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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Abstract

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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