A thirteen-moment model for dilute granular gases is developed within the framework of Rational Extended Thermodynamics. A quasilinear system of partial differential equations, consisting of 13 field equations for the 13 field variables, is derived. The constitutive relations are determined by applying fundamental physical principles, in particular the entropy principle. To ensure the consistency of this macroscopic model, both the hyperbolicity region of the differential system and the region of entropy production are analyzed. The model is also solved in the homogeneous and stationary one-dimensional cases, and the validity of these solutions is examined. It is shown that the entropy principle imposes constraints on the admissibility of certain types of solutions.
An extended thermodynamic model for dilute granular gases
Barbera, Elvira
;Pollino, Annamaria
2026-01-01
Abstract
A thirteen-moment model for dilute granular gases is developed within the framework of Rational Extended Thermodynamics. A quasilinear system of partial differential equations, consisting of 13 field equations for the 13 field variables, is derived. The constitutive relations are determined by applying fundamental physical principles, in particular the entropy principle. To ensure the consistency of this macroscopic model, both the hyperbolicity region of the differential system and the region of entropy production are analyzed. The model is also solved in the homogeneous and stationary one-dimensional cases, and the validity of these solutions is examined. It is shown that the entropy principle imposes constraints on the admissibility of certain types of solutions.Pubblicazioni consigliate
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