Geodesic
Vector and tensor Reynolds's stress
Matematičeskoe modelirovanie, Tome 23 (2011) no. 8, pp. 127-136.

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

The problem of asymmetry stress tensor is considered. The mechanism of beginning of turbulence in a stream is shown. On the basis of the vector form of the Newton’s law for a viscous liquid it is entered the tensor the generalized factor of viscosity which components take into account both molecular viscosity, and turbulent viscosity. It is shown, that Reynolds's turbulent stress can be submitted as a vector of stress of Reynolds. Formula for Reynolds's stress in approximation of a boundary layer is found.
Mots-clés : turbulence
Keywords: Reynolds's stress tensor, viscosity tensor, quantum effects. 
@article{MM_2011_23_8_a10,
     author = {A. N. Volobuev},
     title = {Vector and tensor {Reynolds's} stress},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {127--136},
     publisher = {mathdoc},
     volume = {23},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_8_a10/}
}
TY  - JOUR
AU  - A. N. Volobuev
TI  - Vector and tensor Reynolds's stress
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 127
EP  - 136
VL  - 23
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_8_a10/
LA  - ru
ID  - MM_2011_23_8_a10
ER  - 
%0 Journal Article
%A A. N. Volobuev
%T Vector and tensor Reynolds's stress
%J Matematičeskoe modelirovanie
%D 2011
%P 127-136
%V 23
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_8_a10/
%G ru
%F MM_2011_23_8_a10
A. N. Volobuev. Vector and tensor Reynolds's stress. Matematičeskoe modelirovanie, Tome 23 (2011) no. 8, pp. 127-136. http://geodesic.mathdoc.fr/item/MM_2011_23_8_a10/

[1] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Drofa, M., 2003, 610 pp.

[2] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, M., 1974, 520 pp.

[3] Monin A. S., Yaglom A. M., Statisticheskaya gidromekhanika, chast 2, Nauka, M., 1967

[4] Khintse I. O., Turbulentnost, Fizmatlit, M., 1963

[5] Landau L. D., Lifshits E. M., Gidrodinamika, 6, Nauka, M., 1986 | MR

[6] Yavorskii B. M., Detlaf A. A., Spravochnik po fizike, Nauka, M., 1990

[7] Ertel H., “Der Symmetriecharakter des Turbulenz-(Austausch)Tensors”, Ann. Hydrographie u maritime Meteorol., 1937, no. 65, 193 | Zbl

[8] Volobuev A. N., Tolstonogov A. P., “Osobennosti techeniya vyazkoi zhidkosti v elastichnom truboprovode”, Inzhenerno-fizicheskii zhurnal, 82:4 (2009), 751–757, Minsk

[9] Volobuev A. N., Tolstonogov A. P., “Techenie vyazkoi zhidkosti v elastichnom truboprovode”, Izv. vuzov. Aviatsionnaya tekhnika, 2008, no. 4, 17–20

[10] Landau L. D., Lifshits E. M., Teoriya uprugosti, 7, Nauka, M., 1987 | MR

[11] Levich V. G., Kurs teoreticheskoi fiziki, v. 1, Fizmatlit, M., 1962