Effective viscosity of a random mixture of fluids

Benoit Noetinger (1) , Laurène Hume (2) , Robin Chatelin (3) , Philippe Poncet (2)

1 IFPEN - IFP Energies nouvelles
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
3 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

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.

Domains: Physics [physics]

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⟩