Solutions of the moment hierarchy in the kinetic theory of Maxwell models
| Autor: | Santos, Andrés |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Cont. Mech. Thermodyn. 21, 361-387 (2009) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00161-009-0113-5 |
| Popis: | In the Maxwell interaction model the collision rate is independent of the relative velocity of the colliding pair and, as a consequence, the collisional moments are bilinear combinations of velocity moments of the same or lower order. In general, however, the drift term of the Boltzmann equation couples moments of a given order to moments of a higher order, thus preventing the solvability of the moment hierarchy, unless approximate closures are introduced. On the other hand, there exist a number of states where the moment hierarchy can be recursively solved, the solution generally exposing non-Newtonian properties. The aim of this paper is to present an overview of results pertaining to some of those states, namely the planar Fourier flow (without and with a constant gravity field), the planar Couette flow, the force-driven Poiseuille flow, and the uniform shear flow. Comment: 26 pages, 7 figures, 6 tables; v2: Change of notation of some variables, new section and two new figures added; published in a special use of Cont. Mech. Thermodyn. devoted to the Proceedings of the Workshop on Moment Methods in Kinetic Gas Theory (November 6-8, 2008) |
| Databáze: | arXiv |
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