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We study penetrative convection of a fluid confined between two horizontal plates, the temperatures of which are such that a temperature of maximum density lies between them. The range of Rayleigh numbers studied is $Ra = \left[10^6, 10^8…

流体动力学 · 物理学 2019-09-10 Srikanth Toppaladoddi , J. S. Wettlaufer

We present a numerical study of vorticity production and transport in the two-dimensional Rayleigh-B\'enard (RB) convection. Direct numerical simulations are carried out in the Rayleigh number ($Ra$) range $10^{5}\le Ra \le 10^{6}$, the…

流体动力学 · 物理学 2022-01-20 Ao Xu , Ben-Rui Xu , Li-Sheng Jiang , Heng-Dong Xi

We present the results of direct numerical simulations of Rayleigh-B\'enard convection in the presence of a uniform vertical magnetic field near instability onset. We have done simulations in boxes with square as well as rectangular…

流体动力学 · 物理学 2014-09-10 Arnab Basak , Rohit Raveendran , Krishna Kumar

In this paper we estimate the relative strengths of various terms of the Rayleigh-B\'enard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity, $U$, or the P\'eclet number that…

流体动力学 · 物理学 2016-11-29 Ambrish Pandey , Abhishek Kumar , Anando G. Chatterjee , Mahendra K. Verma

Using direct numerical simulations of rotating Rayleigh-B\'enard convection, we explore the transitions between turbulent states from a 3D flow state towards a quasi-2D condensate known as the large-scale vortex (LSV). We vary the Rayleigh…

We study the navigation of a self-propelled inertial particle in two-dimensional Rayleigh--B\'enard convection at Prandtl number $Pr = 0.71$ and cell aspect ratio $\Gamma = 4$ for Rayleigh numbers $Ra$ ranging from $10^{7}$ to $10^{11}$. A…

流体动力学 · 物理学 2026-04-17 Ao Xu , Hua-Lin Wu , Ben-Rui Xu , Heng-Dong Xi

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

We analyze the Prandtl number (Pr) dependence of spectra and fluxes of kinetic energy, as well as the energy injection rates and dissipation rates, of turbulent thermal convection using numerical data. As expected, for a flow with $…

流体动力学 · 物理学 2021-06-03 Shashwat Bhattacharya , Mahendra K. Verma , Ravi Samtaney

We perform direct numerical simulations of rotating Rayleigh--B\'enard convection of fluids with low ($Pr=0.1$) and high ($Pr=5$) Prandtl numbers in a horizontally periodic layer with no-slip top and bottom boundaries. At both Prandtl…

The non-hydrostatic, quasigeostrophic approximation for rapidly rotating Rayleigh-B\'enard convection admits a class of exact `single mode' solutions. These solutions correspond to steady laminar convection with a separable structure…

流体动力学 · 物理学 2015-06-03 Ian Grooms

Results from direct numerical simulations of vertical natural convection at Rayleigh numbers $1.0\times 10^5$-$1.0\times 10^9$ and Prandtl number $0.709$ support a generalised applicability of the Grossmann-Lohse (GL) theory, which was…

流体动力学 · 物理学 2018-06-21 Chong Shen Ng , Andrew Ooi , Detlef Lohse , Daniel Chung

We simulate thermal convection in a two-dimensional square box using the no-slip condition on all boundaries, and isothermal bottom and top walls and adiabatic sidewalls. We choose 0.1 and 1 for the Prandtl number $Pr$ and vary the Rayleigh…

流体动力学 · 物理学 2025-07-23 Ambrish Pandey , Katepalli R. Sreenivasan

In turbulent wall sheared thermal convection, there are three different flow regimes, depending on the relative relevance of thermal forcing and wall shear. In this paper we report the results of direct numerical simulations of such sheared…

流体动力学 · 物理学 2021-01-20 Alexander Blass , Pier Tabak , Roberto Verzicco , Richard J. A. M. Stevens , Detlef Lohse

We analyse the nonlinear dynamics of the large scale flow in Rayleigh-B\'enard convection in a two-dimensional, rectangular geometry of aspect ratio $\Gamma$. We impose periodic and free-slip boundary conditions in the streamwise and…

流体动力学 · 物理学 2021-03-31 Philip Winchester , Vassilios Dallas , Peter D. Howell

Rayleigh-B\'enard convection is numerically simulated in two- and three-dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the…

comp-gas · 物理学 2016-08-31 Xiaowen Shan

We study turbulent Rayleigh-B\'enard convection through direct numerical simulations in a three-dimensional plane layer of aspect ratio 4 for Rayleigh numbers $10^5 \leq Ra \leq 10^{11}$ and Prandtl number $Pr=0.7$. We summarize the…

流体动力学 · 物理学 2025-12-30 Roshan J. Samuel , Jörg Schumacher

The dependence of the heat transfer, as measured by the nondimensional Nusselt number $Nu$, on Ekman pumping for rapidly rotating Rayleigh-B\'enard convection in an infinite plane layer is examined for fluids with Prandtl number $Pr = 1$. A…

流体动力学 · 物理学 2017-09-13 Meredith Plumley , Keith Julien , Philippe Marti , Stephan Stellmach

$SF_6$ in the vicinity of its critical point was used to study turbulent convection up to exceptionally high Rayleigh numbers, $Ra$, (up to $5\cdot 10^{14}$) and to verify for the first time the generalized scaling laws for the heat…

chao-dyn · 物理学 2009-10-31 Sh. Ashkenazi , V. Steinberg

We study the stability of steady convection rolls in 2D Rayleigh--B\'enard convection with free-slip boundaries and horizontal periodicity over twelve orders of magnitude in the Prandtl number $(10^{-6} \leq Pr \leq 10^6)$ and five orders…

流体动力学 · 物理学 2021-07-14 Philip Winchester , Peter D. Howell , Vassilios Dallas

High-amplitude events of the out-of-plane vorticity component $\omega_z$ are analyzed by stereoscopic particle image velocimetry (PIV) in the bulk region of turbulent Rayleigh-B\'{e}nard convection in air. The Rayleigh numbers ${\rm Ra}$…

流体动力学 · 物理学 2022-06-15 Valentina Valori , Robert Kräuter , Jörg Schumacher