Simplification of the kinetic theory (Chapman and Enskog theory)
approach neglecting the second-order effects.
This equation has been extensively tested (Amdur and Mason, 1958;
Bromley and Wilke, 1951; Cheung, 1958; Dahler, 1959; Gandhi and
Saxena, 1964; Ranz and Brodowsky, 1962; Saxena and Gambhir, 1963a;
Strunk, et al., 1964; Vanderslice, et al. 1962; Wright and Gray,
1962). In most cases, only nonpolar mixtures were compared, and
very good results obtained. For some systems containing hydrogen as
one component, less satisfactory agreement was noted. Wilke's
method predicted mixture viscosities that were larger than
experimental for the H2-N2 system, but for H2-NH3, it
underestimated the viscosities.
Gururaja, et al. (1967) found that this method also overpredicted
in the H2-O2 case but was quite accurate for the H2-CO2
system.
Wilke's approximation has proved reliable even for polar-polar gas
mixtures of aliphatic alcohols (Reid and Belenyessy, 1960). The
principal reservation appears to lie in those cases where
Mi>>Mj and etai>>etaj.
function gasMixtureViscosity extends Modelica.Icons.Function; input MoleFraction[:] yi "Mole fractions"; input MolarMass[size(yi, 1)] M "Mole masses"; input DynamicViscosity[size(yi, 1)] eta "Pure component viscosities"; output DynamicViscosity etam "Viscosity of the mixture"; end gasMixtureViscosity;