Thermocharge of a hot spot in an electrolyte solution

Majee, Arghya; Würger, Aloïs

doi:10.1039/c2sm26680f

Cited by 31 publications

(31 citation statements)

References 42 publications

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“…In this sense, thermodiffusion, ionic diffusivities and thermodiffusion coefficients are not taken into account in this analysis. For a further discussion about these issues, see [ 23 , 24 , 25 , 26 , 27 ] and the references cited therein. Finally, (v) viscous dissipation is neglected in comparison with the Joule heating effect [ 28 , 29 ].…”

Section: Theoretical Modelmentioning

confidence: 99%

Interfacial Electric Effects on a Non-Isothermal Electroosmotic Flow in a Microcapillary Tube Filled by Two Immiscible Fluids

2017

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In this work, a non-isothermal electroosmotic flow of two immiscible fluids within a uniform microcapillary is theoretically studied. It is considered that there is an annular layer of a non-Newtonian liquid, whose behavior follows the power-law model, adjacent to the inside wall of the capillary, which in turn surrounds an inner flow of a second conducting liquid that is driven by electroosmosis. The inner fluid flow exerts an interfacial force, dragging the annular fluid due to shear and Maxwell stresses at the interface between the two fluids. Because the Joule heating effect may be present in electroosmotic flow (EOF), temperature gradients can appear along the microcapillary, making the viscosity coefficients of both fluids and the electrical conductivity of the inner fluid temperature dependent. The above makes the variables of the flow field in both fluids, velocity, pressure, temperature and electric fields, coupled. An additional complexity of the mathematical model that describes the electroosmotic flow is the nonlinear character due to the rheological behavior of the surrounding fluid. Therefore, based on the lubrication theory approximation, the governing equations are nondimensionalized and simplified, and an asymptotic solution is determined using a regular perturbation technique by considering that the perturbation parameter is associated with changes in the viscosity by temperature effects. The principal results showed that the parameters that notably influence the flow field are the power-law index, an electrokinetic parameter (the ratio between the radius of the microchannel and the Debye length) and the competition between the consistency index of the non-Newtonian fluid and the viscosity of the conducting fluid. Additionally, the heat that is dissipated trough the external surface of the microchannel and the sensitivity of the viscosity to temperature changes play important roles, which modify the flow field.

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Section: Theoretical Modelmentioning

confidence: 99%

Interfacial Electric Effects on a Non-Isothermal Electroosmotic Flow in a Microcapillary Tube Filled by Two Immiscible Fluids

2017

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“…49-63]. The Seebeck coefficient has values in the range 10 −5 − 10 −4 V·K −1 [26]. The parameters, Π # , and (D ′ i ) # (i = Na + , Cl − ), are according to, respectively, the first Kelvin relation, and the Onsager reciprocal relationship.…”

Section: Electrolysis Of Molten Sodium Chloridementioning

confidence: 99%

Sufficient conditions for the existence of solutions for a thermoelectrochemical problem

Consiglieri¹

2015

J. Fixed Point Theory Appl.

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Abstract. A mathematical model is introduced for thermoelectrochemical phenomena in an electrolysis cell, and its qualitative analysis is focused on existence of solutions. The model consists of a system of nonlinear parabolic PDEs in conservation form expressing conservation of energy, mass and charge. On the other hand, an integral form of Newton's law is used to describe heat exchange at the electrolyte/electrode interface, a nonlinear radiation condition is enforced on the heat flux at the wall and a nonlinear boundary condition is considered for the electrochemical flux in order to account for Butler-Volmer kinetics. The main objective is the nonconstant character of each parameter, that is, the coefficients are assumed to be dependent on the spatial variable and the temperature. Making recourse of known estimates of solutions for some auxiliary elliptic and parabolic problems, which are explicitly determined by the Gehring-Giaquinta-Modica theory, we find sufficient smallness conditions on the data to guarantee the existence of the original solutions via the Schauder fixed point argument. These conditions may provide useful informations for numerical as well as real applications. We conclude with an example of application, namely the electrolysis of molten sodium chloride.

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“…The theoretical model for determining the self‐thermophoretic velocity of a light‐irradiated polarizable Janus spheroid, is based on expressing the surface induced slip ‐velocity in terms of the Seebeck thermoelectric effect and on Fair & Anderson expression for the phoretic velocity of a spheroidal particles whose dimension is large compared with the surrounding Debye layer in the electrolyte. A similar expression has been used by Popescu et al.…”

Section: Introductionmentioning

confidence: 99%

Light‐induced self‐thermophoresis of Janus spheroidal nanoparticles

Miloh

Nagler

2018

Electrophoresis

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A theoretical framework is provided for determining the self-thermophoretic velocity of a light irradiated spheroidal Janus nanoparticle consisting of symmetric dielectric and perfectly conducting semi-spheroids. The analysis is based on solving the linearized Joule heating problem due to uniform laser irradiance and on explicitly determining the temperature fields inside and outside the particle. We employ the thermoelectric (Peltier- Seebeck) methodology to find the surface self - induced temperature gradient and the related slip velocity which determines the autonomous phoretic (self - propulsion) mobility of the Janus particle. Simplified explicit expressions for the self - thermophoretic velocities of spheroidal (prolate and oblate) Janus particles in terms of their aspect ratios are found and few practical limiting cases (i.e., sphere, disk and needle) are also discussed.

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Thermocharge of a hot spot in an electrolyte solution

Cited by 31 publications

References 42 publications

Interfacial Electric Effects on a Non-Isothermal Electroosmotic Flow in a Microcapillary Tube Filled by Two Immiscible Fluids

Interfacial Electric Effects on a Non-Isothermal Electroosmotic Flow in a Microcapillary Tube Filled by Two Immiscible Fluids

Sufficient conditions for the existence of solutions for a thermoelectrochemical problem

Light‐induced self‐thermophoresis of Janus spheroidal nanoparticles

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