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(1) \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

\mu_{12}

dynamic viscosity of fluid mixture 

\mu_1

dynamic viscosity of the 1st fluid component

\mu_2

dynamic viscosity of the 2nd fluid component

\epsilon, \, K_1, \, K_2

empirical model parameters

x_1

mole fraction of the 1st fluid component

x_2

mole fraction of the 2nd fluid component


The empirical parameters \epsilon, \, K_1, \, K_2 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.

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