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

where

dynamic viscosity of fluid mixture 

dynamic viscosity of the 1st fluid component

dynamic viscosity of the 2nd fluid component

empirical model parameter

mole fraction of the 1st fluid component

mole fraction of the 2nd fluid component


The empirical parameter  can be fitted to lab 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