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Chapman-Enskog and Burnett solutions for a simple, rigid-sphere gas: Numerical solutions using a subtraction technique
Authors:A. Mohan
Affiliation:Nuclear Science and Engineering Institute and Particulate Systems Research Center, University of Missouri-Columbia, Columbia, MO 65211, USA
Abstract:Chapman-Enskog and Burnett solutions are obtained for a simple, rigid-sphere gas through application of a subtraction technique to the linearized Boltzmann equation. The numerical results obtained converge and compare well with results reported previously using other techniques. This method is straightforward and may prove quite useful in addressing several other similar problems in the kinetic theory of gases.
Keywords:Chapman-Enskog solutions   Burnett solutions   Rigid-sphere molecules   Rarefied gas dynamics   Subtraction technique   Gauss-Legendre quadratures   Fredholm equations of the second kind
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