Affiliation:
1. Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, University of Messina, Viale Ferdinando Stagno d’Alcontres 31, 98166 Messina, Italy
Abstract
The propagation of acceleration waves in dilute granular gases was investigated. Acceleration waves propagating in elastic gases, mixtures, and other materials are widely studied in the literature, but not in granular gases. A thirteen-moment theory for granular gas was considered in the framework of Grad’s theory. The spatially homogeneous solutions were determined, and the hyperbolicity of the model is discussed. The propagation of acceleration waves in a non-constant state was investigated; the amplitude of the fastest mode was derived, and the critical time was evaluated. The acceleration wave propagation velocity in inelastic gases was shown to be lower than in elastic gases.
Funder
Istituto Nazionale di Alta Matematica Francesco Severi
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference33 articles.
1. Chapman, S. (1970). Cowling TG the Mathematical Theory of Non-Uniform Gases, Cambridge University Press. [3rd ed.].
2. Cercignani, C. (1988). The Boltzmann Equation, Springer.
3. Müller, I., and Ruggeri, T. (2003). Rational Extended Thermodynamics, Springer Science & Business Media.
4. Grad’s 13-moment system for a dense gas of inelastic spheres;Jenkins;Arch. Rat. Mech. Anal.,1985
5. Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flowfield;Lun;J. Fluid Mech.,1984