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Article Dans Une Revue Numerical Heat Transfer, Part A Applications Année : 2015

A Finite-Volume Method for Electro-Thermoconvective Phenomena in a Plane Layer of Dielectric Liquid

Résumé

This article presents a numerical algorithm for electro-thermoconvective phenomena in a dielectric liquid confined between two parallel plates. The liquid is under the simultaneous actions of a direct current electric field and a thermal gradient. Free charge carriers are considered to be introduced by unipolar injection. The fully coupled equations including a reduced set of Maxwell's equations, the Navier–Stokes equations, and the energy equation, together with the equations of state, are solved with a finite-volume method. A total variation-diminishing scheme is especially used to solve the convection-dominated charge density equation. The method is validated with four test cases that possess some analytical solutions. As an application example, we evaluate the heat transfer enhancement resulting from injection-induced electroconvection in a bounded cavity filled with silicone oil.
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Dates et versions

hal-03665173 , version 1 (11-05-2022)

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Jian Wu, Philippe Traoré. A Finite-Volume Method for Electro-Thermoconvective Phenomena in a Plane Layer of Dielectric Liquid. Numerical Heat Transfer, Part A Applications, 2015, 68 (5), pp.471-500. ⟨10.1080/10407782.2014.986410⟩. ⟨hal-03665173⟩
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