getMixtureLambda

Chemical Reactor Design Toolbox Reference Manual

ChemReactorDesign.Basic.Gas.Functions.getMixtureLambda

The heat conductivity of the gas mixture is calculated according to the Wassiljevailke equation (Robert C. Reid and John M. Prausnitz and Thomas K. Sherwood, 1977).

\begin{equation*}
{\overline \lambda} = \sum_{i}^{N} \frac{x_{i} \, \lambda_{i}}
{\sum\limits_{j}^{N} x_{i} \, \Phi_{ij}}
\end{equation*}

mit

\begin{equation*}
\Phi_{ij} = 
\frac{\left[ 1 + \sqrt{\frac{\mu_{i}}{\mu_{j}}} \, \left(
\frac{M_{i}}{M_{j}}\right)^{1/4} \right]^{2}}
{\sqrt{8 \, \left(1 + \frac{M_{i}}{M_{j}} \right)}}
\end{equation*}

Nomenclature

\(M_{i}\) molar mass of species Ai
\(\mu_{i}\) viscosity of species Ai
\(\lambda_i\) heat conductivity of species Ai
\(x_{i}\) mole fraction of species Ai

Bibliography

Robert C. Reid and John M. Prausnitz and Thomas K. Sherwood (1977). The Properties of Gases and Liquids, Mc Graw-Hill Book Company.