Thirty-five moment theory for dilute smooth hard sphere gases

M. H. Lakshminarayana Reddy, Sashikumaar Ganesan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Downloads (Pure)

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.

Original languageEnglish
Title of host publication31st International Symposium on Rarefied Gas Dynamics
Subtitle of host publicationRGD31
PublisherAIP Publishing
ISBN (Electronic)9780735418745
DOIs
Publication statusPublished - 5 Aug 2019
Event31st International Symposium on Rarefied Gas Dynamics 2018 - Glasgow, United Kingdom
Duration: 23 Jul 201827 Jul 2018

Publication series

NameAIP Conference Proceedings
PublisherAIP
Number1
Volume2132
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference31st International Symposium on Rarefied Gas Dynamics 2018
Abbreviated titleRGD 2018
CountryUnited Kingdom
CityGlasgow
Period23/07/1827/07/18

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Fingerprint Dive into the research topics of 'Thirty-five moment theory for dilute smooth hard sphere gases'. Together they form a unique fingerprint.

  • Cite this

    Reddy, M. H. L., & Ganesan, S. (2019). Thirty-five moment theory for dilute smooth hard sphere gases. In 31st International Symposium on Rarefied Gas Dynamics: RGD31 [120002] (AIP Conference Proceedings; Vol. 2132, No. 1). AIP Publishing. https://doi.org/10.1063/1.5119615