Maximum entropy principle for rarefied polyatomic gases |
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| Authors: | Milana Pavić Tommaso Ruggeri Srboljub Simić |
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| Affiliation: | 1. Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 4, Serbia;2. CMLA, ENS Cachan, PRES UniverSud Paris, 61 Avenue du Président Wilson, F-94235 Cachan Cedex, France;3. Department of Mathematics and Research Center of Applied Mathematics (C.I.R.A.M.), University of Bologna, Via Saragozza 8, 40123 Bologna, Italy;4. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 6, Serbia |
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| Abstract: | The aim of this paper is to show that the procedure of maximum entropy principle for the closure of the moments equations for rarefied monatomic gases can be extended also to polyatomic gases. The main difference with respect to the usual procedure is the existence of two hierarchies of macroscopic equations for moments of suitable distribution function, in which the internal energy of a molecule is taken into account. The field equations for 14 moments of the distribution function, which include dynamic pressure, are derived. The entropy and the entropy flux are shown to be a generalization of the ones for classical Grad’s distribution. The results are in perfect agreement with the recent macroscopic approach of extended thermodynamics for real gases. |
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| Keywords: | Maximum entropy principle Kinetic theory of gases Extended thermodynamics |
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