Abstract
Quantitative comparisons were made between the flow factor approach model and the molecular dynamics simulation (MDS) results both of which describe the flow of a molecularly thin fluid film confined between two solid walls. Although these two approaches, respectively, calculate the flow of a confined molecularly thin fluid film by different ways, very good agreements were found between them when the Couette and Poiseuille flows, respectively, calculated from them were compared. It strongly indicates the validity of the flow factor approach model in modeling the flow of a confined molecularly thin fluid film.
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References
Bitsanis I, Magda J.J., Tirrell M., Davis H.T.: Molecular dynamics of flow in micropores. J. Chem. Phys. 87, 1733–1750 (1987)
Bitsanis I., Vanderlick T.K., Tirrell M., Davis H.T.: A tractable molecular theory of flow in strongly inhomogeneous fluids. J. Chem. Phys. 89, 3152–3162 (1988)
Somers S.A., Davis H.T.: Microscopic dynamics of fluids confined between smooth and atomically structured solid surfaces. J. Chem. Phys. 96, 5389–5407 (1992)
Jabbarzadeh A., Atkinson J.D., Tanner R.I.: Rheological properties of thin liquid films by molecular dynamics simulations. J. Non-Newtonian Fluid Mech. 69, 169–193 (1997)
Takaba H., Onumata Y., Nakao S.: Molecular simulation of pressure-driven fluid flow in nanoporous membranes. J. Chem. Phys. 127, 054703 (2007)
Sofos D.F., Karakasidis T.E., Liakopoulos A.: Effects of wall roughness on flow in nanochannels. Phys. Rev. E. 79, 026305 (2009)
Kasiteropoulou D., Karakasidis T.E., Liakopoulos A: Mesoscopic simulation of fluid flow in periodically grooved microchannels. Comput. Fluids 74, 91–101 (2013)
Sofos D.F., Karakasidis T.E., Liakopoulos A.: Effect of wall roughness on shear viscosity and diffusion in nanochannels. Int. J. Heat Mass Transf. 53, 3839–3846 (2010)
Kasiteropoulou D., Karakasidis T.E., Liakopoulos A.: Dissipative particle dynamics investigation of parameters affecting planar nanochannel flows. Mater. Sci. Eng. B 176, 1574–1579 (2011)
Zhang Y.B.: Flow factor of non-continuum fluids in one-dimensional contact. Ind. Lubri. Trib. 58, 151–169 (2006)
Zhang Y.B., Lu G.S.: Flow factor for molecularly thin fluid films in one-dimensional flow due to fluid discontinuity. J. Mol. Liq. 116, 43–50 (2005)
Zhang Y.B.: Flow factor approach to molecularly thin hydrodynamic film lubrication. J. Mol. Liq. 128, 60–64 (2006)
Zhang Y.B.: The Reynolds equation for boundary film considering the non-continuum effect and its application to the one-dimensional micro step bearing: part ii-calculation for boundary slippage. J. Comput. Theor. Nanosci. 10, 609–615 (2013)
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Communicated by O. Zikanov.
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Zhang, Y. A quantitative comparison between the flow factor approach model and the molecular dynamics simulation results for the flow of a confined molecularly thin fluid film. Theor. Comput. Fluid Dyn. 29, 193–204 (2015). https://doi.org/10.1007/s00162-015-0348-7
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DOI: https://doi.org/10.1007/s00162-015-0348-7