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 Citation (Scopus)
61 Downloads (Pure)


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
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
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Conference31st International Symposium on Rarefied Gas Dynamics 2018
Abbreviated titleRGD 2018
Country/TerritoryUnited Kingdom

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • General Physics and Astronomy
  • Nature and Landscape Conservation


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