Abstract
In order to improve the Mott-Smith theory for shock-wave structures, an iterative method is introduced. The method is basically one of the family of iterative schemes constructed by Ikenberry and Truesdell [J. Rat. Mech. Anal. 5, 1 (1956)]. In the present work, the initial values for the iteration are calculated by using the Mott-Smith bimodal function [Phys. Rev. 82, 885 (1951)]; the equilibrium Maxwellian function is used in conventional Ikenberry-Truesdell--type approaches. The density profile in the first iterative step for monatomic Maxwellian molecular gases has been obtained in a closed form. Within the limitation of the lowest-order calculation, the results show asymmetric density profiles, the correct shock thickness limiting law at the weak limit, and nonmonotonic kinetic temperature profiles even for monatomic molecules.
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