WOLFRAM SYSTEM MODELER

mixtureViscosityChung

Return the viscosity of gas mixtures without access to component viscosities (Chung, et. al. rules)

Wolfram Language

In[1]:=
SystemModel["Modelica.Media.IdealGases.Common.MixtureGasNasa.mixtureViscosityChung"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Equation to estimate the viscosity of gas mixtures at low pressures.
It is a simplification of an extension of the rigorous kinetic theory of Chapman and Enskog to determine the viscosity of multicomponent mixtures, at low pressures and with a factor to correct for molecule shape and polarity.

The input argument Kappa is a special correction for highly polar substances such as alcohols and acids.
Values of kappa for a few such materials:

Compound
Kappa
Compound
Kappa
Methanol
0.215
n-Pentanol
0.122
Ethanol
0.175
n-Hexanol
0.114
n-Propanol
0.143
n-Heptanol
0.109
i-Propanol
0.143
Acetic Acid
0.0916
n-Butanol
0.132
Water
0.076
i-Butanol
0.132

Chung, et al. (1984) suggest that for other alcohols not shown in the table:
    
    kappa = 0.0682 + 4.704*[(number of -OH groups)]/[molecular weight]

S.I. units relation for the debyes: 
                                                       1 debye = 3.162e-25 (J.m^3)^(1/2)

References

[1] THE PROPERTIES OF GASES AND LIQUIDS, Fifth Edition,
          Bruce E. Poling, John M. Prausnitz, John P. O'Connell.
[2] Chung, T.-H., M. Ajlan, L. L. Lee, and K. E. Starling: Ind. Eng. Chem. Res., 27: 671 (1988).
[3] Chung, T.-H., L. L. Lee, and K. E. Starling; Ing. Eng. Chem. Fundam., 23: 3 ()1984).

Syntax

etaMixture = mixtureViscosityChung(T, Tc, Vcrit, w, mu, MolecularWeights, y, kappa)

Inputs (8)

T

Type: Temperature (K)

Description: Temperature

Tc

Type: Temperature[nX] (K)

Description: Critical temperatures

Vcrit

Type: MolarVolume[nX] (m³/mol)

Description: Critical volumes (m3/mol)

w

Type: Real[nX]

Description: Acentric factors

mu

Type: Real[nX]

Description: Dipole moments (debyes)

MolecularWeights

Type: MolarMass[nX] (kg/mol)

Description: Molecular weights (kg/mol)

y

Type: MoleFraction[nX] (mol/mol)

Description: Molar Fractions

kappa

Default Value: zeros(nX)

Type: Real[nX]

Description: Association Factors

Outputs (1)

etaMixture

Type: DynamicViscosity (Pa⋅s)

Description: Mixture viscosity (Pa.s)