Extended Thermodynamics for Dense Gases up to Whatever Order and with Only Some Symmetries

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ID: 69669
2015
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Abstract
Extended Thermodynamics of dense gases is characterized by two hierarchies of field equations, which allow one to overcome some restrictions on the generality of the previous models. This idea has been introduced by Arima, Taniguchi, Ruggeri and Sugiyama. In the case of a 14-moment model, they have found the closure of the balance equations up to second order with respect to equilibrium. Here, the closure is obtained up to whatever order and imposing only the necessary symmetry conditions. It comes out that the first non-symmetric parts of the higher order fluxes appear only at third order with respect to equilibrium, even if Arima, Taniguchi, Ruggeri and Sugiyama found a non-symmetric part proportional to an arbitrary constant also at first order with respect to equilibrium. Consequently, this constant must be zero, as Arima, Taniguchi, Ruggeri and Sugiyama assumed in the applications and on an intuitive ground.
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Authors Carrisi, Maria Cristina;Tchame, Rita Enoh;Obounou, Marcel;Pennisi, Sebastiano;
Journal entropy
Year 2015
DOI
DOI not found
URL
http://www.mdpi.com/1099-4300/17/10/7052
Keywords
Medicine Science physics industrial engineering. management engineering astrophysics production capacity. manufacturing capacity

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