The acquisition and transfer of knowledge of electrokinetic-hydrodynamics (EKHD) fundamentals: an introductory graduate-level course

Pascal, Jennifer; Tíjaro-Rojas, Rocío; Oyanader, Mario A.; Arce, P.

doi:10.1080/03043797.2016.1192111

Cited by 3 publications

(7 citation statements)

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“…The assumptions above will be employed to develop microscopic governing equations for the "fluid problem," i.e., the electrostatics and hydrodynamics of the buffer solution flow, through a systematic approach called "electrokinetic hydrodynamics," or EKHD, that links the two domains in the system under study (i.e., "solute" and "fluid" or buffer domains) ( [15,16]). EKHD emphasizes scaling and involves a series of steps which can be used to obtain upscaled model equations for the electrostatics and hydrodynamics of the system (fluid domain) and by utilizing the spatial averaging technique to connect them with upscaled microscopic 4 International Journal of Polymer Science models such as the species continuity equation (solute domain) (Cwirko and Carbonell [28]; Paine et al [29]; Slattery [30]; Whitaker [31]; Zanotti and Carbonell [32][33][34]).…”

Section: Problem Formulation: General Framework and Methodologymentioning

confidence: 99%

“…The current contribution examines the role of the same pore geometry, also with a rectangular diverging pore from an analytical point of view, i.e., a continuously axially varying cross section of the gel-pore domain (linear fashion) and its effect on the prediction of optimal separation times coupled with an orthogonal applied electrical field (constant). Through the use of the methodology known as "electrokinetic hydrodynamics," or EKHD [15,16], the relevant physics of the motion of the biomolecule inside the gel matrix is captured based on microscopic differential models of the gel-pore domain. Then, the model is upscaled to the macropore level by using the spatial-averaging method, a scaling technique, in conjunction with the fundamental principles of electrostatics and hydrodynamics.…”

mentioning

confidence: 99%

“…Next, an overview of the related literature and remarks where this contribution differentiates from others is presented in Section 2. The formulation of the socalled fluid problem [15,16] is introduced in Section 3 and its subsections on electrostatics and hydrodynamic aspects. The "solute problem" equations are developed in Section 4, and the upscaling of the model is performed here leading to the effective diffusivity and effective mobility.…”

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confidence: 99%

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Understanding Collaborative Effects between the Polymer Gel Structure and the Applied Electrical Field in Gel Electrophoresis Separation

Pascal

Medidhi

Oyanader

et al. 2019

International Journal of Polymer Science

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The collaborative effects between an applied orthogonal electrical field and the internal structure of polymer gels in gel electrophoresis is studied by using microscopic-based electrophoretic transport models that then are upscaled via the format of electro kinetics-hydrodynamics (EKHD). The interplay of the electrical field and internal gel morphology could impact the separation of biomolecules that, because of similar chemical properties, are usually difficult to separate. In this study, we focus on an irregular pore geometry of the polymer-gel structure by using an axially varying pore (i.e., an axially divergent section) and an orthogonal (to the main flow of solutes) applied electrical field. The microscopic-based conservation of species equation is formulated for the standard case of electrophoresis of charged particles within a geometrical domain, i.e., a pore, and upscaled to obtain macroscopic-based diffusion and mobility coefficients. These coefficients are then used in the calculation of the optimal time of separation to study the effect of the varying parameters of the pore structure under different values of the electrical field. The results are qualitatively consistent with those reported, in the literature, by using computational-based approaches as well as with experiments also reported in the literature, previously. The study shows the important collaborative effects between the applied electrical field and the internal geometry of the polymer gels that could lead to improving biomolecule separation in gel electrophoresis.

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Section: Problem Formulation: General Framework and Methodologymentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Understanding Collaborative Effects between the Polymer Gel Structure and the Applied Electrical Field in Gel Electrophoresis Separation

Pascal

Medidhi

Oyanader

et al. 2019

International Journal of Polymer Science

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“…The formulation and solution of the hydrodynamic problem, including the calculation of the velocity profile, follows the Systematic and Integrative Sequence Approach (SISA) for mastery learning [23] that consists of the following key steps:…”

Section: Formulation Of the Hydrodynamic Modelmentioning

confidence: 99%

“…This relation leads to the fact that Equation 16is a function of Joule heating and constant C 1 and C 2 , of which are functions of the R and Nu numbers. C 1 and C 2 are given by Equations (23) and (24). This transformation gives the following modified Navier-Stokes equation as a function of the Grashof number, Gr, the Joule heating number, Φ 2 , and the medium temperature Θ that will be determined later in Section 5 (see below):…”

Section: Solution and Obtaining The Velocity Profile Equationmentioning

confidence: 99%

Joule Heating Effects in Electrokinetic Remediation: Role of Non-Uniform Soil Environments: Temperature Profile Behavior and Hydrodynamics

et al. 2018

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Electrokinetic remediation is a process in which a low-voltage direct-current electric field is applied across a section of contaminated soil to remove contaminants. In this work, the effect of Joule heating on the heat transfer and hydrodynamics aspects in a non-uniform environment is simulated. The proposed model is based on a rectangular capillary with non-symmetrical heat transfer conditions similar to those found in non-uniform soil environments. The mathematical and microscopic model described here uses two key parameters in addition to the Nusselt number: the ratio between the Nusselt numbers calculated at both walls of the capillary, named R, and a function of this variable and the Nusselt number, indicated by F(R, Nu). Illustrations describing the five key regimens for the system behavior are presented in terms of ranges for R and F(R, Nu) values, which indicate the key role of the parameter R in controlling the behaviors of the temperature and velocity profiles. Prediction, analysis, and illustration of five different regimes of flow complete the study, and conclusions are given to illustrate how the behavior of the system is affected.

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Using Ongoing Laboratory Problems as Active Learning Research Projects in Transport Phenomena

Hansen¹

2021

Chem. Eng. Ed.

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He received his B.S. in chemical engineering from the Colorado School of Mines (2001) and his Ph.D. in chemical engineering from the University of Colorado (2008). His research focuses on soft material interfaces and lab-on-a-chip systems for separation and characterization of microorganisms. Audrey Anderson received her B.S. in chemical engineering from Kansas State University in 2018. She was an undergraduate research assistant and transport phenomena teaching assistant for Dr. Ryan Hansen during the time of this study.Niloy Barua is a Ph.D. student in the Hansen lab. He is currently developing a lab-on-a-chip platform for the study of microbial interactions.

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The acquisition and transfer of knowledge of electrokinetic-hydrodynamics (EKHD) fundamentals: an introductory graduate-level course

Cited by 3 publications

References 73 publications

Understanding Collaborative Effects between the Polymer Gel Structure and the Applied Electrical Field in Gel Electrophoresis Separation

Understanding Collaborative Effects between the Polymer Gel Structure and the Applied Electrical Field in Gel Electrophoresis Separation

Joule Heating Effects in Electrokinetic Remediation: Role of Non-Uniform Soil Environments: Temperature Profile Behavior and Hydrodynamics

Using Ongoing Laboratory Problems as Active Learning Research Projects in Transport Phenomena

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