Rarefied gas flow through a pipe of variable square cross section into vacuum

V. A. Titarev, S. V. Utyuzhnikov, E. M. Shakhov

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The kinetic S-model is used to study the steady rarefied gas flow through a long pipe of variable cross section joining two tanks with arbitrary differences in pressure and temperature. The kinetic equation is solved numerically by applying a second-order accurate conservative method on an unstructured mesh. The basic quantity to be computed is the gas flow rate through the pipe. The possibility of finding a solution based on the assumption of the plane cross sectional flow is also explored. The resulting solutions are compared with previously known results.

Original languageEnglish
Pages (from-to)1221-1230
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Issue number8
Publication statusPublished - Aug 2013
Externally publishedYes


  • kinetic S-model
  • Poiseuille flow
  • rarefied gas
  • TVD scheme
  • vacuum


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