\ln {\mu}_{12} = x_1 \cdot \ln {\mu}_1 + x_2 \cdot \ln {\mu}_2 + \epsilon \, x_1 \, x_2 + K_1 \, x_1 \, x_2 \, (x_1 - x_2) + K_2 \, x_1 \, x_2 \, (x_1 - x_2)^2

where

dynamic viscosity of fluid mixture 

dynamic viscosity of the 1st fluid component

dynamic viscosity of the 2nd fluid component

empirical model parameters

mole fraction of the 1st fluid component

mole fraction of the 2nd fluid component


The empirical parameters can be fitted to lab data.

See also


Physics / Fluid Dynamics / Fluid Mixing Rules / Mixing Rules for Viscosity


Reference


S.L. Oswal,H.S. Desai, Studies of viscosity and excess molar volume of binary mixtures. Fluid Phase Equilibria 149(1998) 359-376.