Abstract
The matrix elements corresponding to the collision term in the Boltzmann equation for dilute hard spheres were calculated with a computer algebra system and the fast Fourier transform, and utilized to solve the 10th-order Chapman–Enskog (CE) expansion for a steady heat-transfer problem. The solution of the CE expansion was examined using the results of the direct simulation Monte Carlo method and was shown to be a good approximation in the region of moderate Knudsen number.
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