Geodesic
Anisotropic transport of dielectric particles by a uniform electric field in an inhomogeneously heated viscous fluid
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 25 (2023) no. 2, pp. 53-61

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The anisotropic transfer of dielectric particles by a uniform electric field in a nonuniformly heated fluid is modeled. The transport anisotropy is determined by the mechanism of interaction between particles whose permittivity depends on temperature. The temperature distribution in the particles and in the fluid is determined by their thermal diffusivity and does not depend on the motion of the fluid, thus corresponding to small Peclet numbers. The fluid flow is considered in the approximation of small Reynolds numbers. The transfer of particles is due to the action of an anisotropic force exerted by applied uniform electric field and friction forces exerted by the fluid. The interaction of particles is taken into account. Numerical modeling of anisotropic transport dynamics of two dielectric particles is carried out. The process mentioned depends on the mutual orientation of electric field vector, temperature gradient, and initial orientation of the vector connecting the particle centers. For the case of a large number of particles, an anisotropic equilibrium distribution of the particle concentration in an external electric field is found taking into account the mechanisms of their diffusion and interaction.
Mots-clés : dielectric particles
Keywords: electric field, temperature gradient, interaction, displacement anisotropy 
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     title = {Anisotropic transport of dielectric particles by a uniform electric field in an inhomogeneously heated viscous fluid},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {53--61},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/SVMO_2023_25_2_a3/}
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S. I. Martynov. Anisotropic transport of dielectric particles by a uniform electric field in an inhomogeneously heated viscous fluid. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 25 (2023) no. 2, pp. 53-61. http://geodesic.mathdoc.fr/item/SVMO_2023_25_2_a3/