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Conditions for the onset of nonpenetrative convection in a horizontal Boussinesq fluid layer subject to a step change in temperature are studied using propagation theory. A wide range of Prandtl numbers and two different kinematic boundary…

Fluid Dynamics · Physics 2025-01-08 C F Ihle , Y Niño

Quasistatic magnetoconvection of a low Prandtl number fluid ($\textrm{Pr}=0.025)$ with a vertical magnetic field is considered in a unit aspect ratio box with no-slip boundaries. At high relative magnetic field strengths, given by the…

Fluid Dynamics · Physics 2023-12-04 Matthew McCormack , Andrei Teimurazov , Olga Shishkina , Moritz Linkmann

We present high-resolution numerical investigations of heat transport by two-dimensional (2D) turbulent Rayleigh-B\'{e}nard (RB) convection over the Rayleigh number range $10^8 \leqslant Ra\leqslant 10^{10}$ and the Prandtl number range…

Fluid Dynamics · Physics 2015-06-17 Yong-Xiang Huang , Quan Zhou

A numerical study of convection with stress-free boundary conditions in the presence of an imposed magnetic field that is tilted with respect to the direction of gravity is carried out in the limit of small magnetic Reynolds number. The…

Fluid Dynamics · Physics 2021-11-03 Justin A. Nicoski , Ming Yan , Michael A. Calkins

We present a numerical study of quasistatic magnetoconvection in a cubic Rayleigh-B\'enard (RB) convection cell subjected to a vertical external magnetic field. For moderate values of the Hartmann number Ha, we find an enhancement of heat…

Fluid Dynamics · Physics 2019-02-26 Zi Li Lim , Kai Leong Chong , Guang-Yu Ding , Ke-Qing Xia

A large number of flows with distinctive patterns have been observed in experiments and simulations of Rayleigh-Benard convection in a water-filled cylinder whose radius is twice the height. We have adapted a time-dependent pseudospectral…

Fluid Dynamics · Physics 2010-04-02 Katarzyna Borońska , Laurette S. Tuckerman

A detailed study of the Rayleigh-B\'enard convection in two-dimensions with free-slip boundaries is presented. Pseudo-spectral method has been used to numerically solve the system for Rayleigh number up to $3.3 \times 10^7$. The system…

Fluid Dynamics · Physics 2009-04-21 Supriyo Paul , Pankaj K. Mishra , Mahendra K. Verma , Krishna Kumar

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 $Pr\approx0.0093$…

The study and characterization of the diversity of spatiotemporal patterns generated when a rectangular layer of fluid is locally heated beneath its free surface is presented. We focus on the instability of a stationary cellular pattern of…

Pattern Formation and Solitons · Physics 2009-01-21 Montserrat A. Miranda , Javier Burguete

The initial bifurcations in rotating Rayleigh-B\'enard convection are studied in the range of dimensionless rotation rate $0 < \Omega < 2150$ for an aspect-ratio-2.5 cylindrical cell. We used simultaneous optical shadowgraph, heat transport…

patt-sol · Physics 2009-10-22 Li Ning , Robert E. Ecke

The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure and its transitions in the physical spaces. As a prototype of problem and to demonstrate the main ideas, we study the…

Analysis of PDEs · Mathematics 2010-05-14 Tian Ma , Shouhong Wang

Buoyancy effect on low-flow condition convective heat transfer of non-conventional coolants, such as liquid metal and molten salts, is a crucial safety factor to advanced reactors under transient or accidental scenarios. The distinct heat…

Fluid Dynamics · Physics 2022-04-04 Cheng-Kai Tai , Tri Nguyen , Arsen S. Iskhakov , Elia Merzari , Nam Dinh , Igor A. Bolotnov

The effects of a vertical static magnetic field on the flow structure and global transport properties of momentum and heat in liquid metal Rayleigh-B\'enard convection are investigated. Experiments are conducted in a cylindrical convection…

Fluid Dynamics · Physics 2020-05-13 Till Zürner , Felix Schindler , Tobias Vogt , Sven Eckert , Jörg Schumacher

In turbulent Rayleigh-B\'enard convection one seeks the relationship between the heat transport, captured by the Nusselt number, and the temperature drop across the convecting layer, captured by Rayleigh number. In experiments, one measures…

Chaotic Dynamics · Physics 2018-05-23 Scott Weady , Sahil Agarwal , Larry Wilen , John Wettlaufer

In this paper we present various convective states of zero-Prandtl number Rayleigh-B\'enard convection using direct numerical simulations (DNS) and a 27-mode low-dimensional model containing the energetic modes of DNS. The origin of these…

Fluid Dynamics · Physics 2010-08-05 Pinaki Pal , Supriyo Paul , Pankaj Wahi , Mahendra K. Verma

The main objective of this article is to study the three-dimensional Rayleigh-Benard convection in a rectangular domain from a pattern formation perspective. It is well known that as the Rayleigh number crosses a critical threshold, the…

Pattern Formation and Solitons · Physics 2011-09-27 Taylan Sengul , Shouhong Wang

In the inclined layer convection system, thermal convection in a Rayleigh--B\'enard cell tilted against gravity, the flow is subject to competing buoyancy and shear forces. For varying inclination angle ($\gamma$) and Rayleigh number…

Fluid Dynamics · Physics 2026-05-26 Zheng Zheng , Sajjad Azimi , Florian Reetz , Tobias M. Schneider

Rattling-induced superconductivity in the {\beta}-pyrochlore oxide KOs2O6 is investigated under high pressure up to 5 GPa. Resistivity measurements in a high-quality single crystal reveal a gradual decrease in the superconducting transition…

We investigate states of rapidly rotating Rayleigh-B\'enard convection in a cylindrical cell over a range of Rayleigh number $3\times10^5\leq Ra \leq 5\times10^{9}$ and Ekman number $10^{-6} \leq Ek \leq 10^{-4}$ for Prandtl number $Pr =…

Fluid Dynamics · Physics 2024-04-16 Xuan Zhang , Philipp Reiter , Olga Shishkina , Robert E. Ecke

The research is devoted to the stability of convective flow in a nonuniformly rotating layer of an electrically conducting fluid in a spiral magnetic field. The stationary and oscillatory modes of magnetic convection are considered…

Plasma Physics · Physics 2019-05-15 M. I. Kopp , A. V. Tur , V. V. Yanovsky