Similarity in the far swirling momentumless turbulent wake
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 79-86.

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

A self–similar solution to one model of the far momentumless swirling turbulent wake is proposed in the paper.
Keywords: far swirling turbulent wake, self–similar solution, shooting method.
@article{JSFU_2020_13_1_a6,
     author = {Alexey V. Schmidt},
     title = {Similarity in the far swirling momentumless turbulent wake},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {79--86},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a6/}
}
TY  - JOUR
AU  - Alexey V. Schmidt
TI  - Similarity in the far swirling momentumless turbulent wake
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2020
SP  - 79
EP  - 86
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a6/
LA  - en
ID  - JSFU_2020_13_1_a6
ER  - 
%0 Journal Article
%A Alexey V. Schmidt
%T Similarity in the far swirling momentumless turbulent wake
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2020
%P 79-86
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a6/
%G en
%F JSFU_2020_13_1_a6
Alexey V. Schmidt. Similarity in the far swirling momentumless turbulent wake. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 79-86. http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a6/

[1] J.A. Schetz, Injection and mixing in turbulent flow, Progr. in Astronautics and Aeronautics, 68, 1980 | MR

[2] J. Piquet, Turbulent flows. Models and physics, Springer-Verlag, Berlin–Heidelberg, 1999 | MR | Zbl

[3] A. Reynolds, J. of Fluid Mech., 14:2 (1962), 241–243 | DOI | Zbl

[4] A.G. Gumilevskii, Fluid Dyn., 27:3 (1992), 35–41

[5] A.G. Gumilevskii, Fluid Dyn., 28:1 (1993), 30–34 | DOI

[6] A.G. Gumilevskii, Fluid Dyn., 28:5 (1993), 619–623 | DOI

[7] N.V. Gavrilov, A.G. Demenkov, V.A. Kostomakha, et al., J. of Appl. Mech. and Tech. Phys., 41:4 (2000), 619–627 | DOI

[8] G.G. Chernykh, A.G. Demenkov, V.A. Kostomakha, International Journal of Computational Fluid Dynamics, 19:5 (2005), 399–408 | DOI | Zbl

[9] A.G. Demenkov, G.G. Chernykh, Thermophys. and Aeromech., 23:5 (2016), 667–675 | DOI

[10] L.N. Voitovich, “An experimental study of swirling turbulent jet flows”, Industrial aerodynamics, Aerodynamics of blade machines, channels and jet flows, 1 (33), ed. Ginevsky A. S., 1986, 224–675 (in Russian)

[11] V.A. Kostomakha, N.V. Lesnova, J. of Appl. Mech. and Tech. Phys., 36:2 (1995), 226–233 | DOI

[12] T. Faure, G. Robert, “Turbulent kinetic energy balance in the wake of a self–propelled body”, Exp. in Fluids, 21:4 (1996), 268–274 | DOI

[13] A.I. Sirviente, V. Patel, AIAA J., 38:4 (2000), 620–627 | DOI

[14] A.I. Sirviente, V. Patel, AIAA J., 39:12 (2001), 2411–2414 | DOI

[15] J.A. Schetz, S. Favin, “Numerical solution for the near wake of a body with propeller”, AIAA J. of Hydronautics, 11:10 (1977), 136–141 | DOI

[16] J.A. Schetz, S. Favin, AIAA J. of Hydronautics, 13:4 (1979), 46–51 | DOI

[17] M.H. Lu, A.I. Sirviente, “Numerical study of the momentumless wake of an axisymmetric body”, 43rd AIAA Aerospace Sciences Meeting and Exhibit (Reno, Nevada), 2005, AIAA-2005-1109 http://hdl.handle.net/2027.42/77294

[18] A.G. Demenkov, V.A. Kostomakha, G.G. Chernykh, J. Comp. Techn., 2:5 (1997), 26–34

[19] G.G. Chernykh, A.G. Demenkov, V.A. Kostomakha, Russ. J. of Numer. Anal. and Math. Model., 13:4 (1998), 279–288 | DOI | MR | Zbl

[20] A.G. Demenkov, G.G. Chernykh, Thermophysics and Aeromechanics volume, 24:6 (2017), 867–871 | DOI

[21] O.V. Kaptsov, A.V. Shmidt, SIGMA, 8 (2012), 073 | DOI | Zbl

[22] O.V. Kaptsov, A.V. Fomina, G.G. Chernykh, A.V. Schmidt, Math. Modell., 27:1 (2015), 84–98 (in Russian) | Zbl

[23] O.V. Kaptsov, A.V. Shmidt, J. of Appl. Math. and Mech., 79:5 (2015), 459–466 | DOI | MR | Zbl

[24] A.V. Shmidt, J. of Appl. Mech. and Tech. Phys., 56:3 (2015), 414–419 | DOI | MR | Zbl

[25] B.E. Launder, A. Morse, “Numerical prediction of axisymmetric free shear flows with a second-order Reynolds stress closure”, Turbulent shear flows, Springer, Berlin, 1979, 279–294 | DOI

[26] W. Rodi, ZAMM J. of Appl. Math. and Mech., 56 (1976), 219–221 | DOI

[27] L.V. Ovsyannikov, Group analysis of differential equations, Academic Press, New York, 1982 | MR | Zbl