In the analysis of combustion problems and other multicomponent reacting systems, it is important to account for the relevant transport properties of the reacting mixture. This Demonstration is concerned with computing the ordinary diffusion coefficients of a mixture. The thermal diffusion coefficients, which describe the Soret effect, are not considered.
For an ideal gas mixture, the general expression for the ordinary diffusion flux of species
in a mixture of
is the molecular weight of species
is the mixture molecular weight,
are the ordinary diffusion coefficients for the mixture, and
are the species mole fractions. The ordinary diffusion coefficients for the mixture can be determined from the kinetic theory of gases ( and ), and are given by
where the components
are elements of the matrix
. The components of the
matrix are given by
are the binary diffusion coefficients. These coefficients can be predicted from the kinetic theory of gases, using the Chapman–Enskog theory with a Lennard–Jones (6-12) potential  and .
In this Demonstration you can select a gas mixture of up to
molecular species. You can specify the molar composition of the mixture (moles
of each species) as well as the mixture temperature
. From the species popup menus you can select
distinct molecular species
for the mixture. The Demonstration then computes the multicomponent diffusion coefficients, which are displayed in tabular form. The diagonal terms are not computed, as these components (known as the mutual diffusion coefficients) require a separate calculation beyond the scope of this Demonstration .
From the pull-down menu, you can also view the species molecular parameters and the binary diffusion coefficients used in the computation. If the molecular species
chosen are not distinct, the inverse of
is not defined, and you need to update the selected molecular species.