Mass transport in a porous microchannel for non‐<scp>N</scp>ewtonian fluid with electrokinetic effects

Mondal, Sourav; De, Sirshendu

doi:10.1002/elps.201200552

Cited by 20 publications

(12 citation statements)

References 30 publications

(29 reference statements)

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“…(7)) and approximate velocity profile (Eq. (18a)) shows that the profiles are close and <2% deviation [29,30].…”

Section: Description Of the Velocity Profile (Within Concentration Bomentioning

confidence: 87%

“…The boundary conditions in nondimensional form are represented as follows:

at x^{*} = 0; c^{*} = 1,

at y^{*} = 0; P e_{normalw} c_{m}^{*} R_{normalr} + 4 {(|, \frac{\partial c^{*}}{\partial y^{*}})}_{y^{*} = 0} = 0,

at y^{*} \to \infty; c^{*} = 1 .

The wall concentration

((), {c|}_{normaly = 0} = c_{m})

is related with real retention ( R r ) as:

R_{normalr} = 1 - \frac{c_{p}}{c_{m}} = 1 - \frac{c_{normalp}^{*}}{c_{normalm}^{*}} .

Equation can be solved using the similarity parameter . The concentration profile can be expressed in terms of the similarity parameter as: where the constant B is represented as .…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Analysis of the mass transport phenomena under the influence of external field for various solution rheology and channel geometry has already been studied . However, an interesting implication is observed in the situation of induced streaming potential.…”

Section: Introductionmentioning

confidence: 99%

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Mass transfer of a neutral solute in porous microchannel under streaming potential

Mondal

2013

Electrophoresis

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The mass transport of a neutral solute in a porous wall, under the influence of streaming field, has been analyzed in this study. The effect of the induced streaming field on the electroviscous effect of the fluid for different flow geometries has been suitably quantified. The overall electroosmotic velocity profile and expression for streaming field have been obtained analytically using the Debye-Huckel approximation, and subsequently used in the analysis for the mass transport. The analysis shows that as the solution Debye length increases, the strength of the streaming field and, consequently, the electroviscous effect diminishes. The species transport equation has been coupled with Darcy's law for quantification of the permeation rate across the porous wall. The concentration profile inside the mass transfer boundary layer has been solved using the similarity transformation, and the Sherwood number has been calculated from the definition. In this study, the variation of the permeation rate and solute permeate concentration has been with the surface potential, wall retention factor and osmotic pressure coefficient has been demonstrated for both the circular as well as rectangular channel cross-section.

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“…(7)) and approximate velocity profile (Eq. (18a)) shows that the profiles are close and <2% deviation [29,30].…”

Section: Description Of the Velocity Profile (Within Concentration Bomentioning

confidence: 87%

“…The boundary conditions in nondimensional form are represented as follows:

at x^{*} = 0; c^{*} = 1,

at y^{*} = 0; P e_{normalw} c_{m}^{*} R_{normalr} + 4 {(|, \frac{\partial c^{*}}{\partial y^{*}})}_{y^{*} = 0} = 0,

at y^{*} \to \infty; c^{*} = 1 .

The wall concentration

((), {c|}_{normaly = 0} = c_{m})

is related with real retention ( R r ) as:

R_{normalr} = 1 - \frac{c_{p}}{c_{m}} = 1 - \frac{c_{normalp}^{*}}{c_{normalm}^{*}} .

Equation can be solved using the similarity parameter . The concentration profile can be expressed in terms of the similarity parameter as: where the constant B is represented as .…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Mass transfer of a neutral solute in porous microchannel under streaming potential

Mondal

2013

Electrophoresis

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“…Bryce and Freeman (2010) experimentally showed that the viscoelasticity of a polymer solution may induce extensional instability in electroosmotic microflow at straight regions of microchannel. Evident electroosmotic applications of non-Newtonian fluids comprise liquid pumps (transport systems) in microfluidic systems (Mondal and De, 2013); micromixing (Cho and Chen, 2012; Hadigol et al , 2011) and heat transfer systems (Zhao and Yang, 2012; Cho et al , 2012; Chen, 2011; Sadeghi et al , 2011).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel

Ghorbani

Emamian

Ellahi

et al. 2021

HFF

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Purpose In this paper aims to investigate the numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel. Electromagnetic current is generated by applying an effective electric field in the direction of the current. Design/methodology/approach The non-Newtonian model used is the five-constant Carreau-Yasuda model which the non-Newtonian properties of the fluid can be well modeled. Using the finite difference method, the potential values at all points in the domain are obtained. Then, the governing equations (momentum conservation) and the energy equation are segregated and solved using a finite difference method. Findings In this paper, the effect of various parameters such as Weisenberg number, electrokinetic diameter, exponential power number on the velocity field and Brinkman and Pecklet dimensionless numbers on temperature distribution are investigated. The results show that increasing the Weissenberg dimensionless number and exponential power and diameter parameters reduces the maximum velocity field in the microchannel. Originality/value To the best of the authors’ knowledge, this study is reported for the first time.

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“…The resulting accumulation of the ions in the downstream section of the channel sets up its own electric field (streaming field), which generates the conduction current (I cond ), that flows back against the direction of the pressure-driven flow. Thus, the net ionic current (I ionic ) is the combination of the streaming current and conduction current [27]. Hence,…”

Section: Streaming Fieldmentioning

confidence: 99%

Mass transport in a porous microchannel for non‐Newtonian fluid with electrokinetic effects

Cited by 20 publications

References 30 publications

Mass transfer of a neutral solute in porous microchannel under streaming potential

Mass transfer of a neutral solute in porous microchannel under streaming potential

Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel

Pressure driven transport of neutral macro-solute in microchannel with porous wall at high surface potential

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