Issue |
EPL
Volume 124, Number 1, October 2018
|
|
---|---|---|
Article Number | 14004 | |
Number of page(s) | 7 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/124/14004 | |
Published online | 09 November 2018 |
Universality of steric effects of electrolytes in nanoconfinements
1 Jindal Global Business School, O.P. Jindal Global University (JGU) - Sonipat, Haryana-131001, India
2 Department of Chemical Engineering, Pohang University of Science and Technology (POSTECH) - Pohang 37673, Republic of Korea
3 Center for Soft and Living Matter, Institute for Basic Science (IBS) - Ulsan 44919, Republic of Korea
Received: 7 August 2018
Accepted: 8 October 2018
We analyze the steric effect of electrolyte on the normal stress exerted on a wall and the free charge density in a nanoconfinement using the modified Poisson-Boltzmann (mPB) equation. The outward normal stress exerted on the channel wall (Pnn) is calculated by solving the mPB numerically with a constant surface potential for various equilateral polygonal channels and compared with one-dimensional and circular channels by varying the steric factor (γ) and asymmetry of ions (ξ). The results show that the averaged normal stress on the walls () and the averaged charge density in the channels (
) are almost independent of the channel shape, and are the same with those of the circular channel. From the numerical observation, we infer the universality of average electric field (
) and average electrical stress (
) on the channel wall, both of which are independent of the channel shape if the hydraulic radius is the same.
PACS: 47.57.jd – Electrokinetic effects / 61.20.Qg – Structure of associated liquids: electrolytes, molten salts, etc. / 41.20.Cv – Electrostatics; Poisson and Laplace equations, boundary-value problems
© EPLA, 2018
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