Classical transport collision integrals for a Lennard-Jones like phenomenological model potential

A general purpose analytical expression for collision integrals, up to (ℓ, s) = (4, 4), of non-reactive interactions between heavy particles is proposed. The expression has been obtained from the classical cross section calculation for a model potential depending on few parameters, related directly to physical properties of the interacting particles. The fitting function has been verified in the temperature range 102 to 105 K making these collision integrals suitable for Chapman–Enskog calculations of complex mixtures in high enthalpy fluid dynamics. Parameter values for all the relevant interactions in 11 species air model have been reported.