The slow motion of a single gas bubble in a non-Newtonian fluid containing surfactants. (English) Zbl 0976.76007

From the summary: We calculate the drag force experienced by bubbles rising freely in an inelastic shear-thinning fluid. In particular, we consider the effect of contaminants when the continuous phase can be represented by power-law or three-parameter Carreau models. Two cases are examined in order to take into account the effect of surfactants: (a) interfacial mass transfer is taken into account via a perturbation around the thermodynamic equilibrium values using Gibbs elasticity, and (b) a continuous distribution of impurities over the whole interface (uniform retardation) leading to Marangoni stresses. The relations obtained are based on perturbation methods around the Newtonian solution.


76A05 Non-Newtonian fluids
76T10 Liquid-gas two-phase flows, bubbly flows
80A20 Heat and mass transfer, heat flow (MSC2010)
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