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Zh. Vychisl. Mat. Mat. Fiz., 1999, Volume 39, Number 7, Pages 1236–1245 (Mi zvmmf1659)  

This article is cited in 17 scientific papers (total in 17 papers)

Linearized two-dimensional problem of rarefied gas flow in a long channel

E. M. Shakhov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full text: PDF file (1915 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 1999, 39:7, 1192–1200

Bibliographic databases:
UDC: 519.6:537.84
MSC: Primary 76P05; Secondary 76N15
Received: 27.03.1998

Citation: E. M. Shakhov, “Linearized two-dimensional problem of rarefied gas flow in a long channel”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999), 1236–1245; Comput. Math. Math. Phys., 39:7 (1999), 1192–1200

Citation in format AMSBIB
\Bibitem{Sha99}
\by E.~M.~Shakhov
\paper Linearized two-dimensional problem of rarefied gas flow in a long channel
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1999
\vol 39
\issue 7
\pages 1236--1245
\mathnet{http://mi.mathnet.ru/zvmmf1659}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1711745}
\zmath{https://zbmath.org/?q=an:1083.76573}
\transl
\jour Comput. Math. Math. Phys.
\yr 1999
\vol 39
\issue 7
\pages 1192--1200


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. M. Shakhov, “Rarefied gas flow in a pipe of finite length”, Comput. Math. Math. Phys., 40:4 (2000), 618–626  mathnet  mathscinet  zmath
    2. V. A. Titarev, E. M. Shakhov, “A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section”, Comput. Math. Math. Phys., 50:3 (2010), 537–548  mathnet  crossref  mathscinet  adsnasa  isi
    3. V. A. Titarev, E. M. Shakhov, “Kinetic analysis of an isothermal flow in a long microchannel with rectangular cross section”, Comput. Math. Math. Phys., 50:7 (2010), 1221–1237  mathnet  crossref  mathscinet  adsnasa  isi
    4. Titarev V.A., “Implicit high-order method for calculating rarefied gas flow in a planar microchannel”, J Comput Phys, 231:1 (2012), 109–134  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. V. A. Titarev, E. M. Shakhov, “Efficient method for computing rarefied gas flow in a long finite plane channel”, Comput. Math. Math. Phys., 52:2 (2012), 269–284  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. Titarev V.A., “Rarefied Gas Flow in a Planar Channel Caused by Arbitrary Pressure and Temperature Drops”, Int. J. Heat Mass Transf., 55:21-22 (2012), 5916–5930  crossref  isi  elib  scopus
    7. Gatignol R., “Asymptotic Modelling of Flows in Microchannel by Using Navier–Stokes Or Burnett Equations and Comparison with Dsmc Simulations”, Vacuum, 86:12 (2012), 2014–2028  crossref  adsnasa  isi  elib  scopus
    8. Titarev V.A., “Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows”, Commun. Comput. Phys., 12:1 (2012), 162–192  crossref  mathscinet  zmath  isi  elib  scopus
    9. Doi T., “Plane Thermal Transpiration of a Rarefied Gas in the Presence of Gravitation”, Vacuum, 86:10 (2012), 1541–1546  crossref  mathscinet  adsnasa  isi  elib  scopus
    10. Shakhov E.M. Titarev V.A., “Efficient Solution Method for Rarefied Gas Flow in Long Finite-Length Channels”, 28th International Symposium on Rarefied Gas Dynamics 2012, Vols. 1 and 2, AIP Conference Proceedings, 1501, ed. Mareschal M. Santos A., Amer Inst Physics, 2012, 473–480  crossref  adsnasa  isi  scopus
    11. Titarev V.A. Shakhov E.M., “Numerical Study of the Poiseuille and Thermal Creep Flow of Nitrogen in Long Capillaries”, 28th International Symposium on Rarefied Gas Dynamics 2012, Vols. 1 and 2, AIP Conference Proceedings, 1501, ed. Mareschal M. Santos A., Amer Inst Physics, 2012, 765–770  crossref  adsnasa  isi  scopus
    12. Titarev V.A. Shakhov E.M., “Poiseuille Flow and Thermal Creep in a Capillary Tube on the Basis of the Kinetic R-Model”, Fluid Dyn., 47:5 (2012), 661–672  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
    13. Pantazis S., Valougeorgis D., Sharipov F., “End Corrections for Rarefied Gas Flows Through Capillaries of Finite Length”, Vacuum, 97 (2013), 26–29  crossref  adsnasa  isi  elib  scopus
    14. Titarev V.A., “Rarefied Gas Flow in a Circular Pipe of Finite Length”, Vacuum, 94 (2013), 92–103  crossref  adsnasa  isi  elib  scopus
    15. Rovenskaya O.I., “Comparative Analysis of the Numerical Solution of Full Boltzmann and Bgk Model Equations for the Poiseuille Flow in a Planar Microchannel”, Comput. Fluids, 81 (2013), 45–56  crossref  mathscinet  zmath  isi  elib  scopus
    16. Pantazis S. Valougeorgis D. Sharipov F., “End Corrections for Rarefied Gas Flows Through Circular Tubes of Finite Length”, Vacuum, 101:SI (2014), 306–312  crossref  adsnasa  isi  elib  scopus
    17. Valougeorgis D., Vasileiadis N., Titarev V., “Validity Range of Linear Kinetic Modeling in Rarefied Pressure Driven Single Gas Flows Through Circular Capillaries”, Eur. J. Mech. B-Fluids, 64:SI (2017), 2–7  crossref  mathscinet  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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