System-size effect on the friction at liquid-solid interfaces

doi:10.1007/s10483-020-2591-5

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (3): 471-478.doi: https://doi.org/10.1007/s10483-020-2591-5

• Articles • Previous Articles Next Articles

System-size effect on the friction at liquid-solid interfaces

Liang ZHAO¹, Jiajia SUN¹, Xian WANG¹, Li ZENG², Chunlei WANG³, Yusong TU¹

1. College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, Jiangsu Province, China;
2. School of Physics and Electronics, Nanning Normal University, Nanning 530023, China;
3. Division of Interfacial Water and Key Laboratory of Interfacial Physics and Technology, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China

Received:2019-08-12 Revised:2019-12-28 Online:2020-03-01 Published:2020-02-17
Contact: Yusong TU E-mail:ystu@yzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11605151, 11675138, and 11422542) and the Special Program for Applied Research on Super Computation of the NSFCGuangdong Joint Fund (the second phase)

Abstract

Abstract: The friction at the liquid-solid interfaces is widely involved in various phenomena ranging from nanometer to micrometer scales. By the molecular dynamic (MD) simulation, the friction properties of liquid-solid interfaces at the molecular level are calculated via the Green-Kubo relation. It is found that the system size will influence the value of the friction coefficient, especially for the solid surfaces with the larger polar charge. The value of the friction coefficient decreases with the increase in the system size and converges at large system sizes. The large polar charge will lead to a significant friction coefficient. However, the diffusion of water molecules on this surface is almost a constant, indicating that the diffusion coefficient seems to be independent of the system size and polar charge. This work provides insights for the selection of the system size in modeling the frictional properties of hydrophobic/hydrophilic surfaces.

Key words: Green-Kubo relation, liquid-solid interface, system-size effect, friction coefficient

2010 MSC Number:

82B24

Liang ZHAO, Jiajia SUN, Xian WANG, Li ZENG, Chunlei WANG, Yusong TU. System-size effect on the friction at liquid-solid interfaces. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 471-478.

TrendMD

References 31

[1]	SINGER, I. L. and POLLOCK, H. Fundamentals of Friction:Macroscopic and Microscopic Processes, Springer Science & Business Media, Dordrecht (1992)
[2]	AMPUERO, J. P. and BEN-ZION, Y. Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction. Geophysical Journal International, 173, 674-692(2008)
[3]	BOCQUET, L. and BARRAT, J. L. Flow boundary conditions from nano-to micro-scales. Soft Matter, 3, 685-693(2007)
[4]	FALK, K., SEDLMEIER, F., JOLY, L., NETZ, R. R., and BOCQUET, L. Molecular origin of fast water transport in carbon nanotube membranes:superlubricity versus curvature dependent friction. Nano Letters, 10, 4067-4073(2010)
[5]	TU, Y., LU, H., ZHANG, Y., HUYNH, T., and ZHOU, R. Capability of charge signal conversion and transmission by water chains confined inside Y-shaped carbon nanotubes. The Journal of Chemical Physics, 138, 015104(2013)
[6]	WANG, J., CAO, W., MA, M., and ZHENG, Q. Enhanced diffusion on oscillating surfaces through synchronization. Physical Review E, 97, 022141(2018)
[7]	HOLT, J. K., PARK, H. G., WANG, Y., STADERMANN, M., ARTYUKHIN, A. B., GRIGOROPOULOS, C. P., NOY, A., and BAKAJIN, O. Fast mass transport through sub-2-nanometer carbon nanotubes. Science, 312, 1034-1037(2006)
[8]	ZHU, Y. and GRANICK, S. Rate-dependent slip of Newtonian liquid at smooth surfaces. Physical Review Letters, 87, 096105(2001)
[9]	MA, M., TOCCI, G., MICHAELIDES, A., and AEPPLI, G. Fast diffusion of water nanodroplets on graphene. Nature Materials, 15, 66-71(2016)
[10]	BRISCOE, W. H., TITMUSS, S., TIBERG, F., THOMAS, R. K., MCGILLIVRAY, D. J., and KLEIN, J. Boundary lubrication under water. nature, 444, 191-194(2006)
[11]	DRELICH, J., CHIBOWSKI, E., MENG, D. D., and TERPILOWSKI, K. Hydrophilic and superhydrophilic surfaces and materials. Soft Matter, 7, 9804-9828(2011)
[12]	XIU, P., TU, Y., TIAN, X., FANG, H., and ZHOU, R. Molecular wire of urea in carbon nanotube:a molecular dynamics study. Nanoscale, 4, 652-658(2012)
[13]	LUAN, B. and ZHOU, R. Wettability and friction of water on a MoS2 nanosheet. Applied Physics Letters, 108, 131601(2016)
[14]	WANG, C., ZHOU, B., TU, Y., DUAN, M., XIU, P., LI, J., and FANG, H. Critical dipole length for the wetting transition due to collective water-dipoles interactions. Scientific Reports, 2, 358(2012)
[15]	ZHANG, P., CHEN, Y. P., GUO, J. S., SHEN, Y., YANG, J. X., FANG, F., LI, C., GAO, X., and WANG, G. X. Adsorption behavior of tightly bound extracellular polymeric substances on model organic surfaces under different pH and cations with surface plasmon resonance. Water Research, 57, 31-39(2014)
[16]	HUANG, S., HOU, Q., GUO, D., YANG, H., CHEN, T., LIU, F., HU, G., ZHANG, M., ZHANG, J., and WANG, J. Adsorption mechanism of mussel-derived adhesive proteins onto various selfassembled monolayers. RSC Advances, 7, 39530(2017)
[17]	MARTINS, M., FONSECA, C., BARBOSA, M., and RATNER, B. Albumin adsorption on alkanethiols self-assembled monolayers on gold electrodes studied by chronopotentiometry. Biomaterials, 24, 3697-3706(2003)
[18]	CHIEH, H. F., SU, F. C., LIAO, J. D., LIN, S. C., CHANG, C. W., and SHEN, M. R. Attachment and morphology of adipose-derived stromal cells and exposure of cell-binding domains of adsorbed proteins on various self-assembled monolayers. Soft Matter, 7, 3808-3817(2011)
[19]	HUANG, K. and SZLUFARSKA, I. Green-Kubo relation for friction at liquid-solid interfaces. Physical Review E, 89, 032119(2014)
[20]	GORB, S., GORB, E., and KASTNER, V. Scale effects on the attachment pads and friction forces in syrphid flies (Diptera, Syrphidae). Journal of Experimental Biology, 204, 1421-1431(2001)
[21]	BOCQUET, L. and BARRAT, J. L. On the Green-Kubo relationship for the liquid-solid friction coefficient. The Journal of Chemical Physics, 139, 044704(2013)
[22]	TOCCI, G., JOLY, L., and MICHAELIDES, A. Friction of water on graphene and hexagonal boron nitride from ab initio methods:very different slippage despite very similar interface structures. Nano Letters, 14, 6872-6877(2014)
[23]	BOCQUET, L. and BARRAT, J. L. Hydrodynamic boundary conditions, correlation functions, and Kubo relations for confined fluids. Physical Review E, 49, 3079-3092(1994)
[24]	CAO, W., WANG, J., and MA, M. Water diffusion in wiggling graphene membranes. The Journal of Physical Chemistry Letters, 10, 7251-7258(2019)
[25]	MA, M., GREY, F., SHEN, L., URBAKH, M., WU, S., LIU, J. Z., LIU, Y., and ZHENG, Q. Water transport inside carbon nanotubes mediated by phonon-induced oscillating friction. Nature Nanotechnology, 10, 692-695(2015)
[26]	VON HANSEN, Y., GEKLE, S., and NETZ, R. R. Anomalous anisotropic diffusion dynamics of hydration water at lipid membranes. Physical Review Letters, 111, 118103(2013)
[27]	ERBASŞ, A., HORINEK, D., and NETZ, R. R. Viscous friction of hydrogen-bonded matter. Journal of the American Chemical Society, 134, 623-630(2011)
[28]	SCHULZ, J. C., SCHMIDT, L., BEST, R. B., DZUBIELLA, J., and NETZ, R. R. Peptide chain dynamics in light and heavy water:zooming in on internal friction. Journal of the American Chemical Society, 134, 6273-6279(2012)
[29]	WAN, R., LI, J., LU, H., and FANG, H. Controllable water channel gating of nanometer dimensions. Journal of the American Chemical Society, 127, 7166-7170(2005)
[30]	SECCHI, E., MARBACH, S., NIGU S, A., STEIN, D., SIRIA, A., and BOCQUET, L. Massive radius-dependent flow slippage in carbon nanotubes. nature, 537, 210-213(2016)
[31]	BORMUTH, V., VARGA, V., HOWARD, J., and SCH FFER, E. Protein friction limits diffusive and directed movements of kinesin motors on microtubules. Science, 325, 870-873(2009)

System-size effect on the friction at liquid-solid interfaces

RichHTML

PDF

Knowledge

Abstract

Cite this article

share this article

References 31

Related Articles 4

Recommended Articles

Metrics

Comments

[1]	M. RAHMAN, M. TURKYILMAZOGLU, Z. MUSHTAQ. Effects of multiple shapes for steady flow with transformer oil+Fe₃O₄+TiO₂ between two stretchable rotating disks [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 373-388.
[2]	S. ABBASBANDY;T. HAYAT;H. R. GHEHSAREH;A.ALSAEDI. MHD Falkner-Skan flow of Maxwell fluid by rational Chebyshev collocation method [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(8): 921-930.
[3]	M. NAWAZ;T. HAYAT;A.ALSAEDI. Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium [J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1403-1418.
[4]	T. HAYAT;M.NAWAZ;S.OBAIDAT. Axisymmetric magnetohydrodynamic flow of micropolar fluid between unsteady stretching surfaces [J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(3): 361-374.