Mathematical Investigation of 1D Discontinuity Waves in Dilute Granular Gases

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 o...

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Bibliographic Details
Main Authors: Elvira Barbera, Annamaria Pollino
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/24/4935
Description
Summary: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.
ISSN:2227-7390