Instabilité thermoconvective de Rayleigh-Bénard pour des fluides rhéofluidifiants

Abstract : This study concerns the Rayleigh-Bénard thermoconvective instability for purely viscous shear-thinning fluids, i.e. fluids for which the viscosity decreases non linearly with increasing the shear rate. The aim is to examine the shear-thinning effects on : (i) the nature of the bifurcation, (ii) the intensity of convection and (iii) the viscosity field far from the onset. Two types of boundary conditions are considered at the wall-fluid interface : adhesion and slipping with or without friction. A weakly non linear approach is adopted. The rheological behaviour of the fluid is described by Carreau model. We show that : (i) slipping leads to lower critical Rayleigh numbers and larger convective structures ; (ii) shear-thinning favors a subcritical bifurcation ; (iii) the heat transfer coefficient increases with increasing shear-thinning effects.
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Master thesis
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http://docnum.univ-lorraine.fr/public/BUS_M_2012_KALCK_AURELIE.pdf
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Aurélie Kalck. Instabilité thermoconvective de Rayleigh-Bénard pour des fluides rhéofluidifiants. Génie des procédés. 2012. ⟨hal-01869144⟩

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