleigh-B\'enard cell has been designed to explore the Prandtl (Pr) dependence of turbulent convection in the cross-over range $0.7<Pr<21$ and for the full range of soft and hard turbulences, up to Rayleigh number $Ra\simeq 10^{11}$. The…

凝聚态物理 · 物理学 2009-11-10 P. -E. Roche , B. Castaing , B. Chabaud , B. Hebral

A theoretical study is presented in this paper to investigate the conjugate heat transfer across a vertical finite wall separating two forced and free convection flows at different temperatures. The heat conduction in the wall is in the…

流体动力学 · 物理学 2015-09-15 Jian-Jun Shu , I. Pop

The flow field and the heat transfer around six in-line iso-thermal circular cylinders has been studied by mean of numerical simulations. Two values of the center to center spacing ($s=3.6d$ and $4d$, where $d$ is the cylinder diameter) at…

流体动力学 · 物理学 2015-09-16 Francesco Fornarelli , Paolo Oresta , Antonio Lippolis

This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer…

偏微分方程分析 · 数学 2020-02-20 Francisco J. Fernández , Lino J. Alvarez-Vázquez , Aurea Martínez

In this research, a novel method to investigation the transient heat transfer coefficient in a channel is suggested experimentally, in which the water flow, itself, is considered both just liquid phase and liquid-vapor phase. The…

流体动力学 · 物理学 2019-07-30 Majid Karami , Somayeh Davoodabadi Farahani , Farshad Kowsary , Amir Mosavi

Numerical data for the heat transfer as a function of the Prandtl (Pr) and Rossby (Ro) numbers in turbulent rotating Rayleigh-Benard convection are presented for Rayleigh number Ra = 10^8. When Ro is fixed the heat transfer enhancement with…

流体动力学 · 物理学 2011-12-05 Richard J. A. M. Stevens , Herman J. H. Clercx , Detlef Lohse

The work considers a fully turbulent flow with heat transfer in a channel half-filled with an array of cubes based on the work of Breugem and Boersma (2005) and Chandesris et al. (2013), at $\mathrm{Re}_\mathrm{bulk} = 5485$ and three…

流体动力学 · 物理学 2026-05-14 Wojciech Sadowski , Hakan Demir , Francesca di Mare

In this paper, we are concerned with the validity of Prandtl boundary layer expansion for the solutions to two dimensional (2D) steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain $\{(X, Y)\in[0,…

偏微分方程分析 · 数学 2020-01-20 Shijin Ding , Zhilin Lin , Feng Xie

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

偏微分方程分析 · 数学 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

Steady but generally unstable solutions of the 2D Boussinesq equations are obtained for no-slip boundary conditions and Prandtl number 7. The primary solution that bifurcates from the conduction state at Rayleigh number $Ra \approx 1708$…

流体动力学 · 物理学 2015-06-11 Fabian Waleffe , Anakewit Boonkasame , Leslie M. Smith

Steady flows that optimize heat transport are obtained for two-dimensional Rayleigh-B\'enard convection with no-slip horizontal walls for a variety of Prandtl numbers $Pr$ and Rayleigh number up to $Ra\sim 10^9$. Power law scalings of…

流体动力学 · 物理学 2023-07-19 David Sondak , Leslie M. Smith , Fabian Waleffe

We study the scaling properties of heat transfer $Nu$ in turbulent thermal convection at large Prandtl number $Pr$ using a quasi-linear theory. We show that two regimes arise, depending on the Reynolds number $Re$. At low Reynolds number,…

混沌动力学 · 物理学 2015-05-28 B. Dubrulle

The model under consideration is based on approximate analytical solution of two dimensional stationary Navier-Stokes and Fourier-Kirchhoff equations. Approximations are based on the typical for natural convection assumptions: the fluid…

流体动力学 · 物理学 2013-07-09 Sergey Leble , Witold M. Lewandowski

Direct numerical simulations are performed to investigate the combined effects of surface roughness and wall heat transfer on spatially developing compressible turbulent boundary layers at $Ma=2.5$. The roughness consists of transverse…

流体动力学 · 物理学 2026-04-14 Youtian Su , Wei-Xi Huang , Chunxiao Xu

The possible transition to the so-called ultimate regime, wherein both the bulk and the boundary layers are turbulent, has been an outstanding issue in thermal convection, since the seminal work by Kraichnan [Phys. Fluids 5, 1374 (1962)].…

流体动力学 · 物理学 2018-04-12 Xiaojue Zhu , Varghese Mathai , Richard J. A. M. Stevens , Roberto Verzicco , Detlef Lohse

At sufficiently high Reynolds numbers, shear-flow turbulence close to a wall acquires universal properties. When length and velocity are rescaled by appropriate characteristic scales of the turbulent flow and thereby measured in \emph{inner…

流体动力学 · 物理学 2020-03-18 Sajjad Azimi , Tobias M. Schneider

The transitional boundary layer flow over a flat plate is investigated. The boundary layer flow is known to develop unstable Tollmien-Schlichting waves above a critical value of the Reynolds number. However, it is also known that this…

流体动力学 · 物理学 2013-02-15 Damien Biau