Effective viscosity of a random mixture of fluids

Abstract : We propose an estimation of the effective viscosity of a random mixture of Newtonian fluids that ignores capillary effects. The local viscosity of the mixture is assumed to be a random function of the position. Using perturbation expansions up to the second order, the resulting formula can be recast under the form of a simple power averaging mixing low. Numerical tests are used to assess the validity of the formula and the range of its applicability.
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Benoit Noetinger, Laurène Hume, Robin Chatelin, Philippe Poncet. Effective viscosity of a random mixture of fluids. Physical Review Fluids, American Physical Society, 2018, 3 (1), pp.014103. ⟨10.1103/PhysRevFluids.3.014103⟩. ⟨hal-01847035⟩

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