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We perform linear and nonlinear stability analysis for thermal convection in a fluid overlying a saturated porous medium. We use a coupled system, with the Navier-Stokes equations and Darcy's equation governing the free-flow and the porous…

流体动力学 · 物理学 2019-07-08 M. McCurdy , M. N. J. Moore , X. Wang

We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer. Convection is driven by a vertical, destabilising temperature difference applied across the…

流体动力学 · 物理学 2021-07-07 Thomas Le Reun , Duncan R. Hewitt

Convection-driven porous media flows are common in industrial processes and in nature. The multiscale and multiphase character of these systems and the inherent non-linear flow dynamics make convection in porous media a complex phenomenon.…

流体动力学 · 物理学 2024-08-02 Marco De Paoli

This work presents a unified numerical framework for simulating incompressible flows within the coupled fluid-porous-medium system and involving heat and solute transport and phase-changing process. A complete set of governing equations is…

流体动力学 · 物理学 2026-01-28 Rongfu Guo , Yantao Yang

Gravity-driven convection of fluid at parameters near its thermodynamic critical point inside a porous layer heated from below (Rayleigh-Darcy convection) is studied. The fluid having the temperature slightly above the critical one is…

流体动力学 · 物理学 2010-01-26 E. B. Soboleva

We investigate how models of fluid properties and boundary conditions influence predictions of convective mixing in confined porous media, with relevance to subsurface carbon dioxide storage. Using high-resolution simulations at high…

流体动力学 · 物理学 2026-04-28 Marco De Paoli , Sergio Pirozzoli

We perform three-dimensional direct numerical simulations of surface-driven convection near the temperature of maximum density $\tilde T_{md}$. A dynamic surface boundary condition couples heat flux through the surface to the induced…

大气与海洋物理 · 物理学 2024-05-08 Jason Olsthoorn

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

We perform large-scale numerical simulations of convection in 3D porous media at Rayleigh-Darcy numbers up to $Ra=8\times10^4$. To investigate the convective mixing of carbon dioxide (CO$_2$) in geological formations, we consider a…

流体动力学 · 物理学 2025-03-27 Marco De Paoli , Francesco Zonta , Lea Enzenberger , Eliza Coliban , Sergio Pirozzoli

In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressible fluid behavior, which is coupled with a…

数值分析 · 数学 2024-02-27 S. M. Mallikarjunaiah , Dambaru Bhatta

The conceptual landscape of convection has two simple gateways: optimal function and random form. Optimal convection adjusts toward a univariate ideal called neutrality. Convection form involves elements (parcels, bubbles, drafts) whose…

适应与自组织系统 · 物理学 2025-04-02 Brian E. Mapes

Convective mixing in porous media is crucial in both geophysical and industrial fields, spanning applications ranging from carbon dioxide sequestration to contaminant transport in groundwater. Key processes are affected by convective heat…

流体动力学 · 物理学 2025-12-29 Marco De Paoli , Sergio Pirozzoli , Lou Kondic

A bidisperse porous medium is one with two porosity scales. There are the usual pores known as macro pores but also cracks or fissures in the skeleton which give rise to micro pores. In this article we develop and analyse a model for…

流体动力学 · 物理学 2021-10-26 Patrick Dondl , Brian Straughan

The multiscale flow structure in the solar convection zone - the coexistence of such features as the granules, mesogranules, supergranules and giant cells - has not yet been properly understood. Here, the possible role of one physical…

太阳与恒星天体物理 · 物理学 2018-02-15 O. V. Shcheritsa , A. V. Getling , O. S. Mazhorova

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes…

偏微分方程分析 · 数学 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu

Fluids subject to both thermal and compositional variations can undergo doubly diffusive convection when these properties both affect the fluid density and diffuse at different rates. In natural doubly diffusive convection, the gradients of…

流体动力学 · 物理学 2026-02-10 J. Tumelty , C. Beaume , A. M. Rucklidge

Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number Pr=1.07. Depending on the angle of inclination and the imposed temperature difference, the flow…

斑图形成与孤子 · 物理学 2020-08-26 Florian Reetz , Tobias M. Schneider

This paper investigates density driven flow in porous media, focusing on the roles of viscosity contrast, density contrast, and linear adsorption. In this setup, the fluid on top is heavier and more viscous than the fluid below. Under the…

偏微分方程分析 · 数学 2026-01-27 Sahil Kundu , Amiya K. Pani , Manoranjan Mishra

In this paper we study the interaction between natural convection and heat explosion in porous media. The model consists of the heat equation with a nonlinear source term describing heat production due to an exothermic chemical reaction…

动力系统 · 数学 2013-09-12 Karam Allali , Fouad Bikany , Ahmed Taik , Vitaly Volpert

We conducted a series of pore-scale numerical simulations on convective flow in porous media, with a fixed Schmidt number of 400 and a wide range of Rayleigh numbers. The porous media are modeled using regularly arranged square obstacles in…

流体动力学 · 物理学 2024-10-01 Junyi Li , Yantao Yang , Chao Sun
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