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Sherief HH, Faltas MS, Ragab KE. Transient electrophoresis of a conducting spherical particle embedded in an electrolyte-saturated Brinkman medium. Electrophoresis 2021; 42:1636-1647. [PMID: 34118079 DOI: 10.1002/elps.202100063] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2021] [Revised: 05/09/2021] [Accepted: 06/03/2021] [Indexed: 11/11/2022]
Abstract
In this study, the time-dependent electrophoretic motion of a conducting spherical particle embedded in an arbitrary electrolyte solution saturated porous medium is investigated. The porous medium is uniformly charged and the embedded hard particle is charged with constant ζ -potential or constant surface charge density. The unsteady modified Brinkman equation with an electric force term, which governs the fluid velocity field, is used to model the porous medium and is solved by Laplace's transform technique. An analytical expression for the electrophoretic velocity of the spherical particle is obtained in Laplace transform domain as a function of the relevant parameters, and its inversion is obtained through numerical techniques. Also, in this study, the steady-state electrophoretic velocity is obtained analytically as linear functions of ζ -potential (or surface density charge) and the fixed charge density. The steady-state electrophoretic velocity is displayed graphically for various relevant parameters and compered with the available data in the literature. Also, the numerical values of the transient electrophoretic velocity are plotted versus the nondimensional elapsed time and discussed for different values of the Debye length parameter, density ratio, permeability of the porous medium, and for high and nonconducting particles.
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Affiliation(s)
- H H Sherief
- Faculty of Science, Department of Mathematics and Computer Science, Alexandria University, Alexandria, 21568, Egypt
| | - M S Faltas
- Faculty of Science, Department of Mathematics and Computer Science, Alexandria University, Alexandria, 21568, Egypt
| | - Kareem E Ragab
- Faculty of Science, Department of Mathematics and Computer Science, Alexandria University, Alexandria, 21568, Egypt
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2
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Allison S, Li F, Le M. Electrophoretic Mobility of a Dilute, Highly Charged “Soft” Spherical Particle in a Charged Hydrogel. J Phys Chem B 2016; 120:8071-9. [DOI: 10.1021/acs.jpcb.5b12224] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Stuart Allison
- Department
of Chemistry, Georgia State University, Atlanta, Georgia 30302-3965, United States
| | - Fei Li
- Department
of Chemical and Biomolecular Engineering, The Hong Kong University of Science and Technology, Hong Kong, P. R. China
| | - Melinda Le
- Department
of Chemistry, Georgia State University, Atlanta, Georgia 30302-3965, United States
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de la Torre JG, Hernández Cifre JG, Ortega Á, Schmidt RR, Fernandes MX, Pérez Sánchez HE, Pamies R. SIMUFLEX: Algorithms and Tools for Simulation of the Conformation and Dynamics of Flexible Molecules and Nanoparticles in Dilute Solution. J Chem Theory Comput 2009; 5:2606-18. [DOI: 10.1021/ct900269n] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- José García de la Torre
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - José G. Hernández Cifre
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - Álvaro Ortega
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - Ricardo Rodríguez Schmidt
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - Miguel X. Fernandes
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - Horacio E. Pérez Sánchez
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
| | - R. Pamies
- Departamento de Química Física, Facultad de Química Universidad de Murcia, 30071 Murcia, Spain, Centro de Química da Madeira, Universidade da Madeira, 9000-390 Funchal, Portugal, Forschungszentrum Karlsruhe GmbH, Institut für Nanotechnologie, D-76021 Karlsruhe, Germany, and Department of Physical Chemistry, University of Oslo, Oslo, Norway
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7
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Pei H, Allison S, Haynes BMH, Augustin D. Brownian Dynamics Simulation of the Diffusion of Rods and Wormlike Chains in a Gel Modeled as a Cubic Lattice: Application to DNA. J Phys Chem B 2008; 113:2564-71. [DOI: 10.1021/jp803505t] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hongxia Pei
- Department of Chemistry, Georgia State University, P.O. Box 4098, Atlanta, Georgia 30302-4098
| | - Stuart Allison
- Department of Chemistry, Georgia State University, P.O. Box 4098, Atlanta, Georgia 30302-4098
| | - Bridgette M. H. Haynes
- Department of Chemistry, Georgia State University, P.O. Box 4098, Atlanta, Georgia 30302-4098
| | - Daphne Augustin
- Department of Chemistry, Georgia State University, P.O. Box 4098, Atlanta, Georgia 30302-4098
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