Geodesic
Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 881-888 
I. V. Savenkov. Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 881-888. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a10/
@article{ZVMMF_2017_57_5_a10,
     author = {I. V. Savenkov},
     title = {Influence of the lateral wall velocity on three-dimensional disturbance development in plane {Poiseuille{\textendash}Couette} flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {881--888},
     year = {2017},
     volume = {57},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a10/}
}
TY  - JOUR
AU  - I. V. Savenkov
TI  - Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 881
EP  - 888
VL  - 57
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a10/
LA  - ru
ID  - ZVMMF_2017_57_5_a10
ER  - 
%0 Journal Article
%A I. V. Savenkov
%T Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 881-888
%V 57
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a10/
%G ru
%F ZVMMF_2017_57_5_a10

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

The linear stage of three-dimensional disturbance development in the Poiseuille–Couette flow in the case when both walls can move in the lateral direction is investigated by applying the asymptotic triple-deck theory. It is shown that the lateral wall velocity has no effect on the streamwise velocity of a wave packet. The packet does not bifurcate, but drifts in the lateral direction at the speed equal to the arithmetic mean of the walls’ speeds. Characteristic “ripples” in the lateral direction are observed at the stage of packet formation.

[1] Neiland V. Ya., “K teorii otryva laminarnogo pogranichnogo sloya v sverkhzvukovom potoke”, Izv. AN SSSR. Ser. 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. F., “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 | Zbl

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

[6] Savenkov I. V., “Osobennosti lineinoi stadii razvitiya trekhmernykh volnovykh paketov v ploskom techenii Puazeilya”, Zh. vychisl. matem. i matem. fiz., 49:7 (2009), 1271–1279 | Zbl

[7] Savenkov I. V., “Osobennosti volnovykh paketov v ploskom techenii Puazeilya–Kuetta”, Zh. vychisl. matem. i matem. fiz., 48:7 (2008), 1274–1281

[8] Savenkov I. V., “Osobennosti lineinoi stadii razvitiya trekhmernykh vozmuschenii v ploskom techenii Puazeilya–Kuetta”, Zh. vychisl. matem. i matem. fiz., 50:8 (2010), 1471–1480 | Zbl

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

[10] Zhuk V. I., Protsenko I. G., “Asimptoticheskaya struktura volnovykh vozmuschenii v teorii ustoichivosti ploskogo techeniya Kuetta–Puazeilya”, Zh. vychisl. matem. i matem. fiz., 45:6 (2005), 1060–1080 | Zbl