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DOI | 10.1029/2020WR028111 |
A Fourier series solution for transient three‐dimensional thermohaline convection in porous enclosures | |
Sara Tabrizi Nejad As; Marwan Fahs; Behzad Ataie‐; Ashtiani; Craig T. Simmons; di Chiara Roupert Raphaë; l; Anis Younes | |
2020-10-19 | |
发表期刊 | Water Resources Research |
出版年 | 2020 |
英文摘要 | Thermohaline convection (THC) in porous media is frequently investigated using the problem of porous enclosure. Most of the existing modeling‐based studies are limited to 2D simulations, because 2D assumption is widely used to deal with computational requirement of 3D numerical solutions. Analytical solutions serve as an alternative to deal with computational requirement of numerical solutions. Existing analytical solutions of THC are mostly limited to 2D and also under steady‐state regime. In this work, we develop a meshless 3D semi‐analytical solution for the problem of THC in a porous box under crossed thermal and solute gradients, for both steady‐state and transient regimes. The semi‐analytical solution is developed using the Fourier series (FS) method applied to the vector potential form of the governing equations. The extension to transient solutions represents an important technical feature of this work, as the applications of the FS method to density‐driven problems have been limited to steady‐state conditions. The FS solution is validated against a finite element solution obtained using COMSOL Multiphysics. Numerical experiments show the worthiness of the developed FS solution as a benchmark because it clearly allows making distinction between different numerical techniques. The effects of governing parameters on three‐dimensional THC have not been investigated previously. We perform a detailed parameter sensitivity analysis to address this gap. A vortex convective flow is observed and the orientation and intensity of the flow is sensitive to the gravity number. The increase in the temperature gradient reduces the salinity flux. |
领域 | 资源环境 |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/300235 |
专题 | 资源环境科学 |
推荐引用方式 GB/T 7714 | Sara Tabrizi Nejad As,Marwan Fahs,Behzad Ataie‐,等. A Fourier series solution for transient three‐dimensional thermohaline convection in porous enclosures[J]. Water Resources Research,2020. |
APA | Sara Tabrizi Nejad As.,Marwan Fahs.,Behzad Ataie‐.,Ashtiani.,Craig T. Simmons.,...&Anis Younes.(2020).A Fourier series solution for transient three‐dimensional thermohaline convection in porous enclosures.Water Resources Research. |
MLA | Sara Tabrizi Nejad As,et al."A Fourier series solution for transient three‐dimensional thermohaline convection in porous enclosures".Water Resources Research (2020). |
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