Skip to main content
Log in

A method to generate pressure gradients for molecular simulation of pressure-driven flows in nanochannels

  • Research Paper
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

One of the difficulties in molecular simulation of pressure-driven fluid flow in nanochannels is to find an appropriate pressure control method. When periodic boundary conditions (PBCs) are applied, a gravity-like field has been widely used to replace actual pressure gradients. The gravity-fed method is not only artificial, but not adequate for studying properties of fluid systems which are essentially inhomogeneous in the flow direction. In this paper, a method is proposed which can generate any desired pressure difference to drive the fluid flow by attaching a “pump” to the nanofluidic system, while the model is still compatible with PBCs. The molecular dynamics model based on the proposed method is applied to incompressible flows in smooth nanochannels, and the predicted velocity profiles are identical to those by the gravity-fed method, as expected. For compressible flows, the proposed model successfully predicts the changes of fluid density and velocity profile in the flow direction, while the gravity-fed method can only predict constant fluid properties. For fluid flows in nanochannels with a variable cross-sectional area, the proposed model predicts higher mass flow rates as compared to the gravity-fed method and possible reasons for the difference are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Ajayan PM, Stephan O, Redlich Ph, Colliex C (1995) Carbon nanotubes as removable templates for metal oxide nanocomposites and nanostructures. Nature (London) 375:564–567

    Article  Google Scholar 

  • Alexiadis A, Kassinos S (2008) Molecular simulation of water in carbon nanotubes. Chem Rev 108:5014–5034

    Article  Google Scholar 

  • Andersen HC (1980) Molecular dynamics simulations at constant pressure and/or temperature. J Chem Phys 72:2384–2393

    Article  Google Scholar 

  • Auletta T, Dordi B, Mulder A, Sartori A, Onclin S, Bruinink CM, Peter M, Nijhuis A, Beijleveld H, Schonherr H, Vancso GJ, Casnati A, Ungaro R, Ravoo BJ, Huskens J, Reinhoudt DN (2004) Writing patterns of molecules on molecular printboards. Angew Chem Int Ed 43:369–373

    Article  Google Scholar 

  • Barrat JL, Bocquet L (1999) Large slip effect at a nonwetting fluid–solid interface. Phys Rev Lett 82:4671–4674

    Article  Google Scholar 

  • Berendsen HJC, Postma JPM, van Gunsteren WF, Di Nola A, Haak JR (1984) Molecular dynamics with coupling to an external bath. J Chem Phys 81:3684–3690

    Article  Google Scholar 

  • Bernardi S, Todd BD, Searles DJ (2010) Thermostating highly confined fluids. J Chem Phys 132:244706

    Article  Google Scholar 

  • Cieplak M, Koplik J, Banavar JR (2006) Nanoscale fluid flows in the vicinity of patterned surfaces. Phys Rev Lett 96:114502

    Article  Google Scholar 

  • Frenkel D, Smit B (2002) Understanding molecular simulation from algorithms to applications. Academic press, San Diego

    Google Scholar 

  • Hanasaki I, Nakatani A (2006) Fluidized piston model for molecular dynamics simulations of hydrodynamic flow. Model Simul Mater Sci Eng 14:S9–S20

    Article  Google Scholar 

  • Heffelfinger GS, van Swol F (1994) Diffusion in Lennard–Jones fluids using dual control volume grand canonical molecular dynamics simulation (DCV–GCMD). J Chem Phys 100:7548–7552

    Article  Google Scholar 

  • Holt JK, Park HG, Wang YM, Stadermann M, Artyukhin AB, Grigoropoulos CP, Noy A, Bakajin O (2006) Fast mass transport through sub—2-nanometer carbon nanotubes. Science 312:1034–1037

    Article  Google Scholar 

  • Huang C, Choi PYK, Nandakumar K, Kostiuk LW (2007) Comparative study between continuum and atomistic approaches of liquid flow through a finite length cylindrical nanopore. J Chem Phys 126:224702

    Article  Google Scholar 

  • Kannam SK, Todd BD, Hansen JS, Daivis P (2011) Slip flow in graphene nanochannels. J Chem Phys 135:144701

    Article  Google Scholar 

  • Kuang C, Wang G (2010) A novel far–field nanoscopic velocimetry for nanofluidics. Lab Chip 10:240–245

    Article  Google Scholar 

  • Li Y, Xu J, Li D (2010) Molecular dynamics simulation of nanoscale liquid flows. Microfluid Nanofluid 9:1011–1031

    Article  Google Scholar 

  • Liang Z, Tsai HL (2010) Prediction of transport properties of a polyatomic gas. Fluid Phase Equilib 293:196–204

    Article  Google Scholar 

  • Liang Z, Tsai HL (2011) Effects of molecular film thickness on thermal conduction across solid-film interfaces. Phys Rev E 83:061603

    Article  Google Scholar 

  • Lincoln RC, Koliwad KM, Ghate PB (1967) Morse-potential evaluation of second- and third-order elastic constants of some cubic metals. Phys Rev 157:463–466

    Article  Google Scholar 

  • Linstrom PJ, Mallard WG (2011) National Institute of Standards and Technology, Gaithersburg MD, 20899. http://webbook.nist.gov

  • Liu C, Li ZG (2009) Flow regimes and parameter dependence in nanochannel flows. Phys Rev E 80:036302

    Article  Google Scholar 

  • Liu C, Fan Y, Cong HT, Cheng HM, Dreselhaus MS (1999) Hydrogen storage in single-walled carbon nanotubes at room temperature. Science 286:1127–1129

    Article  Google Scholar 

  • Maitland GC, Rigby M, Smith EB, Wakeham WA (1981) Intermolecular forces: their origin and determination. Clarendon Press, Oxford

    Google Scholar 

  • Nagayama G, Cheng P (2004) Effects of interface wettability on microscale flow by molecular dynamics simulation. Int J Heat Mass Transf 47:501–513

    Article  MATH  Google Scholar 

  • Schlichting H (1979) Boundary layer theory, 7th edn. McGraw-Hill, New York

    MATH  Google Scholar 

  • Takaba H, Onumata Y, Nakao S (2007) Molecular simulation of pressure-driven fluid flow in nanoporous membranes. J Chem Phys 127:054703

    Article  Google Scholar 

  • Todd BD, Evans DJ, Daivis PJ (1995) Pressure tensor for inhomogeneous fluids. Phys Rev E 52:1627–1638

    Article  Google Scholar 

  • Unguris J, Bruch LW, Moog ER, Webb MB (1981) Ar and Kr adsorption on Ag(111). Surf Sci 109:522–556

    Article  Google Scholar 

  • van der Heyden FHJ, Stein D, Dekker C (2005) Streaming current in a single nanofluidic channel. Phys Rev Lett 95:116104

    Article  Google Scholar 

  • van der Heyden FHJ, Bonthuis DJ, Stein D, Meyer C, Dekker C (2007) Power generation by pressure-driven transport of ions in nanofluidic channels. Nano Lett 7:1022–1025

    Article  Google Scholar 

  • Wang Q, Challa SR, Sholl DS, Jonhson JK (1999) Quantum sieving in carbon nanotubes and zerolites. Phys Rev Lett 82:956–959

    Article  Google Scholar 

  • Yang SC (2006) Effects of surface roughness and interface wettability on nanoscale flow in a nanochannel. Microfluid Nanofluid 2:501–511

    Article  Google Scholar 

  • Zheng M, Jagota A, Semke ED, Diner BA, Mclean RS, Lustig SR, Richardson RE, Tassi NG (2003) DNA-assisted dispersion and separation of carbon nanotubes. Nat Mater 2:338–342

    Article  Google Scholar 

  • Zhu Y, Granick S (2002) Limits of the hydrodynamic no-slip boundary condition. Phys Rev Lett 88:106102

    Article  Google Scholar 

Download references

Acknowledgments

We thank National Institute for Computational Science (NICS) and National Center for Supercomputing Applications (NCSA) for providing us supercomputer resources for MD simulations.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hai-Lung Tsai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, Z., Tsai, HL. A method to generate pressure gradients for molecular simulation of pressure-driven flows in nanochannels. Microfluid Nanofluid 13, 289–298 (2012). https://doi.org/10.1007/s10404-012-0960-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-012-0960-4

Keywords

Navigation