Geodesic
Model of gas flow near the media interface surface
Matematičeskoe modelirovanie, Tome 15 (2003) no. 8, pp. 88-98 
Yu. A. Nikitchenko. Model of gas flow near the media interface surface. Matematičeskoe modelirovanie, Tome 15 (2003) no. 8, pp. 88-98. http://geodesic.mathdoc.fr/item/MM_2003_15_8_a7/
@article{MM_2003_15_8_a7,
     author = {Yu. A. Nikitchenko},
     title = {Model of gas flow near the media interface surface},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {88--98},
     year = {2003},
     volume = {15},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_8_a7/}
}
TY  - JOUR
AU  - Yu. A. Nikitchenko
TI  - Model of gas flow near the media interface surface
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 88
EP  - 98
VL  - 15
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_8_a7/
LA  - ru
ID  - MM_2003_15_8_a7
ER  - 
%0 Journal Article
%A Yu. A. Nikitchenko
%T Model of gas flow near the media interface surface
%J Matematičeskoe modelirovanie
%D 2003
%P 88-98
%V 15
%N 8
%U http://geodesic.mathdoc.fr/item/MM_2003_15_8_a7/
%G ru
%F MM_2003_15_8_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

Mathematical model is studied for the gas medium flow in the near-wall layer. The model envisages the velocity space division into the independent areas with further integration of the kinetic equation over these areas. Two types of approximating distribution functions are studied, which close the systems of moment equations obtained as a result of integration. Comparative analysis is presented for the Couette problem solutions obtained by the kinetic and proposed models.

[1] Popov S. P., Cheremisin F. G., “Sovmestnoe reshenie uravnenii Boltsmana i pogranichnogo sloya”, Matem. modelirovanie, 12:7 (2000), 71–78 | Zbl

[2] Liu C. Y., Lees L., “Kinetic theory description of plane compressible flow”, Rarefied gas dynamics, Acad. Press, NY, 1961 | MR | Zbl

[3] Bhatnagar P. L., Gross E. P., Krook M., “A model for collision processes in gases”, Phys. Review, 94:3 (1954), 511 | DOI | Zbl

[4] Svirschevskii S. B., Nikitchenko Yu. L., Kineticheskie metody v aerodinamike, Izd. MAI, M., 2001

[5] Shakhov E. M., Metod issledovaniya dvizhenii razrezhennogo gaza, VTs AN SSSR, M., 1975