Geodesic
Numerical study of the Couette flow of a diatomic rarefied gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 11, pp. 1856-1868 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Couette flow is numerically studied using a model kinetic equation for a diatomic rarefied gas (nitrogen). The boundary condition set on the wall takes into account that the molecular rotational energy passes into translational energy when the molecule interacts with the wall. For comparison purposes, the Couette flow is computed using the classical diffuse model of the gas-wall interaction. A comparison of the results obtained with both types of boundary conditions shows that the computed parameters of the Couette flow coincide only for sufficiently low Knudsen numbers. This suggests that transitions between rotational and translational energy in the gas-wall interaction have to be taken into account in the boundary condition. 
@article{ZVMMF_2013_53_11_a8,
     author = {I. A. Kostromin and V. A. Rykov},
     title = {Numerical study of the {Couette} flow of a diatomic rarefied gas},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1856--1868},
     year = {2013},
     volume = {53},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a8/}
}
TY  - JOUR
AU  - I. A. Kostromin
AU  - V. A. Rykov
TI  - Numerical study of the Couette flow of a diatomic rarefied gas
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 1856
EP  - 1868
VL  - 53
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a8/
LA  - ru
ID  - ZVMMF_2013_53_11_a8
ER  - 
%0 Journal Article
%A I. A. Kostromin
%A V. A. Rykov
%T Numerical study of the Couette flow of a diatomic rarefied gas
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 1856-1868
%V 53
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a8/
%G ru
%F ZVMMF_2013_53_11_a8
I. A. Kostromin; V. A. Rykov. Numerical study of the Couette flow of a diatomic rarefied gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 11, pp. 1856-1868. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a8/

[1] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967

[2] Shakhov E. M., “Zadacha Kuetta dlya obobschennogo uravneniya Kruka. Effekt maksimuma napryazheniya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1969, no. 5, 16

[3] Bishaev A. M., Rykov V. A., “O prodolnom potoke tepla v techenii Kuetta”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1980, no. 3, 162–166 | MR

[4] Abramov A. A., Butkovskii A. V., “Effekty nemonotonnosti i izmeneniya znaka potoka energii v perekhodnom rezhime v zadache Kuetta s teploperedachei”, Izv. RAN. Mekhan. zhidkosti i gaza, 2010, no. 1, 168–175

[5] Abramov A. A., Butkovskii A. V., “Vliyanie neodnorodnogo raspredeleniya koeffitsienta akkomodatsii na techenie Kuetta”, Izv. RAN. Mekhan. zhidkosti i gaza, 2012, no. 3, 141–146

[6] Rykov V. A., “Modelnoe kineticheskoe uravnenie dlya gaza s vraschatelnymi stepenyami svobody”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1975, no. 6, 107–115

[7] Larina I. N., Rykov V. A., “O granichnykh usloviyakh dlya gazov na poverkhnosti tela”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1986, no. 5, 141–148 | MR

[8] Larina I. N., Rykov V. A., “Prostranstvennoe obtekanie konicheskikh tel potokom razrezhennogo gaza”, Zh. vychisl. matem. i matem. fiz., 29:1 (1986), 110–117

[9] Larina I. N., Rykov V. A., “Kineticheskaya model uravneniya Boltsmana dlya dvukhatomnogo gaza s vraschatelnymi stepenyami svobody”, Zh. vychisl. matem. i matem. fiz., 50:12 (2010), 2235–2245

[10] Larina I. N., Rykov V. A., “Raschet techenii razrezhennogo dvukhatomnogo gaza cherez ploskii mikrokanal”, Zh. vychisl. matem. i matem. fiz., 52:4 (2012), 720–732 | Zbl

[11] Kolgan V. P., “Primenenie printsipa minimalnykh znachenii proizvodnoi k postroeniyu konechno-raznostnykh skhem dlya rascheta razryvnykh techenii gazovoi dinamiki”, Uchen. zap. TsAGI, 3:6 (1972), 68–77

[12] Kolgan V. P., “Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solution of gas dynamics”, J. Comput. Phys., 23:7 (2011), 2384–2390 | DOI | MR

[13] Rodionov A. V., “Complement ot the Kolgan project”, J. Comput. Phys., 231 (2012), 4465–4468 | DOI | MR | Zbl