Abstract
Nanopores are prevalent within various clay morphologies, and water flow in clay nanopores is significant for various engineering applications. In this study, we performed non-equilibrium molecular dynamics (NEMD) simulations to reveal the molecular force mechanisms of water flow in clay nanopores. The water dynamic viscosity, slip length, and average flow velocity were obtained to verify the NEMD models. Since the water confined in the nanopores maintained a dynamic mechanical equilibrium state, each water lamina can be regarded as a simply supported beam. The applied driving force, the force from clay crystal layers, the force from compensating sodium ions, and the force from other water laminae were further calculated to investigate the force mechanisms. The van der Waals barrier above the surface and hydraulic gradient lead to distribution differences in water oxygen atoms, which contribute to a net van der Waals resistance component of the force from clay crystal layers. Meanwhile, the water molecules tend to rotate to generate the electrostatic resistance component of the force from clay crystal layers and balance the increasing hydraulic gradient. Due to the velocity difference, the water molecules in the slower lamina have a higher tendency to lag and generate a net electrostatic resistance force as well as a net van der Waals driving force on the water molecules in the faster lamina, which together make up the viscous force.
摘要
目的
连续介质方程在描述流体在黏土纳米孔内流动时具有较大偏差。本文旨在通过非**衡动力学模拟揭示纳米尺度 下黏土边界效应以及流体内部粘滞作用的力学机制,为更好地控制黏土纳米孔内流动提供新的分析思路。
创新点
1. 通过非**衡动力学模拟,计算了黏土纳米孔内流动过程中黏土与阳离子对孔间受限水的作用力大小,并揭示 其空间分布规律;2. 建立了水分子取向分布、空间形态与其所受作用力间的微细观联系,成功揭示黏土边界效 应和流体粘滞作用的力学机制。
方法
1. 通过非**衡动力学方法,模拟黏土纳米孔内的流动过程(图1和2),并通过流速、粘滞系数和渗透系数的 计算验证模型的**确性(表1);2. 通过对孔间受限水的受力分析,计算各项分子间作用力,得到作用力 大小和空间分布(图3和4);3. 计算水分子**面分布和取向角,建立与所受作用力间的微细观联系,揭 示黏土边界效应和流体粘滞作用的力学机制(图5~7)。
结论
1. 黏土和阳离子对孔内受限水的合力随时间波动满足高斯分布,且其时均值与施加的驱动力基本相等,以维持 流动过程中纯水的动态力学**衡。2. 黏土对孔内水分子的作用力类似于简支梁上的支座反力,集中作用在 Stern层的水分子上;其中,范德华作用项与水氧原子**面分布相关;由于范德华排斥势垒与定向流动, 所以水分子更倾向于在阻力区滞留,而随着水力梯度的增大,阻力区与动力区分布概率差增大,进而产生 更大的范德华阻力;库仑作用项则与水分子取向矢量的转动相关;水力梯度的增大诱导水分子取向转动, 进而导致承受库仑阻力的水分子数量增多。3. 由于相邻水层间存在速度差,所以慢层中的水分子有更高概 率停留在中心水分子的上游,进而对中心水分子产生净库仑阻力和净范德华动力,而随着速度梯度的增大, 分布概率差异进一步扩大,进而产生了更**的粘滞阻力。
References
Ahmed HR, Abduljauwad SN, 2017. Nano-level constitutive model for expansive clays. Géotechnique, 67(3):187–207. https://doi.org/10.1680/jgeot.15.P.140
Alexiadis A, Kassinos S, 2008. The density of water in carbon nanotubes. Chemical Engineering Science, 63(8):2047–2056. https://doi.org/10.1016/j.ces.2007.12.035
Allen MP, Tildesley DJ, 2017. Computer Simulation of Liquids. 2nd Edition. Oxford University Press, Oxford, UK. https://doi.org/10.1093/oso/9780198803195.001.0001
Berendsen HJC, Postma JPM, van Gunsteren WF, et al., 1981. Interaction models for water in relation to protein hydration. In: Pullman B (Ed.), Intermolecular Forces. Springer, Dordrecht, the Netherlands, p.331–342. https://doi.org/10.1007/978-94-015-7658-1_21
Boţan A, Rotenberg B, Marry V, et al., 2011. Hydrodynamics in clay nanopores. The Journal of Physical Chemistry C, 115(32):16109–16115. https://doi.org/10.1021/jp204772c
Cao GX, 2017. Computational simulations of pressure-driven nanofluidic behavior. SCIENTIA SINICA Physica, Mechanica & Astronomica, 47(7):070011. https://doi.org/10.1360/sspma2016-00400
Chen SJ, Chen WQ, Ouyang YB, et al., 2019. Transitions between nanomechanical and continuum mechanical contacts: new insights from liquid structure. Nanoscale, 11(47): 22954–22963. https://doi.org/10.1039/c9nr07180f
Cygan RT, Liang JJ, Kalinichev AG, 2004. Molecular models of hydroxide, oxyhydroxide, and clay phases and the development of a general force field. The Journal of Physical Chemistry B, 108(4):1255–1266. https://doi.org/10.1021/jp0363287
Daivis PJ, Todd BD, 2018. Challenges in nanofluidics—beyond Navier–Stokes at the molecular scale. Processes, 6(9): 144. https://doi.org/10.3390/pr6090144
Hanasaki I, Nakatani A, 2006a. Flow structure of water in carbon nantubes: Poiseuille type or plug-like? Journal of Chemical Physics, 124(14):144708. https://doi.org/10.1063/L2187971
Hanasaki I, Nakatani A, 2006b. Fluidized piston model for molecular dynamics simulations of hydrodynamic flow. Modelling and Simulation in Materials Science and Engineering, 14(5):S9–S20. https://doi.org/10.1088/0965-0393/14/5/s02
Hansen JS, Todd BD, Daivis PJ, 2011. Prediction of fluid velocity slip at solid surfaces. Physical Review E, 84(1): 016313. https://doi.org/10.1103/PhysRevE.84.016313
Hess B, 2002. Determining the shear viscosity of model liquids from molecular dynamics simulations. The Journal of Chemical Physics, 116(1):209–217. https://doi.org/10.1063/L1421362
Hoover WG, Hoover CG, 2005. Nonequilibrium molecular dynamics. Condensed Matter Physics, 8(2):247–260.
Kannam SK, Todd BD, Hansen JS, et al., 2013. How fast does water flow in carbon nanotubes? The Journal of Chemical Physics, 138(9):094701. https://doi.org/10.1063/1.4793396
Kondratyuk N, 2019. Contributions of force field interaction forms to Green-Kubo viscosity integral in n-alkane case. The Journal of Chemical Physics, 151(7):074502. https://doi.org/10.1063/1.5103265
Kumar R, Schmidt JR, Skinner JL, 2007. Hydrogen bonding definitions and dynamics in liquid water. The Journal of Chemical Physics, 126(20):204107. https://doi.org/10.1063/1.2742385
Li J, Liao D, Yip S, 1998. Coupling continuum to molecular-dynamics simulation: reflecting particle method and the field estimator. Physical Review E, 57(6):7259–7267. https://doi.org/10.1103/PhysRevE.57.7259
Li YC, Chen GN, Chen YM, et al., 2017. Design charts for contaminant transport through slurry trench cutoff walls. Journal of Environmental Engineering, 143(9):06017005. https://doi.org/10.1061/(asce)ee.1943-7870.0001253
Liu B, Qi C, Zhao XB, et al., 2018. Nanoscale two-phase flow of methane and water in shale inorganic matrix. The Journal of Physical Chemistry C, 122(46):26671–26679. https://doi.org/10.1021/acs.jpcc.8b06780
Loewenstein W, 1954. The distribution of aluminum in the tetrahedra of silicates and aluminates. American Mineralogist, 39(1–2):92–96.
Marry V, Rotenberg B, Turq P, 2008. Structure and dynamics of water at a clay surface from molecular dynamics simulation. Physical Chemistry Chemical Physics, 10(32): 4802–4813. https://doi.org/10.1039/b807288d
Martyna GJ, Tobias DJ, Klein ML, 1994. Constant pressure molecular dynamics algorithms. The Journal of Chemical Physics, 101(5):4177–4189. https://doi.org/10.1063/1.467468
Mitchell JK, Soga K, 2005. Fundamentals of Soil Behavior. 3rd Edition. Wiley, Hoboken, USA.
Plimpton S, 1995. Fast parallel algorithms for short-range molecular dynamics. Journal of Computational Physics, 117(1): 1–19. https://doi.org/10.1006/jcph.1995.1039
Quirk JP, Aylmore LAG, 1971. Domains and quasi-crystalline regions in clay systems. Soil Science Society of America Journal, 35(4):652–654. https://doi.org/10.2136/sssaj1971.03615995003500040046x
Ramos-Alvarado B, Kumar S, Peterson GP, 2016. Hydrodynamic slip in silicon nanochannels. Physical Review E, 93(3):033117. https://doi.org/10.1103/PhysRevE.93.033117
Ryckaert JP, Ciccotti G, Berendsen HJC, 1977. Numerical integration of the Cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes. Journal of Computational Physics, 23(3):327–341. https://doi.org/10.1016/0021-9991(77)90098-5
Sam A, Hartkamp R, Kumar Kannam S, et al., 2021. Fast transport of water in carbon nanotubes: a review of current accomplishments and challenges. Molecular Simulation, 47(10–11):905–924. https://doi.org/10.1080/08927022.2020.1782401
Simonnin P, Marry V, Noetinger B, et al., 2018. Mineral- and ion-specific effects at clay–water interfaces: structure, diffusion, and hydrodynamics. The Journal of Physical Chemistry C, 122(32):18484–18492. https://doi.org/10.1021/acs.jpcc.8b04259
Skipper NT, Chang FRC, Sposito G, 1995. Monte Carlo simulation of interlayer molecular structure in swelling clay minerals. 1. Methodology. Clays and Clay Minerals, 43(3): 285–293. https://doi.org/10.1346/CCMN.1995.0430303
Smith DE, 1998. Molecular computer simulations of the swelling properties and interlayer structure of cesium montmorillonite. Langmuir, 14(20):5959–5967. https://doi.org/10.1021/la980015z
Stukowski A, 2010. Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool. Modelling and Simulation in Materials Science and Engineering, 18(1):015012. https://doi.org/10.1088/0965-0393/18/1/015012
Wang L, Dumont RS, Dickson JM, 2012. Nonequilibrium molecular dynamics simulation of water transport through carbon nanotube membranes at low pressure. Journal of Chemical Physics, 137(4):044102. https://doi.org/10.1063/1.4734484
Wasak A, Akkutlu IY, 2015. Permeability of organic-rich shale. SPE Journal, 20(6):1384–1396. https://doi.org/10.2118/170830-PA
Wei SJ, Li YC, Shen P, et al., 2023. Molecular forces of water flow in clay nanopores. The 9th International Congress on Environmental Geotechnics, p.259–268. https://doi.org/10.53243/ICEG2023-33
**ong H, Devegowda D, Huang L, 2020. Oil-water transport in clay-hosted nanopores: effects of long range electrostatic forces. AIChE Journal, 66(8):1–23. https://doi.org/10.1002/aic.16276
Yin YM, Zhao LL, 2020. Effects of salt concentrations and pore surface structure on the water flow through rock nanopores. Acta Physica Sinica, 69(5):054701 (in Chinese). https://doi.org/10.7498/aps.69.20191742
Zhan SY, Su YL, ** ZH, et al., 2020. Molecular insight into the boundary conditions of water flow in clay nanopores. Journal of Molecular Liquids, 311:113292. https://doi.org/10.1016/j.molliq.2020.113292
Zhu KQ, Xu CX, 2009. Viscous Fluid Mechanics. Higher Education Press, Bei**g, China (in Chinese).
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Nos. 51988101, 42077241, and 42277125) and the National Key Research and Development Program of China (No. 2019YFC1806002). The technical assistance from Hangjun WU (the administrator of the High-performance Computation Platform in the Center of Cryo-Electron Microscopy (CCEM), Zhejiang University) is greatly appreciated.
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Yuchao LI and Shengjie WEI designed the research. Shengjie WEI and Peng SHEN processed the corresponding data. Shengjie WEI wrote the first draft of the manuscript. Yuchao LI helped to organize the manuscript. Yuchao LI and Shengjie WEI revised and edited the final version. Yunmin CHEN and Yuchao LI acquired the financial support.
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Shengjie WEI, Yuchao LI, Peng SHEN, and Yunmin CHEN declare that they have no conflict of interest.
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Wei, S., Li, Y., Shen, P. et al. Molecular force mechanism of hydrodynamics in clay nanopores. J. Zhejiang Univ. Sci. A 24, 817–827 (2023). https://doi.org/10.1631/jzus.A2200427
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DOI: https://doi.org/10.1631/jzus.A2200427