(1)	$\begin{array}{l}\displaystyle \ln {\mu}_{12} = \frac{x_1}{x_1 + \alpha \, x_2} \cdot \ln {\mu}_1 + \frac{\alpha \, x_2}{x_1 + \alpha \,x_2} \cdot \ln {\mu}_2\end{array}$

where

$\begin{array}{l}\mu_{12}\end{array}$	dynamic viscosity of fluid mixture	$\begin{array}{l}\mu_1\end{array}$	dynamic viscosity of the 1^st fluid component	$\begin{array}{l}\mu_2\end{array}$	dynamic viscosity of the 2^nd fluid component
$\begin{array}{l}\alpha\end{array}$	empirical model parameter	$\begin{array}{l}x_1\end{array}$	mole fraction of the 1^st fluid component	$\begin{array}{l}x_2\end{array}$	mole fraction of the 2^nd fluid component

The empirical parameter $\begin{array}{l}\alpha\end{array}$ can be fitted to lab data.

For $\begin{array}{l}\alpha = 1\end{array}$ it reduces to Arrhenius equation.

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

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