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We investigate the onset of convective instability and subsequent transitions near it in Rayleigh-B\'enard convection (RBC) of electrically conducting low Prandtl-number (Pr) fluids in the simultaneous presence of rotation about the…

流体动力学 · 物理学 2018-12-18 Manojit Ghosh , Paromita Ghosh , Yada Nandukumar , Pinaki Pal

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 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

The 3$\omega$ method is widely used to measure the thermal conductivity and the specific heat of wires and thin films. These measurements are typically performed under high vacuum conditions, which justify the use of heat transfer models…

应用物理 · 物理学 2025-12-23 Chuyue Peng , Joshua Ginzburg , Uri Dickman , Jacob Bair , Matthias Kuehne

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

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

Two-dimensional direct numerical simulations are conducted for convection sustained by uniform internal heating in a horizontal fluid layer. Top and bottom boundary temperatures are fixed and equal. Prandtl numbers range from 0.01 to 100,…

流体动力学 · 物理学 2015-03-13 David Goluskin , Edward A. Spiegel

New bounds are proven on the mean vertical convective heat transport, $\overline{\langle wT \rangle}$, for uniform internally heated (IH) convection in the limit of infinite Prandtl number. For fluid in a horizontally-periodic layer between…

流体动力学 · 物理学 2023-03-22 Ali Arslan , Giovanni Fantuzzi , John Craske , Andrew Wynn

Direct numerical simulations have been performed for turbulent thermal convection between horizontal no-slip, permeable walls with a distance $H$ and a constant temperature difference $\Delta T$ at the Rayleigh number…

流体动力学 · 物理学 2020-04-21 Koki Kawano , Shingo Motoki , Masaki Shimizu , Genta Kawahara

Rigorous upper limits on the vertical heat transport in two dimensional Rayleigh-Benard convection between stress-free isothermal boundaries are derived from the Boussinesq approximation of the Navier-Stokes equations. The Nusselt number Nu…

流体动力学 · 物理学 2015-05-27 Jared P. Whitehead , Charles R. Doering

We study turbulent Rayleigh-B\'enard convection over four decades of Rayleigh numbers 4E8 < Ra < 2E12, while harmonically modulating the temperatures of the plates of our cylindrical cell. We probe the flow by temperature sensors placed in…

流体动力学 · 物理学 2022-04-13 P. Urban , P. Hanzelka , T. Králík , V. Musilová , L. Skrbek

This work proposes an extensive review of laminar and turbulent forced convective heat transfer correlations inside tubes by analyzing both experimental and computational research. Convective heat transfer is influenced by fluid turbulence…

流体动力学 · 物理学 2024-01-09 Gubran A. Q. Abdulrahman , Sultan M. Alharbi

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

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

In the past few decades, great efforts have been devoted to studying heat transfer on the nanoscale due to its importance in multiple technologies such as thermal control and sensing applications. Heat conduction through the nanoconfined…

计算物理 · 物理学 2022-06-03 Reza Rabani , Samy Merabia , Ahmadreza Pishevar

We perform a two-dimensional numerical study on the thermal effect of porous media on global heat transport and flow structure in Rayleigh-B\'enard (RB) convection, focusing on the role of thermal conductivity $\lambda$ of porous media,…

流体动力学 · 物理学 2023-04-17 Jun Zhong , Shuang Liu , Chao Sun

Heat transfer in a fluid can be greatly enhanced by natural convection, giving rise to the nuanced relationship between the Nusselt number and Rayleigh number that has been a focus of modern fluid dynamics. Our work explores convection in…

流体动力学 · 物理学 2025-07-24 Yuejia Zhang , Nicholas J. Moore , Jinzi Mac Huang

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

Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate in both experiments and simulations. This is particularly so for very low molecular Prandtl numbers as in stellar…

流体动力学 · 物理学 2022-09-09 Ambrish Pandey , Dmitry Krasnov , Katepalli R. Sreenivasan , Jörg Schumacher

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