\ln {\mu}_{12} = \frac{x_1}{x_1 + \alpha \, x_2} \cdot \ln {\mu}_1 +  \frac{\alpha \, x_1}{x_1 + \alpha \,x_2}  \cdot \ln {\mu}_2 

The empirical parameter  can be fitted on experimental data.

For it reduces to Arrhenius equation.

See also

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

References

1. E.L.Lederer,ZurTheorie derViskositätvonFlüssigkeiten,KolloidBeihefte34(1932)270-338.

2. M.Roegiers,(Sr.),L.Roegiers,Laviscositédes mélanges de fluidesnormaux,Sociétédes Huiles deCavel & Roegiers,S.A.,Gand,1946.

3. M.Roegiers,(Sr.),Discussionofthefundamental equationofviscosity,Industrial LubricationandTribology3(1951)27-29.Lube 121.indd 2713/05/2014 09:53