Calculation of the slip rate of a~rarefied gas on the basis of the Williams equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 88-100.

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

Using a two-moment boundary condition in an approximation that is linear with respect to the Knudsen number, we compute the rates of isothermal and thermal heat slip of a rarefied gas along the surface of a spherical aerosol particle suspended in a flow of a rarefied gas with inhomogeneous temperature and mass velocity. We study the dependence of the slip rate on the accommodation coefficient of the first two moments of the distribution function. We compare our results with published results.
@article{SJIM_2005_8_1_a9,
     author = {A. V. Latyshev and V. N. Popov and A. A. Yushkanov},
     title = {Calculation of the slip rate of a~rarefied gas on the basis of the {Williams} equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {88--100},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a9/}
}
TY  - JOUR
AU  - A. V. Latyshev
AU  - V. N. Popov
AU  - A. A. Yushkanov
TI  - Calculation of the slip rate of a~rarefied gas on the basis of the Williams equation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2005
SP  - 88
EP  - 100
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a9/
LA  - ru
ID  - SJIM_2005_8_1_a9
ER  - 
%0 Journal Article
%A A. V. Latyshev
%A V. N. Popov
%A A. A. Yushkanov
%T Calculation of the slip rate of a~rarefied gas on the basis of the Williams equation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2005
%P 88-100
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a9/
%G ru
%F SJIM_2005_8_1_a9
A. V. Latyshev; V. N. Popov; A. A. Yushkanov. Calculation of the slip rate of a~rarefied gas on the basis of the Williams equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 88-100. http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a9/

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

[2] Cercignani C., “The Kramers problem for a not completely diffusing wall”, J. Math. Phys. Appl., 10:3 (1965), 568–586 | MR

[3] Cercignani C., Lampis M., “Kinetic model for gas-surface interaction”, Transport Theory and Stat. Phys., 1 (1971), 101–114 | DOI | MR | Zbl

[4] Latyshev A. V., Yushkanov A. A., “Akkomodatsionnye dvukhmomentnye granichnye usloviya v zadachakh o teplovom i izotermicheskom skolzheniyakh”, Inzh.-fiz. zhurn., 74:3 (2001), 63–69 | MR

[5] Latyshev A. V., Popov V. N., Yushkanov A. A., “Vychislenie skorosti skolzheniya razrezhennogo gaza vdol tverdoi sfericheskoi poverkhnosti s uchetom koeffitsientov akkomodatsii”, Prikl. mekhanika i tekhn. fizika, 2004, no. 1, 23–28 | Zbl

[6] Siewert C. E., Sharipov F., “Model equations in rarefied gas dynemics: viscous-slip and thermalslip coefficients”, Phys. Fluids., 14:12 (2002), 4123–4129 | DOI | MR

[7] Beresnev S. A., Chernyak V. G., Fomyagin G. A., “Motion of a spherical particle in a rarefied gas. Part 2. Drag and thermal polarization”, J. Fluid Mech., 219 (1990), 405–421 | DOI | Zbl

[8] Beresnev S. A., Chernyak V. G., “Thermophoresis of a spherical particle in a rarefied gas: Numerical analysis based on the model kinetic equation”, Phys. Fluids., 219:7 (1995), 1743–1756 | DOI

[9] Latyshev A. V., Yushkanov A. A., “Vliyanie svoistv poverkhnosti na skolzhenie gaza s peremennoi chastotoi stolknovenii molekul”, Poverkhnost. Rentgenovskie, sinkhrotronnye i neitronnye issledovaniya, 7 (2001), 79–87

[10] Latyshev A. V., Popov V. N., Yushkanov A. A., “O vliyanii svoistv iskrivlennoi poverkhnosti na znachenie koeffitsienta izotermicheskogo skolzheniya”, Poverkhnost. Rentgenovskie, sinkhrotronnye i neitronnye issledovaniya, 6 (2003), 111–116 | MR

[11] Popov V. N., “Analiticheskoe reshenie modelnogo kineticheskogo uravneniya s peremennoi chastotoi stolknovenii na primere zadachi ob obtekanii tsilindricheskoi poverkhnosti”, Pisma v Zhurn. tekhn. fiziki, 29:3 (2003), 33–40

[12] Latyshev A. V., Popov V. N., Yushkanov A. A., “Primenenie metoda Keiza v zadache o teplovom skolzhenii razrezhennogo gaza vdol tverdoi sfericheskoi poverkhnosti”, Sib. zhurn. industr. matematiki, 5:3(11) (2002), 103–114 | MR | Zbl