Abstract
We summarize our recent contributions to the development of macroscopictransport equations for rarefled gas °ows. A combination of the Chapman-Enskog expansion and Grad’s moment method, termed as the order of mag-nitude method, yields the regularized 13 moment equations (R13 equations)which are of super-Burnett order. A complete set of boundary conditions isderived from the boundary conditions of the Boltzmann equations. The R13equations are linearly stable and their results for Knudsen numbers below 0.5stand in excellent agreement to DSMC simulations.
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