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Flow system on a nano scale, as an effective and economic system, has been widely employed. While on a macroscopic scale, for the non-slip boundary, the velocity of the fluid at the surface is assumed to be consistent with the surface. This approximation may become invalid on a smaller length scale pertinent to the operation of microfluid devices. The interface slip effect has a significant influence on the flow because of its higher ratio of surface to volume. In this paper, the Poiseuille flow, which is composed of two infinite parallel asymmetric walls, is studied by the molecular dynamics method. The influence of wall roughness and surface wettability of channel on fluid flow in the channel are analyzed. The results show that the asymmetric upper and lower wall can lead to an asymmetric distribution of flow parameters. The change of wall roughness and wettability would affect the flow characteristics of fluid atoms near the wall. Due to the influence of wall grooves, the number density distribution near the rough wall is lower than that on the smooth wall side. As the rib height and wall wettability increase, the number density of fluid atoms in the groove increases gradually, and the change of the rib spacing does not substantially affect the number density distribution of fluid atoms near the rough wall. For different structure types of walls, the real solid-liquid boundary positions are determined by simulating the velocity field distribution in the channel under both Couette flow and Poiseuille flow, which can help us to better analyze the interface slip effect. The variation of wall roughness and wettability can affect the position of the solid-liquid interface. The change of rib height and wettability can greatly influence the velocity distribution in channel, and the position of the solid-liquid boundary as well. Conversely, the rib spacing has a less effect on the boundary position. The difference in boundary position can affect the interface slip effect. We can find the slip velocity and the slip length on one side of the rough wall to be smaller than those on the smooth wall side, and as the rib height and wall wettability increase, the slip velocity and the slip length significantly decrease near the rough wall side. The effect of rib spacing on fluid flow is trivial, and the interface slip velocity and length are relatively stable.
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Keywords:
- roughness /
- wettability /
- interface slip /
- molecular dynamics
[1] 黄桥高, 潘光, 宋保维 2014 物理学报 63 054701
Google Scholar
Huang Q G, Pan G, Song B W 2014 Acta Phys. Sin. 63 054701
Google Scholar
[2] 葛宋, 陈民 2013 工程热物理学报 34 1527
Ge S, Cheng M 2013 J. Eng. Therm. 34 1527
[3] 顾骁坤, 陈民 2010 工程热物理学报 31 1724
Gu X K, Cheng M 2010 J. Eng. Therm. 31 1724
[4] Sun M, Ebner C 1992 Phys. Rev. Lett. 69 3491
Google Scholar
[5] Voronov R S, Papavassiliou D V, Lee L L 2007 Chem. Phys. Lett. 441 273
Google Scholar
[6] 胡海豹, 鲍路瑶, 黄苏和 2013 力学学报 45 507
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Hu H B, Bao L Y, Huang S H 2013 Chin. J. Theor. Appl. Mech. 45 507
Google Scholar
[7] Nagayama G, Cheng P 2004 Int. J. Heat Mass Transfer 47 501
Google Scholar
[8] Barisik M, Beskok A 2011 Microfluid. Nanofluid. 11 269
Google Scholar
[9] Shi Z, Barisik M, Beskok A 2012 Int. J. Therm. Sci. 59 29
Google Scholar
[10] 张冉, 谢文佳, 常青 2018 物理学报 67 084701
Google Scholar
Zhang R, Xie W J, Chang Q 2018 Acta Phys. Sin. 67 084701
Google Scholar
[11] Cieplak M 2001 Phys. Rev. Lett. 86 803
Google Scholar
[12] 闫寒, 张文明, 胡开明, 刘岩, 孟光 2013 物理学报 62 174701
Google Scholar
Yan H, Zhang W M, Hu K M, Liu Y, Meng G 2013 Acta Phys. Sin. 62 174701
Google Scholar
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Google Scholar
Zhang C B, Xu Z L, Chen Y P 2014 Acta Phys. Sin. 63 214706
Google Scholar
[14] Rahmatipour H, Azimian A R, Atlaschian O 2017 Phys. A 465 159
Google Scholar
[15] Toghraie D, Mokhtari M, Afrand M 2016 Physica E 84 152
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Google Scholar
[17] Cao B Y, Sun J, Chen M, Guo Z Y 2009 Int. J. Mol. Sci. 10 4638
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Google Scholar
[20] Xie J F, Cao B Y 2017 Mol. Simul. 43 65
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[22] Plimpton S 1995 J. Comput. Phys. 117 1
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[23] 曹炳阳, 陈民, 过增元 2006 物理学报 55 5305
Google Scholar
Cao B Y, Chen M, Guo Z Y 2006 Acta Phys. Sin. 55 5305
Google Scholar
[24] Schmatko T, Hervet H, Léger L 2006 Langmuir 22 6843
Google Scholar
[25] Thompson P A, Robbins M O 1990 Phys. Rev. A 41 6830
Google Scholar
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图 1 (a) 模拟系统图; (b) 纳米结构示意图
Figure 1. (a) Simulation system; (b) schematic of nanostructure.
图 2 模型结构示意图 (a) Couette流动; (b) Poiseuille流动
Figure 2. Schematic of nanostructure: (a) Couette flow; (b) Poiseuille flow.
图 3 不同势能系数c下流体沿z方向的密度分布 (a) c = 2.0; (b) c = 1.0; (c) c = 0.6; (d) c = 0.2
Figure 3. Density profiles in the z-direction with different energy coefficient c: (a) c = 2.0; (b) c = 1.0; (c) c = 0.6; (d) c = 0.2.
图 4 肋高h对壁面附近流体数密度分布的影响 (a)粗糙壁面; (b)光滑壁面
Figure 4. Effect of rib height h on the distribution of fluid number density near wall surface: (a) Rough wall surface; (b) smooth wall surface.
图 5 肋间距a对壁面附近流体数密度分布的影响 (a)粗糙壁面; (b)光滑壁面
Figure 5. Effect of rib spacing a on the distribution of fluid number density near wall surface: (a) Rough wall surface; (b) smooth wall surface.
图 6 不同肋高h下流体沿y方向的速度分布 (a) Couette流动; (b) Poiseuille流动
Figure 6. Velocity profiles in the y-direction with different rib height h: (a) Couette flow; (b) Poiseuille flow.
图 7 不同肋高h下滑移长度标准差分布
Figure 7. Standard deviation distribution of slip length with different rib height h.
图 8 (a) 肋高h对滑移长度的影响; (b) 肋高h对滑移速度的影响
Figure 8. (a) Effect of rib height h on the slip length; (b) effect of rib height h on the slip velocity.
图 9 不同肋间距a下流体沿y方向的速度分布 (a) Couette流动; (b) Poiseuille流动
Figure 9. Velocity profiles in the y-direction with different rib spacing a: (a) Couette flow; (b) Poiseuille flow.
图 10 不同肋间距a下滑移长度标准差分布
Figure 10. Standard deviation distribution of slip length with different rib spacing a.
图 11 (a) 肋间距a对滑移长度的影响; (b) 肋间距a对滑移速度的影响
Figure 11. (a) Effect of rib spacing a on the slip length; (b) effect of rib spacing a on the slip velocity.
图 12 势能系数c对壁面附近流体数密度分布的影响 (a)粗糙壁面; (b)光滑壁面
Figure 12. Effect of energy coefficient c on the distribution of fluid number density near wall surface: (a) Rough wall surface; (b) smooth wall surface.
图 13 不同势能系数c下流体沿y方向的速度分布 (a) Couette流动; (b) Poiseuille流动
Figure 13. Velocity profiles in the y-direction with different energy coefficient c: (a) Couette flow; (b) Poiseuille flow.
图 14 不同势能系数c下滑移长度标准差分布
Figure 14. Standard deviation distribution of slip length with different energy coefficient c.
图 15 (a) 势能系数c对滑移长度的影响; (b) 势能系数c对滑移速度的影响
Figure 15. (a) Effect of energy coefficient c on the slip length; (b) effect of energy coefficient c on the slip velocity.
表 1 不同模拟工况下对应的粗糙度与接触角
Table 1. Corresponding roughness and contact angle under different simulation conditions.
模拟工况 r θ/(°) (c = 1.0) θ/(°) (c = 0.75) θ/(°) (c = 0.5) θ/(°) (c = 0.25) h = 0 0 0 60 90 120 h = 0.45σ, a = 3.6σ 1.143 0 55.21 90 124.79 h = 0.9σ, a = 3.6σ 1.286 0 50 90 130 h = 1.35σ, a = 3.6σ 1.429 0 44.44 90 135.56 h = 1.8σ, a = 3.6σ 1.571 0 38.22 90 141.78 h = 1.8σ, a = 2.7σ 1.667 0 33.64 90 146.36 h = 1.8σ, a = 4.5σ 1.500 0 41.38 90 138.62 h = 1.8σ, a = 5.4σ 1.444 0 43.80 90 136.20 
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[1] 黄桥高, 潘光, 宋保维 2014 物理学报 63 054701
Google Scholar
Huang Q G, Pan G, Song B W 2014 Acta Phys. Sin. 63 054701
Google Scholar
[2] 葛宋, 陈民 2013 工程热物理学报 34 1527
Ge S, Cheng M 2013 J. Eng. Therm. 34 1527
[3] 顾骁坤, 陈民 2010 工程热物理学报 31 1724
Gu X K, Cheng M 2010 J. Eng. Therm. 31 1724
[4] Sun M, Ebner C 1992 Phys. Rev. Lett. 69 3491
Google Scholar
[5] Voronov R S, Papavassiliou D V, Lee L L 2007 Chem. Phys. Lett. 441 273
Google Scholar
[6] 胡海豹, 鲍路瑶, 黄苏和 2013 力学学报 45 507
Google Scholar
Hu H B, Bao L Y, Huang S H 2013 Chin. J. Theor. Appl. Mech. 45 507
Google Scholar
[7] Nagayama G, Cheng P 2004 Int. J. Heat Mass Transfer 47 501
Google Scholar
[8] Barisik M, Beskok A 2011 Microfluid. Nanofluid. 11 269
Google Scholar
[9] Shi Z, Barisik M, Beskok A 2012 Int. J. Therm. Sci. 59 29
Google Scholar
[10] 张冉, 谢文佳, 常青 2018 物理学报 67 084701
Google Scholar
Zhang R, Xie W J, Chang Q 2018 Acta Phys. Sin. 67 084701
Google Scholar
[11] Cieplak M 2001 Phys. Rev. Lett. 86 803
Google Scholar
[12] 闫寒, 张文明, 胡开明, 刘岩, 孟光 2013 物理学报 62 174701
Google Scholar
Yan H, Zhang W M, Hu K M, Liu Y, Meng G 2013 Acta Phys. Sin. 62 174701
Google Scholar
[13] 张程宾, 许兆林, 陈永平 2014 物理学报 63 214706
Google Scholar
Zhang C B, Xu Z L, Chen Y P 2014 Acta Phys. Sin. 63 214706
Google Scholar
[14] Rahmatipour H, Azimian A R, Atlaschian O 2017 Phys. A 465 159
Google Scholar
[15] Toghraie D, Mokhtari M, Afrand M 2016 Physica E 84 152
Google Scholar
[16] Zhang Z Q, Yuan L S, Liu Z, Cheng G G, Ye H F, Ding J N 2018 Comput. Mater. Sci. 145 184
Google Scholar
[17] Cao B Y, Sun J, Chen M, Guo Z Y 2009 Int. J. Mol. Sci. 10 4638
Google Scholar
[18] Cao B Y, Chen M, Guo Z Y 2006 Phys. Rev. E 74 066311
Google Scholar
[19] Cao B Y, Chen M, Guo Z Y 2006 Int. J. Eng. Sci. 44 927
Google Scholar
[20] Xie J F, Cao B Y 2017 Mol. Simul. 43 65
[21] Tretyakov N, Müller M 2013 Soft Mater. 9 3613
Google Scholar
[22] Plimpton S 1995 J. Comput. Phys. 117 1
Google Scholar
[23] 曹炳阳, 陈民, 过增元 2006 物理学报 55 5305
Google Scholar
Cao B Y, Chen M, Guo Z Y 2006 Acta Phys. Sin. 55 5305
Google Scholar
[24] Schmatko T, Hervet H, Léger L 2006 Langmuir 22 6843
Google Scholar
[25] Thompson P A, Robbins M O 1990 Phys. Rev. A 41 6830
Google Scholar
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