Turbulence formation due to vortices interaction in the laminar channel flow behind the rib
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 116-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper is devoted to the study of local laminar-turbulent transition mechanisms in the channel flow behind the semi-circular rib. Using direct numerical simulation, it was demonstrated that the transition occurs mainly due to the interaction of paired helical vortices at the side walls of the channel behind the rib. If the transverse size of these vortices reaches half of the channel width, their contact causes periodic generation and separation of smaller vortex structures. The latter leads to the local laminar-turbulent transition in the interaction region behind the rib. If the channel width is large enough, the flow stays laminar. The influence exercised by the channel width on the laminar-turbulent transition was studied at a range of Reynolds numbers from 1500 to 3000.
Keywords: direct numerical simulation, channel flow, laminar flow, helical vortices.
Mots-clés : laminar-turbulent transition
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     author = {A. B. Mazo and D. I. Okhotnikov},
     title = {Turbulence formation due to vortices interaction in the laminar channel flow behind the rib},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. B. Mazo; D. I. Okhotnikov. Turbulence formation due to vortices interaction in the laminar channel flow behind the rib. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 116-125. http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a9/

[1] Molochnikov V. M., Mikheev N. I., Paerelii A. A., Khairnasov K. R., “Otryv potoka za vystupom v kanale pri laminarnom rezhime techeniya”, Teplofizika i aeromekhanika, 15:4 (2008), 611–621

[2] Dushina O. A., Molochnikov V. M., Mikheev N. I., Paerelii A. A., “Evolyutsiya kinematicheskoi struktury za poperechnym vystupom v kanale na perekhodnykh rezhimakh techeniya”, Teplofizika i aeromekhanika, 19:2 (2012), 235–243

[3] Denham M., Patrick M., “Laminar flow over a downstream-facing step in a two-dimensional flow channel”, Trans. Instn. Chem. Engrs., 52 (1974), 361–367

[4] Armaly B., Durst F., Pereira C., “Experimental and theoretical investigation of backward-facing step”, J. Fluid Mech., 127 (1983), 473–496 | DOI

[5] Okhotnikov D. I., Kalinin E. I., Mazo A. B., “Vliyanie shiriny kanala na rezhim techeniya pri obtekanii vystupa”, Materialy X Mezhdunar. konf. po neravnovesnym protsessam v soplakh i struyakh (NPNJ 2014), Izd-vo MAI, M., 2014, 51–53

[6] Abdalla I., Yang Z., Malcolm C., “Computational analysis and flow structure of a transitional separated-reattached flow over a surface mounted obstacle and a forward-facing step”, Int. J. Comput. Fluid Dyn., 23:1 (2009), 25–57 | DOI | MR | Zbl

[7] Williams S., Baker A., “Numerical simulations of laminar flow over a 3D backward-facing step”, Int. J. For Numer. Meth. Fluids, 24:11 (1997), 1159–1183 | 3.0.CO;2-R class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | Zbl

[8] Hiroshi I., Kazuyoshi N., Kenjiro S., “Flow and heat transfer characteristics of backward-facing step laminar flow in a rectangular duct”, Int. J. Heat Mass Transfer, 43:3 (2000), 457–471 | DOI | Zbl

[9] Kitoh A., Sugawara K., Yoshikawa H., Ota T., “Expansion ratio effects on three-dimensional separated flow and heat transfer around backward-facing steps”, J. Heat Transfer, 129:9 (2007), 1141–1155 | DOI

[10] Barkley D., Gomes M. G. M., Henderson R. D., “Three-dimensional instability in flow over a backward-facing step”, J. Fluid Mech., 473 (2002), 167–190 | DOI | MR | Zbl

[11] Rani H. P., Sheu T. W. H., Tsai E. S. F., “Eddy structures in a transitional backward-facing step flow”, J. Fluid Mech., 588 (2007), 43–58 | DOI | Zbl

[12] Pauley L. L., Moin P., Reynolds W. C., “The structure of two-dimensional separation”, J. Fluid Mech., 220 (1990), 397–411 | DOI

[13] Yang Z., Voke P. R., “Large-eddy simulation of boundary-layer separation and transition at a change of surface curvature”, J. Fluid Mech., 439 (2001), 305–333 | DOI | Zbl

[14] Yanaoka H., Inamura T., Kobayashi R., “Numerical simulation of separated flow transition and heat transfer around two-dimensional rib”, Heat Transfer Asian Res., 36:8 (2007), 513–528 | DOI

[15] Molochnikov V. M., Mazo A. B., Malyukov A. V., Kalinin E. I., Mikheev N. I., Dushina O. A., Paerelii A. A., “Osobennosti formirovaniya vikhrevykh struktur v otryvnom techenii za vystupom v kanale pri perekhode k turbulentnosti”, Teplofizika i aeromekhanika, 21:3 (2014), 325–334

[16] Mazo A. B., Modelirovanie turbulentnykh techenii neszhimaemoi zhidkosti, Kazan. gos. un-t, Kazan, 2007, 106 pp.