Three-Dimensional Computations of the Motion of a Newtonian Drop Rising through Immiscible Quiescent Shear-Thinning Liquids

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Three-dimensional direct numerical simulations of the motion of a Newtonian drop rising in Carreau–Yasuda model fluids were carried out by a coupled level-set/volume-of-fluid (CLSVOF) method. Our numerical approach simulated faithfully the physical shear-thinning properties and 3D-nonlinear dynamics that are observed in experiments. Three-dimensional computational results showed that the local change in viscosity around a drop greatly depended on the drop shape and the shear-thinning properties of the quiescent liquid. We quantitatively considered the drop rise motion based on the modified dimensionless numbers (ReM and MM) and the effective viscosity.

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