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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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Submitted on : Monday, July 23, 2018 - 10:40:31 AM
Last modification on : Wednesday, November 9, 2022 - 3:48:38 AM
Long-term archiving on: : Wednesday, October 24, 2018 - 1:29:03 PM


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Benoit Noetinger, Laurène Hume, Robin Chatelin, Philippe Poncet. Effective viscosity of a random mixture of fluids. Physical Review Fluids, 2018, 3 (1), pp.014103. ⟨10.1103/PhysRevFluids.3.014103⟩. ⟨hal-01847035⟩



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