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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 79, 2021 - Issue 3
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Original Articles

Analysis of electro-osmotic flow by lattice Boltzmann simulation and Helmholtz-Smoluchowski formula

Shr-Chuan Yanga Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Republic of ChinaORCID Iconhttps://orcid.org/0000-0001-6317-3660View further author information
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Tony Wen-Hann Sheua Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Republic of China;b Center for Advanced Study in Theoretical Sciences (CASTS), National Taiwan University, Taipei, Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-8533-3282View further author information
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Pages 130-149 | Received 12 Aug 2020, Accepted 01 Sep 2020, Published online: 22 Sep 2020
 
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Abstract

Numerical study of electro-osmotic flow (EOF) and theoretical exploration of relationship between EOF and electrical double layer (EDL) are carried out in the present work. Under the Poisson-Boltzmann and Debye-Hückel approximations, the analytic solution of electric potential, net charge, and flow pattern can be derived. The numerical results obtained by Poisson-Nernst-Planck (PNP) and Navier-Stokes equations are compared with the analytic solution and the solution based on the Helmholtz-Smoluchowski formula. Also, this article provides a clearer view on nondimensionalization applied on lattice Boltzmann method with different differential equation.

Additional information

Funding

This work was supported by the Ministry of Science and Technology (MOST) under the grants MOST-109-2221-E-002-038-MY2.

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