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We analyse a model for thermal convection in a class of generalized Navier-Stokes equations containing fourth order spatial derivatives of the velocity and of the temperature. The work generalises the isothermal model of A. Musesti. We…

This work addresses the conjugate heat transfer of a simplified PTT fluid flowing past an unbounded sphere in the Stokes regime ($Re = 0.01$). The problem is numerically solved with the finite-volume method assuming axial symmetry, absence…

流体动力学 · 物理学 2021-04-14 F. Pimenta , M. A. Alves

In this dissertation two-dimensional buoyancy-driven flows are investigated. While usually the Navier-Stokes equations are equipped with no-slip boundary conditions here we focus on the Navier-slip conditions that, depending on the system…

偏微分方程分析 · 数学 2024-09-25 Fabian Bleitner

We present two dimensional numerical simulations of a natural convection problem in an unbounded domain. A thermal stratification is applied in the vertical direction and the flow circulation is induced by a heat island located on the…

数值分析 · 数学 2007-07-13 Thierry Dubois , Rachid Touzani

We present results on the global and local characterisation of heat transport in homogeneous bubbly flow. Experimental measurements were performed with and without the injection of $\sim 2.5$ mm diameter bubbles (corresponding to $Re_b…

The behaviour of the turbulent Prandtl number ($Pr_t$) for buoyancy-affected flows near a vertical surface is investigated as an extension study of {Gibson \& Leslie, \emph{Int. Comm. Heat Mass Transfer}, Vol. 11, pp. 73-84 (1984)}. By…

流体动力学 · 物理学 2021-07-26 Xiaowei Xu , Andrew S. H. Ooi , Richard D. Sandberg

This study explores heat and turbulent modulation in three-dimensional multiphase Rayleigh-B\'enard convection using direct numerical simulations. Two immiscible fluids with identical reference density undergo systematic variations in…

流体动力学 · 物理学 2024-08-26 Abbas Moradi Bilondi , Nicolò Scapin , Luca Brandt , Parisa Mirbod

Combined measurements of velocity components and temperature in a turbulent Rayleigh-B\'enard convection flow at a low Prandtl number of $\mathit{Pr}= 0.029$ and Rayleigh numbers between $10^6 \le \mathit{Ra} \le 6 \times 10^7$ are…

流体动力学 · 物理学 2020-02-19 Till Zürner , Felix Schindler , Tobias Vogt , Sven Eckert , Jörg Schumacher

The effects of insulating lids on the convection beneath were investigated experimentally using rectangular convection cells in the flux Rayleigh number range $2.3\times10^{9}\leq Ra_F \leq 1.8\times10^{11}$ and cylindrical cells in the…

流体动力学 · 物理学 2017-04-05 Fei Wang , Shi-Di Huang , Ke-Qing Xia

Thermal convection in a horizontal layer with uniform internal heating and stress-free constant-temperature boundaries is analyzed numerically. The work is motivated by the questions arising in development of liquid metal batteries, in…

流体动力学 · 物理学 2017-06-28 Linyan Xiang , Oleg Zikanov

Solid state convection can take place in the rocky or icy mantles of planetary objects and these mantles can be surrounded above or below or both by molten layers of similar composition. A flow toward the interface can proceed through it by…

流体动力学 · 物理学 2018-05-23 Stéphane Labrosse , Adrien Morison , Renaud Deguen , Thierry Alboussière

We consider a flow of non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and the spatially inhomogeneous Dirichlet boundary condition for…

偏微分方程分析 · 数学 2022-10-12 Anna Abbatiello , Miroslav Bulíček , Petr Kaplický

We present an extensive study of Boussinesq thermal convection including a temperature-dependent internal heating source, based on numerical three-dimensional simulations. The temperature dependence mimics triple-$\alpha$ nuclear reactions…

高能天体物理现象 · 物理学 2018-12-19 F. Garcia , F. R. N Chambers , A. L. Watts

Motivated by nuclear safety issues, we study the heat transfers in a thin cylindrical fluid layer with imposed fluxes at the bottom and top surfaces (not necessarily equal) and a fixed temperature on the sides. We combine direct numerical…

流体动力学 · 物理学 2024-01-17 Florian Rein , Laure Carénini , Florian Fichot , Benjamin Favier , Michael Le Bars

We study from the numerical point of view, instabilities developed in a fluid layer with a free surface, in a cylindrical container which is non-homogeneously heated from below. In particular we consider the case in which the applied heat…

斑图形成与孤子 · 物理学 2007-05-23 M. C. Navarro , A. M. Mancho , H. Herrero

In this work, experimental and numerical investigations are considered for confined buoyant turbulent jet with varying inlet temperatures. Results of the experimental work and numerical simulations for the problem under consideration are…

流体动力学 · 物理学 2013-03-01 M. F. El-Amin , A. Salama , S. Sun

Heat transport in turbulent thermal convection increases with the thermal forcing, but in almost all studies the rate of this increase is slower than it would be if transport became independent of the molecular diffusivities -- the heat…

流体动力学 · 物理学 2022-07-19 Sina Kazemi , Rodolfo Ostilla-Mónico , David Goluskin

We propose an analytical model to estimate the interface temperature $\Theta_{\Gamma}$ and the Nusselt number $Nu$ for an evaporating two-layer Rayleigh-B\'enard configuration in statistically stationary conditions. The model is based on…

流体动力学 · 物理学 2023-03-22 Nicoló Scapin , Andreas D. Demou , Luca Brandt

In this paper we carry out a numerical investigation of forced convection heat transfer from a heated elliptical cylinder in a uniform free stream with angle of inclination $\theta^{\circ}$. Numerical simulations were carried out for $10…

流体动力学 · 物理学 2023-08-21 Raghav Singhal , Sailen Dutta , Jiten C. Kalita

We revisit the optimal heat transport problem for Rayleigh-B\'enard convection in which a rigorous upper bound on the Nusselt number, $Nu$, is sought as a function of the Rayleigh number $Ra$. Concentrating on the 2-dimensional problem with…

流体动力学 · 物理学 2019-06-11 Zijing Ding , Rich R Kerswell