Molecular Dynamics Study on Influence of Wetting Contact State of Microchannel Nanostructures on Sliding Drag Reduction
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摘要: 针对流体在纳米通道的微尺度流效应,采用分子动力学方法以SPC/E水分子为纳米流动介质,分别计算模拟其在不同纳米结构的微通道内的润湿接触状态和Poiseuille流动行为,研究通过微通道壁面微纳结构改变而导致的不同润湿状态起到的滑移减阻效应。结果表明:纳米结构的周期性增加,会使得壁面的亲疏水性呈现马太效应,从而达到润湿性控制的目的。增加壁面亲水性,会使主流区密度、流体速度和滑移速度都减小;在增加壁面疏水性的过程中,主流区的密度增加;并且流体的状态由Wenzel向Cassie转变,流体速度和滑移长度先减小后增加;而亲疏水转变过程中,随着表征接触角的增加,当动静态流体与壁面的接触状态相同时,流体流动的壁面摩擦因数值呈现单调递减趋势;而当动静态流体与壁面的接触状态存在差异时,摩擦因数会出现轻度无规律波动。Abstract: Aiming at the nanofluidics effect of fluid in nano-channels, the wetting contact state and Poiseuille flow behavior of SPC/E water molecules are calculated and simulated respectively with the molecular dynamics methodin micro-channels with different nano-structures to study the sliding drag reduction effect of different wetting states caused by the micro-nano structure change of the microchannel wall surface. The results show that the periodicity of nano-structures increases, which makes the wettability of the wall surface show Matthew effect, thus achieving the purpose of wettability control. Increasing the hydrophilicity of the wall will reduce the density of the main flow region, fluid velocity and slip velocity. In the process of increasing the hydrophobicity of the wall surface, the density of the main flow region increases. The state of the fluid changes from Wenzel to Cassie, and the fluid velocity and slip length decrease first and then increase. In the process of wettability transition, with the increase of the characteristic contact angle, the wall friction coefficient of fluid flow shows a monotonic decreasing trend when the contact states of dynamic and static fluids on the wall are the same. However, when the contact state of static and dynamic fluids on the wall is different, the friction coefficient will fluctuate slightly and irregularly.
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Key words:
- microchannel /
- wettability /
- velocity slip /
- slip length /
- friction coefficient
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表 1 各原子之间的LJ势能参数
参数 数值 εO-O /(kcal·mol−1) 0.155 35 εCu-O(q)/(kcal·mol−1) 0.788 41 εCu-O(s)/(kcal·mol−1) 0.192 37 σO-O /Å 3.166 σCu-Cu/Å 2.34 σCu-O/Å 2.753 表 2 不同织构周期的壁面参数和表征接触角
T θ0 = 78.9° θ0 = 102° r θW/(°) r或f θW/(°) 2 1.112 77.6 r = 1.112 103.4 4 1.224 76.4 r = 1.224 104.7 6 1.337 75.1 f = 0.122 151.3 8 1.449 73.8 f = 0.113 155.5 10 1.561 72.5 f = 0.08 159.5 -
[1] JOSEPH P, TABELING P. Direct measurement of the apparent slip length[J]. Physical Review E, 2005, 71(3): 035303 doi: 10.1103/PhysRevE.71.035303 [2] BOUZIGUES C I, TABELING P. Particle image analysis: a new tool for the exploration of nanofluidic flows[J]. 1st French-Chinese Symposium on Microfluidics. Beijing, 2007: 45-46 [3] JING D L, BHUSHAN B. The coupling of surface charge and boundary slip at the solid-liquid interface and their combined effect on fluid drag: a review[J]. Journal of Colloid and Interface Science, 2015, 454: 152-179 doi: 10.1016/j.jcis.2015.05.015 [4] GUO L, CHEN S Y, ROBBINS M O. Slip boundary conditions over curved surfaces[J]. Physical Review E, 2016, 93(1): 013105 doi: 10.1103/PhysRevE.93.013105 [5] PIT R, HERVET H, LEGER L. Direct experimental evidence of slip in hexadecane: solid interfaces[J]. Physical Review Letters, 2000, 85(5): 980-983 doi: 10.1103/PhysRevLett.85.980 [6] LAUGA E, BRENNER M P, STONE H A. Microfluidics: the no-slip boundary condition[M]//Tropea C, Yarin A L, Foss J F. Springer Handbook of Experimental Fluid Mechanics. Berlin: Springer, 2007: 1219-1240. [7] NAGAYAMA G, CHENG P. Effects of interface wettability on microscale flow by molecular dynamics simulation[J]. International Journal of Heat and Mass Transfer, 2004, 47(3): 501-513 doi: 10.1016/j.ijheatmasstransfer.2003.07.013 [8] SENDNER C, HORINEK D, BOCQUET L, et al. Interfacial water at hydrophobic and hydrophilic surfaces: slip, viscosity, and diffusion[J]. Langmuir, 2009, 25(18): 10768-10781 doi: 10.1021/la901314b [9] PARK H, PARK H, KIM J. A numerical study of the effects of superhydrophobic surface on skin-friction drag in turbulent channel flow[J]. Physics of Fluids, 2013, 25(11): 110815 doi: 10.1063/1.4819144 [10] TEO C J, KHOO B C. Flow past superhydrophobic surfaces containing longitudinal grooves: effects of interface curvature[J]. Microfluidics and Nanofluidics, 2010, 9(2-3): 499-511 doi: 10.1007/s10404-010-0566-7 [11] LEE C, CHOI C H, KIM C J. Superhydrophobic drag reduction in laminar flows: a critical review[J]. Experiments in Fluids, 2016, 57(12): 176 doi: 10.1007/s00348-016-2264-z [12] DAS A, BHAUMIK S K. Fabrication of cylindrical superhydrophobic microchannels by replicating lotus leaf structures on internal walls[J]. Journal of Micromechanics and Microengineering, 2018, 28(4): 045011 doi: 10.1088/1361-6439/aaab36 [13] JEFFS K, MAYNES D, WEBB B W. Prediction of turbulent channel flow with superhydrophobic walls consisting of micro-ribs and cavities oriented parallel to the flow direction[J]. International Journal of Heat and Mass Transfer, 2010, 53(4): 786-796 doi: 10.1016/j.ijheatmasstransfer.2009.09.033 [14] HU H B, WEN J, BAO L Y, et al. Significant and stable drag reduction with air rings confined by alternated superhydrophobic and hydrophilic strips[J]. Science Advances, 2017, 3(9): e1603288 doi: 10.1126/sciadv.1603288 [15] MARTELL M B, ROTHSTEIN J P, PEROT J B. An analysis of superhydrophobic turbulent drag reduction mechanisms using direct numerical simulation[J]. Physics of Fluids, 2010, 22(6): 065102 doi: 10.1063/1.3432514 [16] MARTELL M B, PEROT J B, ROTHSTEIN J P. Direct numerical simulations of turbulent flows over superhydrophobic surfaces[J]. Journal of Fluid Mechanics, 2009, 620: 31-41 doi: 10.1017/S0022112008004916 [17] LUM K, CHANDLER D, WEEKS J D. Hydrophobicity at small and large length scales[J]. The Journal of Physical Chemistry B, 1999, 103(22): 4570-4577 doi: 10.1021/jp984327m [18] OU J, PEROT B, ROTHSTEIN J P. Laminar drag reduction in microchannels using ultrahydrophobic surfaces[J]. Physics of Fluids, 2004, 16(12): 4635-4643 doi: 10.1063/1.1812011 [19] DILIP D, VIJAY KUMAR S, BOBJI M S, et al. Sustained drag reduction and thermo-hydraulic performance enhancement in textured hydrophobic microchannels[J]. International Journal of Heat and Mass Transfer, 2018, 119: 551-563 doi: 10.1016/j.ijheatmasstransfer.2017.11.093 [20] ALJALLIS E, SARSHAR M A, DATLA R, et al. Experimental study of skin friction drag reduction on superhydrophobic flat plates in high Reynolds number boundary layer flow[J]. Physics of Fluids, 2013, 25(2): 025103 doi: 10.1063/1.4791602 [21] JAGDISH B N, BRANDON T Z X, KWEE T J, et al. Experimental study of air layer sustainability for frictional drag reduction[J]. Journal of Ship Research, 2014, 58(1): 30-42 doi: 10.5957/JOSR.58.1.130045 [22] GAO P, FENG J J. Enhanced slip on a patterned substrate due to depinning of contact line[J]. Physics of Fluids, 2009, 21(10): 102102 doi: 10.1063/1.3254253 [23] REN W W, CHEN Y, MU X J, et al. Heat transfer enhancement and drag reduction in transverse groove-bounded microchannels with offset[J]. International Journal of Thermal Sciences, 2018, 130: 240-255 doi: 10.1016/j.ijthermalsci.2018.04.025 [24] 李春曦, 张硕, 叶学民. 界面曲率对超疏水微通道减阻的影响[J]. 系统仿真学报, 2018, 30(6): 2405-2413LI C X, ZHANG S, YE X M. Effect of interfacial curvature on drag reduction of superhydrophobic microchannels[J]. Journal of System Simulation, 2018, 30(6): 2405-2413 (in Chinese) [25] 成中军, 杜明, 来华, 等. 氨气腐蚀法制备黏附性能可控的超疏水铜表面[J]. 高等学校化学学报, 2013, 34(3): 606-609 doi: 10.7503/cjcu20120764CHENG Z J, DU M, LAI H, et al. Super-hydrophobic copper surface with controlled adhesion prepared via ammonia corrosion[J]. Chemical Journal of Chinese Uuiversities, 2013, 34(3): 606-609 (in Chinese) doi: 10.7503/cjcu20120764 [26] BERENDSEN H J C, GRIGERA J R, STRAATSMA T P. The missing term in effective pair potentials[J]. The Journal of Physical Chemistry, 1987, 91(24): 6296-6271 [27] NOSÉ S. A molecular dynamics method for simulations in the canonical ensemble[J]. Molecular Physics, 1984, 52(2): 255-268 doi: 10.1080/00268978400101201 [28] WENZEL R N. Resistance of solid surfaces to wetting by water[J]. Industrial and Engineering Chemistry, 1936, 28(8): 988-994 doi: 10.1021/ie50320a024 [29] CASSIE A B D, BAXTER S. Wettability of porous surfaces[J]. Transactions of the Faraday Society, 1944, 40: 546-551 doi: 10.1039/tf9444000546