Geodesic
Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1294-1308 
I. N. Larina; V. A. Rykov. Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1294-1308. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a12/
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     title = {Kinetic model of the {Boltzmann} equation with limiting gas flow regimes at low {Knudsen} numbers},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new model of the Boltzmann kinetic equation is constructed that describes both slow nonisothermal and Navier–Stokes continuum gas flows. The model is used to compute the slow nonisothermal flow past a circular cylinder. It is shown that the force exerted by the gas on the cylinder is affected by thermal stresses.

[1] Shakhov E. M., “Ob obobschenii relaksatsionnogo kineticheskogo uravneniya Kruka”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1968, no. 1, 156–161

[2] Larina I. H., Rykov V. A., “Modeli linearizovannogo integrala stolknovenii Boltsmana”, Zh. vychisl. matem. i matem. fiz., 47:6 (2007), 1029–1044

[3] Galkin B. C., Kogan M. N., Fridlender O. G., “O nekotorykh kineticheskikh effektakh v techeniyakh sploshnoi sredy”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1970, no. 3, 13–21 | Zbl

[4] Galkin B. C., Kogan M. N., Fridlender O. G., “O svobodnoi konvektsii v gaze v otsutstvie vneshnikh sil”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1971, no. 3, 98–107 | Zbl

[5] Galkin B. C., Kogan M. N., Fridlender O. G., “O napryazheniyakh, voznikayuschikh v gazakh vsledstvie neodnorodnosti temperatury i kontsentratsii. Novye tipy svobodnoi konvektsii”, Uspekhi fiz. nauk, 119:1 (1976), 111–125

[6] Galkin B. C., Kogan M. N., “K vyvodu uravnenii medlennykh neizotermicheskikh techenii gaza”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1979, no. 6, 77–84

[7] Galkin B. C., Kogan M. N., Fridlender O. G., “Obtekanie silno nagretoi sfery potokom gaza pri malykh chislakh Reinoldsa”, Prikl. matem. i mekhan., 36:5 (1972), 880–885 | Zbl

[8] Fridlender O. G., “Techenie gaza okolo neravnomerno nagretoi sfery”, Uch. zap. TsAGI, 6:5 (1975), 55–61

[9] Boris A. Yu., Fridlender O. G., “Medlennye techeniya gaza okolo silno nagretoi ili okhlazhdennoi sfery”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1981, no. 6, 170–175 | Zbl

[10] Kogan M. N., Dorofeeva L. E., “Investigation of peculiarities of small Reynolds number”, Rarefied Gas Dynamics: 24-th Internat. Symp., 2005, 192–197

[11] Sirovich L., “Dispersion relations in rarefied gas dynamics”, Phys. Fluids, 6:1 (1963), 10–20 | DOI | MR | Zbl

[12] Chepmen S., Kauling T., Matematicheskaya teoriya neodnorodnykh gazov, Izd-vo inostr. lit., M., 1960 | MR

[13] Valdman L., “Yavleniya perenosa v gazakh pri srednem davlenii”, Termodinamika gazov, Mashinostr., M., 1970, 169–407

[14] Larina I. H., Rykov V. A., “Raschet obtekaniya krugovogo tsilindra gazom pri malykh chislakh Knudsena”, Zh. vychisl. matem. i matem. fiz., 45:7 (2005), 1304–1320 | MR | Zbl

[15] Larina I. H., Rykov B. A., “Issledovanie obtekaniya krugovogo tsilindra potokom razrezhennogo gaza v statsionarnom i avtokolebatelnom rezhimakh”, Izv. RAN. Mekhan. zhidkosti i gaza, 2006, no. 1, 166–175