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With the rapid development of low-dimensional materials, the opportunity that promotes the development of micro/nano fluid devices, a new low-dimensional material black phosphorus (BP) has attracted wide attention due to its excellent properties, and has been applied to many areas. In this paper, the influences of driving force, water-BP anisotropy, channels’ width and the number of black phosphorus layers on the flow characteristics of water molecules in the nanochannels are studied by molecular dynamics based on the Poiseuille flow model. The results show that the boundary slip velocity increases with the driving force increasing. The anisotropy will also affect the flow characteristics of water molecules in the nanochannel under the pressure driving the Poiseuille flow. Specifically, the boundary slip velocity decreases with the chirality angle increasing, and the viscosity coefficient of water molecules is still not affected by the anisotropy. The natural rippled structure of the BP surface leads to the coarse potential surface, and further results in the anisotropic boundary slip and interfacial friction between water and BP sheets. With the driving acceleration kept constant, the influences of the width of nanochannels and the number of black phosphorus layers on the boundary slip velocity and viscosity coefficient of water molecules are investigated. The results indicate that the slip velocity of water molecules in the nanochannels decreases with the width of the nanochannels increasing. The velocity profile of water molecules in the bilayer model is slightly different from that in the monolayer model. With the number of BP layers increasing, the energy of BP-water solid-liquid interface increases while the anisotropic interfacial property remains unchanged. The results will provide a theoretical basis for the study of the characteristics of the fluid flowing in the black phosphorus nanochannels and the design of micro/nano fluid devices based on black phosphorus materials.
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Keywords:
- black phosphorus /
- anisotropy /
- solid-liquid interface /
- molecular dynamics
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图 1 (a)单层黑磷模型图, 其中手性角度θ指黑磷褶皱方向与水分子流动方向夹角; (b)黑磷纳米通道内水分子流动的Poiseuille流模型图
Figure 1. (a) Monolayer black phosphorus models, chiral angle θ is the intersection angle between water flow direction adjacent the top plate and the ripple direction of BP monolayer; (b) poiseuille flow model of water molecules in black phosphorus nanochannels.
图 2 模型手性角度为0°时水分子的速度分布
Figure 2. The velocity distribution of water molecules when the chiral angle of the model is 0°.
图 3 黑磷纳米通道内水分子沿通道宽度方向的数密度分布图
Figure 3. Number density distribution of water molecules along the channel width in the black phosphorus nanochannels.
图 4 速度分布图及势能云图 (a) 模型手性角度为37.4°时水分子的速度分布; (b) 模型手性角度为66.6°时水分子的速度分布; (c) 模型手性角度为90°时水分子的速度分布; (d)模型手性角度为90°时的势能分布云图
Figure 4. Velocity distribution diagram and potential energy cloud diagram: (a) The velocity distribution of water molecules when the chiral angle of the model is 37.4°; (b) the velocity distribution of water molecules when the chiral angle of the model is 66.6°; (c) the velocity distribution of water molecules when the chiral angle of the model is 90°; (d) potential energy cloud diagram when the chiral angle of the model is 90°.
图 5 不同手性的模拟系统在不同加速度条件下的水分子黏度系数方差分布图
Figure 5. Variance distribution of water molecular viscosity coefficient of a simulation system with different chirality under different acceleration conditions.
图 6 不同纳米通道宽度内水分子沿通道宽度方向速度分布图
Figure 6. Velocity distribution of water molecules along the width of different nanochannel widths.
图 7 不同层数模型对应的速度分布图
Figure 7. Velocity distributions corresponding to different layer models.
表 1 L-J势能函数的参数值
Table 1. Parameter values of L-J potential function
Atoms ε/kcal·mol–1 σ/Å P-P 0.36760 3.43800 O-O 0.16275 3.16435 P-O 0.24460 3.30120 
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表 2 不同手性情况中, 不同加速度对应的水分子边界滑移速度VS统计表
Table 2. Statistical table of water molecule boundary slip velocity VS corresponding to different accelerations in different chiral conditions.
gx/m·s–1 Angle/(°) 0 37.4 66.6 90 1.0 × 1012 6.3305 5.7990 4.7818 3.5462 1.5 × 1012 8.9847 8.7979 6.8867 5.8156 2.0 × 1012 13.4912 12.9694 10.6995 7.5839
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表 3 不同手性的模拟系统在不同加速度条件下的水分子黏度系数μ分布表
Table 3. Distribution of water molecular viscosity coefficient μ of simulation systems with different chirality under different acceleration conditions.
gx/m·s–1 Angle/(°) 0 37.4 66.6 90 1.0 × 1012 0.1182 0.1209 0.1116 0.1212 1.5 × 1012 0.1193 0.1173 0.1123 0.1168 2.0 × 1012 0.1171 0.1203 0.1201 0.1183
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表 4 不同纳米通道宽度内水分子的边界滑移表
Table 4. Boundary slip of water molecules at different nanochannels widths.
H/nm 3 4 5 6 VS/m·s–1 4.0267 4.3547 5.8005 7.5839
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表 5 不同黑磷层数纳米通道模型中流固界面参数对比
Table 5. Comparison of the interfacial parameters for the models with different BP layers.
VS/m·s–1 μ/mPa·s Ew-BP/kcal·mol–1·nm–2 Monolayer Bilayer Monolayer Bilayer Monolayer Bilayer 0° 13.4912 12.9256 0.1171 0.1216 –13.7663 –13.9138 37.4° 12.9694 12.4460 0.1203 0.1204 –13.7797 –13.9285
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[1] Keim N C, Arratia P E 2014 Phys. Rev. Lett. 112 028302
Google Scholar
[2] Naumis G G, Barraza-Lopez S, Oliva-Leyva M, Terrones H 2017 Rep. Prog. Phys. 80 096501
Google Scholar
[3] Paul J T, Singh A K, Dong Z, Zhuang H, Revard B C, Rijal B, Ashton M, Linscheid A, Blonsky M, Gluhovic D, Guo J, Hennig R G 2017 J. Phys.: Condens. Matter 29 473001
Google Scholar
[4] 胡小唐, 李源, 饶志军, 胡春光, 傅星 2004 纳米技术与精密工程 2 1
Hu X T, Li Y, Rao Z J, Hu C G, Fu X 2004 Nanotechnology and Precision Engineering 2 1
[5] 周兆英, 杨兴 2003 仪表技术与传感器 2 1
Google Scholar
Zhou Z Y, Yang X 2003 Instrument Technique and Sensor 2 1
Google Scholar
[6] 严宇才, 张端 2011 电子工业专用设备 40 1
Google Scholar
Yan Y C, Zhang R 2011 Equipment for Electronic Products Manufacturing 40 1
Google Scholar
[7] Wu L, Deng D, Jin J, Lu X B, Chen J P 2012 Biosens. Bioelectron. 35 193
Google Scholar
[8] Khan M, Misra S K, Wang Z, Daza E, Schwartz-Duval A, Kus M J, Pan D 2017 Anal. Chem. 89 2107
Google Scholar
[9] Narang J, Malhotra N, Singhal C, Mathur A, Chakraborty D, Anil A, Ingle A, Pundir C S 2017 Biosens. Bioelectron. 88 249
Google Scholar
[10] Connacher W, Zhang N, An H, Mei J Y, Zhang S, Gopesh T, Friend J 2018 Lab Chip 10 1039
[11] Soong C Y, Yen T H, Tzeng P Y 2007 Phys. Rev. E 76 036303
Google Scholar
[12] Sofos F D, Karakasidis T E, Antonios L 2009 Phys. Rev. E 79 026305
Google Scholar
[13] Turlo V, Politano O, Baras F 2015 Acta Mater. 99 363
Google Scholar
[14] Balasubramanian S, Mundy C J 1999 Bull. Mater. Sci. 22 873
Google Scholar
[15] Wang Z, Jia H, Zheng X, Yang R, Wang Z F, Ye G J, Chen X H, Shan J, Feng, P X L 2015 Nanoscale 7 877
Google Scholar
[16] Li L, Guo J Y, Tran V, Tran V, Fei R, Zhang Y 2015 Nat. Nanotechnol. 10 608
Google Scholar
[17] Wang X M, Jones A M, Seyler K L, Tran V, Jia Y C, Zhao H, Wang H, Yang L, Xu X D, Xia F N 2015 Nat. Nanotechnol. 10 517
Google Scholar
[18] 袁振洲, 刘丹敏, 田楠, 张国庆, 张永哲 2016 化学学报 74 488
Yuan Z Z, Liu D M, Tian N, Zhang G Q, Zhang Y Z 2016 Acta Chimica Sinica 74 488
[19] Chen H, Huang P, Guo D, Xie G X 2016 J. Phys. Chem. C 120 29491
Google Scholar
[20] Liu H, Neal A T, Zhu Z, Luo Z, Xu X F, Tomanek D, Ye P D 2014 ACS Nano 8 4033
Google Scholar
[21] Xia F, Wang H, Jia Y 2014 Nat. Commun. 5 4458
Google Scholar
[22] Fernández-Escamilla H N, Quijano-Briones J J, Tlahuice-Flores A 2016 Phys. Chem. Chem. Phys. 18 12414
Google Scholar
[23] Cai K, Wan J, Wei N, Qin Q H 2016 Nanotechnology 27 275701
Google Scholar
[24] Horn H W, Swope W C, Pitera J W, Madura J D, Dick T J, Hura G L, Head-Gordon T 2004 J. Chem. Phys. 120 9665
Google Scholar
[25] Ryckaert J P, Ciccotti G, Berendsen H J C 1977 J. Comput. Phys. 23 327
Google Scholar
[26] Cai K, Liu L, Jiao S, Qin Q H 2017 Mater. Des. 121 406
Google Scholar
[27] Zhang H W, Ye H F, Zheng Y G, Zhang Z 2011 Microfluid. Nanofluid. 10 403
Google Scholar
[28] Thompson P A, Troian S M 1997 Nature 63 360
[29] Cao B Y, Chen M, Guo Z Y 2006 Phys. Rev. E 74 066311
Google Scholar
[30] Zhang H W, Zhang Z Q, Zheng Y G, Wang L, Wang J B 2010 Phys. Rev. E 81 066303
Google Scholar
[31] Zhang Z Q, Liu H L, Liu Z, Zhang Z, Cheng G G, Wang X D, Ding J N 2019 Appl. Surf. Sci. 475 857
Google Scholar
[32] Koplik J, Banavar J R, Willemsen J F 1988 Phys. Rev. Lett. 60 1282
Google Scholar
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