Effective viscosity of a random mixture of fluids

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...

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Bibliographic Details
Published in:Physical review fluids 2018-01, Vol.3 (1), Article 014103
Main Authors: Noetinger, Benoît, Hume, Laurène, Chatelin, Robin, Poncet, Philippe
Format: Article
Language:English
Subjects:
Physics
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Summary: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.
ISSN:2469-990X
2469-990X
DOI:10.1103/PhysRevFluids.3.014103