Rayleigh-Bénard convection in non-Newtonian fluids: Experimental and theoretical investigations
Résumé
We present an experimental and theoretical study of Rayleigh-Bénard convection in shearthinning fluids with temperature dependent properties. Experiments were performed using a cylindrical cell of radiusR = 60 mm and height adjustable atd = 15 mm and 20 mm giving a radius-toheight ratio L = 4 and 3 respectively. The fluids used are glycerol (Newtonian fluid) and aqueous xanthan gum solutions (shear-thinning fluids) at 1000 ppm and 1200 ppm. Convection patterns are visualized by the shadowgraph method. In the theoretical part of this study, the weakly nonlinear analysis performed by Thomas Varé et al. [J. Fluid Mech. 905, A33(2020)] is extended to take
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