Skip to main content
SpringerLink
Log in

Dissolutive flow in nanochannels: transition between plug-like and Poiseuille-like

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

Abstract

Dynamic properties of dissolutive flow in nanochannels were investigated by molecular dynamics simulations. It turned out that the liquid flow pattern changes greatly after the dissolution effect taken into consideration. Liquid inside the channel has a plug-like velocity profile when the dissolubility is low, whereas a Poiseuille-like flow was observed as the dissolubility increases. By introducing the dissolution term to molecular kinetic theory, we explained the physical mechanisms of velocity transition. During which a modified dimensionless Galilei number was proposed to describe the effect of main forces. The results showed that in pressure-driven flow, when the dissolubility is low, the dominant dissipation is the viscous dissipation and the theoretical model of insolubility is acceptable. However, as the dissolubility increases, the dissolving dissipation takes priority, which results in the velocity profiles becoming Poiseuille-like. In addition, we analyzed the evolution of fluid density, number of dissolved solid particles and concentration distribution of solute. The liquid density varying from layered oscillation to uniform distribution was obtained, which can be described by a critical number. The analysis of solute concentration helps to establish the scaling relation among the dissolution rate, convection velocity, and diffusion coefficient. These findings not only help to understand the physical mechanisms of dissolutive flow but also help to control and optimize the flow patterns in dissoluble channels.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

References

  • Alexiadis A, Kassinos S (2008) The density of water in carbon nanotubes. Chem Eng Sci 63:2047–2056

    Article  Google Scholar 

  • Amidon GL, Lennernäs H, Shah VP, Crison JR (1995) A theoretical basis for a biopharmaceutic drug classification: the correlation of in vitro drug product dissolution and in vivo bioavailability. Pharm Res 12:413–420

    Article  Google Scholar 

  • Anderson RY, Kirkland DW (1980) Dissolution of salt deposits by brine density flow. Geology 8:66–69

    Article  Google Scholar 

  • Bakli C, Chakraborty S (2013) Effect of presence of salt on the dynamics of water in uncharged nanochannels. J Chem Phys 138:054504

    Article  Google Scholar 

  • Bekri S, Thovert J, Adler P (1995) Dissolution of porous media. Chem Eng Sci 50:2765–2791

    Article  Google Scholar 

  • Benhassine M, Saiz E, Tomsia AP, De Coninck J (2011) Nonreactive wetting kinetics of binary alloys: a molecular dynamics study. Acta Mater 59:1087–1094

    Article  Google Scholar 

  • Bentiss F, Lebrini M, Lagrenée M (2005) Thermodynamic characterization of metal dissolution and inhibitor adsorption processes in mild steel/2,5-bis(n-thienyl)-1, 3,4-thiadiazoles/hydrochloric acid system. Corros Sci 47:2915–2931

    Article  Google Scholar 

  • Berendsen H, Grigera J, Straatsma T (1987) The missing term in effective pair potentials. J Phys Chem US 91:6269–6271

    Article  Google Scholar 

  • Bonn D, Eggers J, Indekeu J, Meunier J, Rolley E (2009) Wetting and spreading. Rev Mod Phys 81:739–805

    Article  Google Scholar 

  • Brutin D, Starov V (2018) Recent advances in droplet wetting and evaporation. Chem Soc Rev 42:558–585

    Article  Google Scholar 

  • Chen X et al (2008) Nanoscale fluid transport: size and rate effects. Nano Lett 8:2988–2992

    Article  Google Scholar 

  • Daccord G (1987) Chemical dissolution of a porous medium by a reactive fluid. Phys Rev Lett 58:479–482

    Article  Google Scholar 

  • Daccord G, Lenormand R (1987) Fractal patterns from chemical dissolution. Nature 325:41–43

    Article  Google Scholar 

  • De Gennes P-G (1985) Wetting: statics and dynamics. Rev Mod Phys 57:827–863

    Article  Google Scholar 

  • Derjaguin B, Obuchov E (1936) Ultramicrometric analysis of solvate layer and elementary expansion effects. Acta Phys Chim 5:1–22

    Google Scholar 

  • Dokoumetzidis A, Macheras P (2006) A century of dissolution research: from Noyes and Whitney to the biopharmaceutics classification system. Int J Pharm 321:1–11

    Article  Google Scholar 

  • Fan X-J, Phan-Thien N, Yong NT, Diao X (2002) Molecular dynamics simulation of a liquid in a complex nano channel flow. Phys Fluids 14:1146–1153

    Article  Google Scholar 

  • Granick S (1999) Soft matter in a tight spot. Phys Today 52:26–31

    Article  Google Scholar 

  • Grujicic M, Cao G, Roy W (2004) Atomistic simulations of the solubilization of single-walled carbon nanotubes in toluene. J Mater Sci 39:2315–2325

    Article  Google Scholar 

  • Hanasaki I, Nakatani A (2006) Flow structure of water in carbon nanotubes: Poiseuille type or plug-like? J Chem Phys 124:144708

    Article  Google Scholar 

  • Huang JM, Moore MNJ, Ristroph L (2015) Shape dynamics and scaling laws for a body dissolving in fluid flow. J Fluid Mech 765:R3

    Article  Google Scholar 

  • Ivanisenko Y, Lojkowski W, Valiev R, Fecht H-J (2003) The mechanism of formation of nanostructure and dissolution of cementite in a pearlitic steel during high pressure torsion. Acta Mater 51:5555–5570

    Article  Google Scholar 

  • Joseph S, Aluru N (2008) Why are carbon nanotubes fast transporters of water? Nano Lett 8:452–458

    Article  Google Scholar 

  • Kasiteropoulou K, Karakasidis TE, Liakopoulos A (2013) Mesoscopic simulation of fluid dlow in periodically grooved. Comput Fluids 74:91–101

    Article  Google Scholar 

  • Laidler JK (1941) The theory of rate processes, vol 1. McGraw-Hill, New York, pp 195–196

    Google Scholar 

  • Landry K, Eustathopoulos N (1996) Dynamics of wetting in reactive metal/ceramic systems: linear spreading. Acta Mater 44:3923–3932

    Article  Google Scholar 

  • Lennard-Jones JE (1931) Cohesion. Proc Phys Soc 43:461–482

    Article  Google Scholar 

  • Liakopoulos A, Sofos F, Karakasidis TE (2017) Darcy–Weisbach friction factor at the nanoscale: from atomistic calculations to continuum models. Phys Fluids 29:052003

    Article  Google Scholar 

  • Lichter S, Roxin A, Mandre S (2004) Mechanisms for liquid slip at solid surfaces. Phys Rev Lett 93:086001

    Article  Google Scholar 

  • Martini A, Roxin A, Snurr RQ, Wang Q, Lichter S (2008) Molecular mechanisms of liquid slip. J Fluid Mech 600:257–269

    Article  Google Scholar 

  • Marzun G, Bönnemann H, Lehmann C, Spliethoff B, Weidenthaler C, Barcikowski S (2017) Role of dissolved and molecular oxygen on Cu and PtCu alloy particle structure during laser ablation synthesis in liquids. ChemPhysChem 18:1175–1184

    Article  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  Google Scholar 

  • Navier CLMH (1823) Mémoire sur les lois mouvement des fluides. Mem Acad R Sci 6:389–440

    Google Scholar 

  • Netos C, Evans DR, Bonaccurso E, Butt HJ, Craig VS (2005) Boundary slip in Newtonian liquids: a review of experimental studies. Rep Prog Phys 68:2859–2897

    Article  Google Scholar 

  • Odzak N, Kistler D, Behra R, Sigg L (2014) Dissolution of metal and metal oxide nanoparticles in aqueous media. Environ Pollut 191:132–138

    Article  Google Scholar 

  • Pismen LM, Rubinstein BY (2001) Kinetic slip condition, van der Waals forces, and dynamic contact angle. Langmuir 17:5265–5270

    Article  Google Scholar 

  • Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1–19

    Article  Google Scholar 

  • Poesio P, Beretta GP, Thorsen T (2009) Dissolution of a liquid microdroplet in a nonideal liquid–liquid mixture far from thermodynamic equilibrium. Phys Rev Lett 103:064501

    Article  Google Scholar 

  • Ramosalvarado B, Kumar S, Peterson GP (2016) Wettability transparency and the quasiuniversal relationship between hydrodynamic slip and contact angle. Appl Phys Lett 108:074105

    Article  Google Scholar 

  • Schlichting H, Gersten K (2017) Extensions to the Prandtl boundary–layer theory. Boundary–layer theory. Springer, New York, pp 377–411

    Google Scholar 

  • Siepmann J, Siepmann F (2013) Mathematical modeling of drug dissolution. Int J Pharm 453:12–24

    Article  Google Scholar 

  • Singler TJ, Su S, Yin L, Murray BT (2012) Modeling and experiments in dissolutive wetting: a review. J Mater Sci 47:8261–8274

    Article  Google Scholar 

  • Sofos F, Karakasidis T, Liakopoulos A (2009) Transport properties of liquid argon in krypton nanochannels: anisotropy and non-homogeneity introduced by the solid walls. Int J Heat Mass Transf 52:735–743

    Article  Google Scholar 

  • Sofos F, Karakasidis TE, Liakopoulos A (2010) Effect of wall roughness on shear viscosity and diffusion in nanochannels. Int J Heat Mass Transf 53:3839–3846

    Article  Google Scholar 

  • Sofos F, Karakasidis TE, Liakopoulos A (2011) Surface wettability effects on flow in rough wall nanochannels. Microfluid Nanofluidics 12:25–31

    Article  Google Scholar 

  • Thomas JA, McGaughey AJ (2008) Reassessing fast water transport through carbon nanotubes. Nano Lett 8:2788–2793

    Article  Google Scholar 

  • Wang F-C, Zhao Y-P (2011) Slip boundary conditions based on molecular kinetic theory: the critical shear stress and the energy dissipation at the liquid–solid interface. Soft Matter 7:8628–8634

    Article  Google Scholar 

  • Werder T, Walther JH, Jaffe RL, Halicioglu T, Noca F, Koumoutsakos P (2001) Molecular dynamics simulation of contact angles of water droplets in carbon nanotubes. Nano Lett 1:697–702

    Article  Google Scholar 

  • Yang J, Yuan Q, Zhao Y-P (2018) Evolution of the interfacial shape in dissolutive wetting: coupling of wetting and dissolution. Int J Heat Mass Transf 118:201–207

    Article  Google Scholar 

  • Yen T-H (2015) Effects of wettability and interfacial nanobubbles on flow through structured nanochannels: an investigation of molecular dynamics. Mol Phys 113:3783–3795

    Article  Google Scholar 

  • Yin L, Murray BT, Singler TJ (2006) Dissolutive wetting in the Bi–Sn system. Acta Mater 54:3561–3574

    Article  Google Scholar 

  • Zhou X, De Hosson JTM (1996) Reactive wetting of liquid metals on ceramic substrates. Acta Mater 44:421–426

    Article  Google Scholar 

Download references

Acknowledgements

This work was jointly supported by the National Natural Science Foundation of China (NSFC, Grant nos. 11722223, 11672300, 11872363 and 51861145314), the CAS Key Research Program of Frontier Sciences (Grant no. QYZDJ-SSW-JSC019), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant no. XDB22040401).

Author information

Authors and Affiliations

  1. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Qing Miao, Quanzi Yuan & Ya-Pu Zhao

  2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Qing Miao, Quanzi Yuan & Ya-Pu Zhao

Authors
  1. Qing Miao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Quanzi Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ya-Pu Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Quanzi Yuan or Ya-Pu Zhao.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This article is part of the topical collection “2018 International Conference of Microfluidics, Nanofluidics and Lab-on-a-Chip, Beijing, China” guest edited by Guoqing Hu, Ting Si and Zhaomiao Liu.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (DOCX 2592 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Miao, Q., Yuan, Q. & Zhao, YP. Dissolutive flow in nanochannels: transition between plug-like and Poiseuille-like. Microfluid Nanofluid 22, 141 (2018). https://doi.org/10.1007/s10404-018-2146-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10404-018-2146-1

Keywords

Search

Navigation