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Dr. Earl Lynn Tipton
Nuclear Science & Engineering Institute
University of Missouri-Columbia
Advisors: Dr. Sudarshan K. Loyalka and Dr. Robert V. Tompson, Jr.
Abstract
This MoSGC project partially supported the completion of a PhD dissertation titled, Chapman-Enskog Solutions to Arbitrary Order in Sonine Polynomials during the Summer of 2008. The research focused on the development of a method to generate high order explicit expressions for the bracket integrals used to compute Chapman-Enskog solutions for both simple and binary mixtures of gases based upon expansions in Sonine polynomials. Bracket integral expressions were generated and archived for orders of expansion of 150 for simple gases, of 60 for the viscosity-related solutions for a binary mixture, and of order 70 for thermal conductivity-related solutions for a binary gas mixture. The expressions generated were fully general and retain the full dependence on the molecular masses, the molecular sizes, the mole fractions, and the intermolecular potential model via the omega integrals. Numerical results using high-precision arithmetic were computed for the above orders of expansion using the rigid-sphere potential model, as analytical expressions are available for the omega-integrals. The benchmark values computed have been reported in a series of journal publications. Good agreement between the values reported and those of other authors, for cases available, was demonstrated.
Earl Lynn Tipton completed the requirements for his Doctorate degree in Nuclear Engineering from the University of Missouri-Columbia in August of 2008.
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