Clarifying the Vital Role of Fluid Type in Diffusion through Complex Porous Media under Apparently Weak but Essentially Powerful Force of Gravity by Simulations Performed Using Image Processing Technique and D3Q27 Model of Lattice Boltzmann Method

IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE
Hamid Zahedi, Mohammad Vakili
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Abstract

In this study, the vital role of fluid type in diffusion through a complex soil-like three-dimensional porous medium under gravity force was investigated by simulations performed using D3Q27 model of Lattice Boltzmann Method (LBM), with Double Relaxation Time (DRT) procedure as well as second-order discretization version of LBM. The elaborate porous medium was constructed using Image Processing technique by a detailed program written in MATLAB language. The hydrogen gas and water vapor were two fluids utilized in this project and because of small velocity of fluid, the Darcy law (with inclusion of gravity) was used extensively. Also, the satisfaction of continuity equation in different cross sections of porous medium was examined for both fluids; velocity and pressure contours were utilized also in this regard. The critical point of value of gravity acceleration g in LBM scale for different fluids was described and gLBM was calculated for 13 fluids to emphasize the vital role of fluid type in LBM simulations. For being confident regarding the role of gravity, the value of gravity acceleration was set to zero intentionally (|g| =|gLBM|= 0) in some other simulations. Because of complex nature of porous medium, the inclusion of Knudsen diffusion phenomenon in calculations of pressure change was necessary. After coupling of Darcy equation with Knudsen diffusion according to valid scientific resources, the calculation of permeability and mean pore diameter of porous medium was accomplished through special three-dimensional fitting by MATLAB. The interesting concept of Specific Surface Area (SSA) was introduced, too.

Graphical Abstract

Abstract Image

利用图像处理技术和晶格玻尔兹曼法 D3Q27 模型进行模拟,阐明流体类型在表面微弱但本质强大的重力作用下通过复杂多孔介质进行扩散时的重要作用
在本研究中,通过使用晶格玻尔兹曼方法(LBM)的 D3Q27 模型、双松弛时间(DRT)程序以及 LBM 的二阶离散化版本进行模拟,研究了流体类型在重力作用下通过复杂土壤状三维多孔介质进行扩散时的重要作用。使用 MATLAB 语言编写的详细程序,利用图像处理技术构建了复杂的多孔介质。氢气和水蒸气是本项目中使用的两种流体,由于流体速度较小,因此广泛使用了达西定律(包含重力)。此外,还研究了这两种流体在多孔介质不同截面上的连续性方程的满足情况;在这方面还利用了速度和压力等值线。对不同流体的 LBM 重力加速度 g 值临界点进行了描述,并计算了 13 种流体的 gLBM,以强调流体类型在 LBM 模拟中的重要作用。为了确信重力的作用,在其他一些模拟中有意将重力加速度值设为零(|g| =|gLBM|= 0)。由于多孔介质的复杂性,有必要在压力变化计算中加入克努森扩散现象。根据有效的科学资源,将达西方程与努森扩散耦合后,通过 MATLAB 的特殊三维拟合,完成了多孔介质渗透率和平均孔径的计算。此外,还引入了比表面积(SSA)这一有趣的概念。
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来源期刊
Microgravity Science and Technology
Microgravity Science and Technology 工程技术-工程:宇航
CiteScore
3.50
自引率
44.40%
发文量
96
期刊介绍: Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity. Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges). Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are: − materials science − fluid mechanics − process engineering − physics − chemistry − heat and mass transfer − gravitational biology − radiation biology − exobiology and astrobiology − human physiology
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