, Volume 54, Issue 14, pp 2131–2149 | Cite as

Electroosmotic flow and transport of ionic species through a slit soft nanochannel filled with general electrolytes

  • Santanu Saha
  • Partha P. GopmandalEmail author
  • H. Ohshima


A numerical study is presented of the electroosmotic flow (EOF) and transport of ionic species through a slit soft nanochannel filled with general electrolytes. The rigid walls of the undertaken channel are coated with ion and fluid penetrable charged polyelectrolyte layers (PELs). The physicochemical properties of the surface PELs grafted on the lower and upper walls are considered to be either similar or dissimilar in nature. A nonlinear model based on the coupled Poisson–Boltzmann equation for electrostatics and the modified Stokes equation for hydrodynamics is adopted. Based on the Debye–Huckel limit under a low potential approximation a closed form solution for the induced potential and axial velocity is derived. However throughout our present study a sophisticated numerical technique is adopted to consider a wide range of pertinent parameters governing the problem. It is observed that the EOF and transport of ionic species strongly depends on the choice of the PEL-charge and the background electrolyte solution. In addition we have shown that the selectivity of mobile electrolyte ions can be actively tuned by regulating the physicochemical properties of the surface PELs and the background aqueous medium.


Electroosmotic flow Polyelectrolyte layer General electrolyte Ion selectivity 



The authors (P. P. Gopmandal and S. Saha) thanks the Science and Engineering Research Board (SERB), Government of India, for providing the financial support through the project (File No. YSS/2015/000468).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Santanu Saha
    • 1
    • 2
  • Partha P. Gopmandal
    • 1
    • 3
    Email author
  • H. Ohshima
    • 4
  1. 1.Department of MathematicsNational Institute of Technology PatnaPatnaIndia
  2. 2.Graduate School of Life and Environmental SciencesUniversity of TsukubaTsukuba-shiJapan
  3. 3.Department of MathematicsNational Institute of Technology DurgapurDurgapurIndia
  4. 4.Faculty of Pharmaceutical SciencesTokyo University of ScienceNodaJapan

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