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On the role of surface rheology in a two-phase MHD flow

Abstract : In this thesis work, a first approach towards the description of magnetohydrodynamic(MHD) multiphase flows is proposed, based on the investigation of the role of surface rheologyin permanent regime. The study of the coupling between bulk MHD and surface rheology is particularlymotivated by the development of an annular surface viscometer devoted to liquid metalstopped with an oxidation layer. First, theoretical foundations of MHD and of surface rheologyare separately introduced. The modelling brings out a strong coupling between bulk and surfacevelocities, the latter being dependent on two interfacial parameters: the surface shear and dilatationalviscosities. Their respective influence is analytically and numerically investigated in the caseof a permanent annular (stratified) MHD end-driven flow. In the considered geometry, a vertical(uniform) magnetic field is imposed, perpendicular to the gradually oxidising liquid surface. Thecontribution of planar surface viscous stresses to the possible electrical activation of Hartmannlayers is demonstrated, leading to a variety of atypical MHD flow patterns. The annular MHDviscometer is then developed as a first device able to perform selective measurement of the surfaceviscosities of electroconductive fluids. First experiments lead to an estimated value of the surfaceshear viscosity for a liquid alloy (GaInSn) at room temperature. Some hints are finally given to investigatethe study case of aMHDflow past a rigid fluid sphere, with varying interfacial conditionsgoverned by surface rheology, as an additionalwork constituting a first step towards the descriptionof dispersed MHD flows.
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Jules Delacroix. On the role of surface rheology in a two-phase MHD flow. Fluids mechanics [physics.class-ph]. Université Grenoble Alpes, 2015. English. ⟨NNT : 2015GREAI084⟩. ⟨tel-01968054⟩

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