Objective: Creation of new theoretical methods for calculating the dynamic properties of multicomponent gases undergoing simultaneous heat, mass, and momentum transport.
Summary: We have modified Neufeld, Janzen, and Aziz (NJA)'s empirical equations, which have been widely used to calculate the reduced collision integrals for the Lennard-Jones (12-6) potential as a function of reduced temperature T* with 2 or 3 digits precision. Unlike NJA's equations, our equations provide the reduced collision integrals with 4 or 5 digits precision over a wider temperature range, 0.3 ≤ T* ≤ 400. Additionally, an algorithm for evaluating source data of the reduced collision integrals with arbitrary precision has been developed with rigorous asymptote analysis and error-estimation. The following figure shows that our values match better than Hirschfelder et al's at high temperature. At T = 800 K, their data had 4.56 % deviation to Trautz and Zink's experimental values; whereas ours had only 2.95 % to it.
Our LJ parameters generate four different gas properties. Each graph includes three gases:
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