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Thirty-five moment theory for dilute smooth hard sphere gases

Reddy, MHL and Ganesan, S (2019) Thirty-five moment theory for dilute smooth hard sphere gases. In: 31st International Symposium on Rarefied Gas Dynamics, RGD 2018, 23 - 27 July 2018, Glasgow.

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Official URL: https://doi.org/10.1063/1.5119615


This paper derives a higher-order transport equations for rarefied gases and are developed within the framework of kinetic theory. In particular, a thirty-five moment theory by considering all zeroth-order to full fourth-order velocity moments of the particle distribution function for a dilute smooth hard-sphere gas is derived by employing the well-known moment closure approach, namely, Grad's method of moments. The linear stability analysis is performed on the the derived Grad type 35-moment equations to examine the spatial and temporal stability for small perturbations in space and time, respectively. Based on the plane wave solution analysis, we confirm that the thirty-five moment system is spatially and temporally stable. © 2019 Author(s).

Item Type: Conference Paper
Publication: AIP Conference Proceedings
Publisher: American Institute of Physics Inc.
Additional Information: The copyright for this article belongs to American Institute of Physics Inc.
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 07 Jan 2023 08:05
Last Modified: 07 Jan 2023 08:05
URI: https://eprints.iisc.ac.in/id/eprint/78868

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