TY - JOUR

T1 - Computation of the electrostatic force on a cylindrical colloidal particle

T2 - Comparison of the poisson-nernst-planck model and the poisson-boltzmann model

AU - Fernandes, Dolfred Vijay

AU - Alapati, Suresh

AU - Suh, Yong Kweon

N1 - Funding Information:
This work was supported by NRF grant No. 2009-0083510 through Multi-phenomena CFD Engineering Research Center and by the Human Resources Development of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Knowledge Economy (No. 20114030200030). This work was also supported by a grant No. F0004021-2009-32 from the Information Display R&D Center, one of the Knowledge Economy Frontier R&D Programs funded by the Ministry of Knowledge Economy of Korean Government.

PY - 2012

Y1 - 2012

N2 - This paper computes the electrostatic force on a cylindrical colloidal particle when it is in the proximity of a charged planar wall and an external electric field parallel to the planar wall is applied. The electrostatic force depends on the electric field distribution around the particle and is calculated by integrating the electrostatic stress tensor over the particle surface. The electric field, as well as the ion distribution, is obtained from the numerical solution of Poisson-Nernst-Planck equations on Chimera grids by using the finite-volume method. A comparison of the electrostatic force obtained from the Poisson-Nernst-Planck model and with that obtained from the Poisson-Boltzmann model has been made to identify the limitations of the Poisson-Boltzmann model. The Poisson-Boltzmann model is found not to account for the effect of an external field on the distribution of ions and hence to predict a high electrostatic force in the direction of the external electric field.

AB - This paper computes the electrostatic force on a cylindrical colloidal particle when it is in the proximity of a charged planar wall and an external electric field parallel to the planar wall is applied. The electrostatic force depends on the electric field distribution around the particle and is calculated by integrating the electrostatic stress tensor over the particle surface. The electric field, as well as the ion distribution, is obtained from the numerical solution of Poisson-Nernst-Planck equations on Chimera grids by using the finite-volume method. A comparison of the electrostatic force obtained from the Poisson-Nernst-Planck model and with that obtained from the Poisson-Boltzmann model has been made to identify the limitations of the Poisson-Boltzmann model. The Poisson-Boltzmann model is found not to account for the effect of an external field on the distribution of ions and hence to predict a high electrostatic force in the direction of the external electric field.

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U2 - 10.3938/jkps.60.1102

DO - 10.3938/jkps.60.1102

M3 - Article

AN - SCOPUS:84872552341

VL - 60

SP - 1102

EP - 1113

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - 7

ER -