Effects of non-Newtonian power law rheology on mass transport of a neutral solute for electro-osmotic flow in a porous microtube

Mondal, Sourav; De, Sirshendu

doi:10.1063/1.4817770

Cited by 18 publications

(22 citation statements)

References 61 publications

(54 reference statements)

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“…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%

“…The analysis has been carried out for low surface potential in the limit of Debye–Huckel approximation to obtain complete analytical solution of the streaming potential as well as the mass transport behavior in terms of Sherwood number. The species transport equation is coupled with Darcy's law of solvent flux across a porous wall to obtain the permeate concentration including the effect of solution osmotic pressure by the neutral solute . The partial differential equation invoking the linearized velocity profile has been solved using the technique of similarity solution .…”

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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“…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%

Section: Introductionmentioning

confidence: 99%

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 combination of parameters in the region below the curves in Figure 5 corresponds to fluid flow in the direction of decreasing hydrodynamic pressure, while the region above the curves is in the direction of increasing hydrodynamic pressure, which is a manifestation of backflow. A similar situation, in which a net zero fluid flow rate can be observed, is in electro-osmotic flows, for a critical electrical field strength that exactly balances the hydrodynamic driving pressure [31]. The results in Figure 5 provide quantitative estimates for the onset of flow reversal for a specific choice of parameters.…”

Section: Comparison Of the Flow And No-flow Situationmentioning

confidence: 63%

Flow and Nematic Director Profiles in a Microfluidic Channel: The Interplay of Nematic Material Constants and Backflow

Mondal

Griffiths

Charlet

et al. 2018

Fluids

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Abstract:We numerically and analytically study the flow and nematic order parameter profiles in a microfluidic channel, within the Beris-Edwards theory for nematodynamics, with two different types of boundary conditions-strong anchoring/Dirichlet conditions and mixed boundary conditions for the nematic order parameter. We primarily study the effects of the pressure gradient, the effects of the material constants and viscosities modelled by a parameter L 2 and the nematic elastic constant L * , along with the effects of the choice of the boundary condition. We study continuous and discontinuous solution profiles for the nematic director and these discontinuous solutions have a domain wall structure, with a layered structure that offers new possibilities. Our main results concern the onset of flow reversal as a function of L * and L 2 , including the identification of certain parameter regimes with zero net flow rate. These results are of value in tuning microfluidic geometries, boundary conditions and choosing liquid crystalline materials for desired flow properties.

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“…This approach allows a fine tuning of the wall thickness and leads to the formation of compact and smooth surfaces. On the other hand, the fabrication of nanoporous microtubes is desirable because of the enhanced capillarity properties and the specific surface properties, which lead to potential applications in MEMS for fluid transportation or sensing [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Nanoporous Microtubes via Oxidation and Reduction of Cu–Ni Commercial Wires

Marano¹,

Castellero²,

Baricco³

2017

Metals

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Metallic porous microtubes were obtained from commercial wires (200-250 µm diameter) of Cu-65Ni-2Fe, Cu-44Ni-1Mn and Cu-23Ni, alloys (wt. %) by surface oxidation at 1173 K in air, removal of the unoxidized core by chemical etching, and reduction in annealing in the hydrogen atmosphere. Transversal sections of the partially oxidized wires show a porous layered structure, with an external shell of CuO (about 10 µm thick) and an inner layer of NiO (70-80 µm thick). In partially oxidized Cu-44Ni-1Mn and Cu-23Ni, Cu 2 O is dispersed in NiO because the maximum solubility of Cu in NiO is exceeded, whereas in Cu-65Ni-2Fe, a Cu 2 O shell is present between CuO and NiO layers. Chemical etching removed the unoxidized metallic core and Cu 2 O with formation of porous oxide microtubes. Porosity increases with Cu content because of the larger amount of Cu 2 O in the partially oxidized wire. After reduction, the transversal sections of the metallic porous microtubes show a series of f.c.c.-(Cu,Ni) solid solutions with different compositions, due to the segregation of CuO and NiO during oxidation caused by the different diffusion coefficients of Ni and Cu in the respective oxides. Pore formation occurs at each step of the process because of the Kirkendall effect, selective phase removal and volume contraction.

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Effects of non-Newtonian power law rheology on mass transport of a neutral solute for electro-osmotic flow in a porous microtube

Cited by 18 publications

References 61 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

Flow and Nematic Director Profiles in a Microfluidic Channel: The Interplay of Nematic Material Constants and Backflow

Nanoporous Microtubes via Oxidation and Reduction of Cu–Ni Commercial Wires

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