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\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 |
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where
| dynamic viscosity of fluid mixture |
| dynamic viscosity of the 1st fluid component |
| dynamic viscosity of the 2nd fluid component | ||||||||||||
| mole fraction of the 1st fluid component |
| mole fraction of the 2nd fluid component |
The most straightforward generalization is provided by Lederer-Roegiers alpha = 1 it reduces to Arrhenius equation.
See also
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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