Geodesic
Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1271-1279 
I. V. Savenkov. Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1271-1279. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a11/
@article{ZVMMF_2009_49_7_a11,
     author = {I. V. Savenkov},
     title = {Features of the linear stage of development of {3D~wave} packets in a~plane {Poiseuille} flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1271--1279},
     year = {2009},
     volume = {49},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a11/}
}
TY  - JOUR
AU  - I. V. Savenkov
TI  - Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 1271
EP  - 1279
VL  - 49
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a11/
LA  - ru
ID  - ZVMMF_2009_49_7_a11
ER  - 
%0 Journal Article
%A I. V. Savenkov
%T Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 1271-1279
%V 49
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a11/
%G ru
%F ZVMMF_2009_49_7_a11

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

In the framework of the asymptotic theory of free interaction, the linear stage of the development of 3D wave packets in a plane Poiseuille flow is studied. Numerical results show the presence of “ripples” in the lateral direction in the first phase of the linear stage. The disturbances propagate within a certain angle.

[1] Neiland V. Ya., “K teorii otryva laminarnogo pogranichnogo sloya v sverkhzvukovom potoke”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1969, no. 4, 53–58

[2] Stewartson K., Williams P. G., “Self-induced separation”, Proc. Roy. Soc. A, 312:1509 (1969), 181–206 | DOI | Zbl

[3] Messiter A., “Boundary-layer flow near the trailing edge of a flat plate”, SIAM. J. Appl. Math., 18:1 (1970), 241–257 | DOI | Zbl

[4] Zhuk V. I., Ryzhov O. S., “O svobodnom vzaimodeistvii pristenochnykh sloev s yadrom techeniya Puazeilya”, Dokl. AN SSSR, 257:1 (1981), 55–59 | MR | Zbl

[5] Bogdanova E. V., Ryzhov O. S., “O kolebaniyakh, vozbuzhdaemykh garmonicheskim ostsillyatorom v techenii Puazeilya”, Dokl. AN SSSR, 257:4 (1981), 837–841 | Zbl

[6] Smith F. t., “On the high Reynolds number theory of laminar flows”, IMA J. Appl. Math., 28:3 (1982), 207–281 | DOI | MR | Zbl

[7] Ryzhov O. S., Terentev E. D., “O perekhodnom rezhime, kharakterizuyuschem zapusk vibratora v dozvukovom pogranichnom sloe na plastinke”, Prikl. matem. i mekhan., 50:6 (1986), 974–986 | Zbl

[8] Ryzhov O. S., Savenkov I. V., “Asimptoticheskaya teoriya volnovogo paketa v pogranichnom sloe na plastinke”, Prikl. matem. i mekhan., 51:5 (1987), 820–828 | Zbl

[9] Ryzhov O. S., Savenkov I. V., “Asimptoticheskii podkhod v teorii gidrodinamicheskoi ustoichivosti”, Matem. modelirovanie, 1:4 (1989), 61–86 | MR | Zbl