Summary
The paper is devoted to the problem of nonlinear laminar-flow breakdown in wall bounded shear flows during their transition to the turbulent state. A brief review of some previously obtained results in this field is presented. The main attention is concentrated on a comparative analysis of the nonlinear phenomena observed in boundary layers, channels, and pipe flows. The associated mechanisms of turbulence production are also compared with those observed in developed wall turbulent flows. A striking resemblance is found in all considered cases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Herbert T. Secondary instability of boundary layers. Ann. Rev. Fluid Mech. 20:487–526,1988.
Kachanov Y.S. Physical mechanisms of laminar-boundary-layer transition. Ann. Rev. Fluid Mech. 26:411–482, 1994.
Bake S., Fernholz H.H., Kachanov Y.S. Resemblance of K- and N-regimes of boundary-layer transition at late stages. Eur. J. Mech., B/Fluids. 19(1):1–22, 2000.
Borodulin V.I., Gaponenko V.R., Kachanov Y.S., Mayer D.G.W., Rist U., Lian Q.X., Lee C.B. Late-stage transitional boundary-layer structures. Direct numerical simulation and experiment. Theoretical and Computational Fluid Dynamics. 15: 317–337, 2002.
Zelman M.B., Maslennikova II. Tollmien-Schlichting-wave resonant mechanism for subharmonic-type transition. J. Fluid Mech. 252:449–478, 1993.
Rist U. & Kachanov Y.S. Numerical and experimental investigation of the K-regime of boundary-layer transition. In Laminar-Turbulent Transition (ed. R. Kobayashi), pp. 405–412. — Berlin: Springer, 1995.
Kachanov Y.S., Ryzhov O.S., Smith F.T. Formation of solitons in transitional boundary layers: theory and experiments. J. Fluid Mech. 251:273–297, 1993.
Klebanoff P.S., Tidstrom K.D., Sargent L.M. The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12:1–34, 1962.
Rist U., Müller K., Wagner S. Visualization of late-stage transitional structures in numerical data using vortex identification and feature extraction. In Proc. 8th Int. Sym. Flow Visualization, Sorrento, Italy. 1998, paper N. 103.
Hama F.R. & Nutant J. Detailed flow-field observations in the transition process in a thick boundary layer. In Proc. 1963 Heat Transfer & Fluid Mech. Inst. — Palo Alto, pp. 77–93 -Calif.: Stanford Univ. Press, 1963.
Crow S.C. Stability theory for a pair of trailing vortices. AIAA J. 8:2172–2179, 1970.
Van Dyke M. An album offluid motion. - Stanford, California: Parabolic Press, 1982.
Moin P., Leonard A. & Kim J. Evolution of a curved vortex filament into a vortex ring. Phys. Fluids. 29(4):955–963, 1986.
Falco R.E. Coherent motions in the outer region of turbulent boundary layer. Phys. Fluids Supp. 20(10):S124–132, 1977.
Borodulin V.I., Gaponenko V.R., Kachanov Y.S. Generation and development of coherent structures in boundary layer at pulse excitation. In 10th Int. Conference on Methods of Aerophysical Research. Proceedings. Part II, pp. 37–42. — Novosibirsk: Inst. Theor. & Appl. Mech., 2000.
Dryganets, S.V., Kachanov, Y.S., Levchenko, V.Y. & Ramazanov, M.P. Resonant flow randomization in K-regime of boundary layer transition. Zurn. Priklad. Mekh. i Tekhn. Fiziki. 2:83–94, 1990 (in Russian). (Trans.: J App. Mech. & Tech. Phys. 31(2):239–249, 1990.)
Nishioka M., Asai M. Evolution of Tollmien-Schlichting waves into wall turbulence. In Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), pp. 87–92. — Elsevier Science Publishers (North-Holland), 1984.
Rist U. Numerische Untersuchung der räumlichen, dreidimensionalen Störungsentwicklung beim Grenzschichtumschlag. Ph.D. thesis Inst. A Mech. Univ. Stuttgart, 1990.
Kozlov V.V., Ramazanov M.P. Resonance interaction of disturbances in Poiseuille flow. Dokl. Akad. Nauk SSSR. 275(6):1346–1349 (in Russian).
Kleiser L., Laurien E. Three-dimensional numerical simulation of laminar-turbulent transition and its control by periodic disturbances. In Laminar-Turbulent Transition (ed. V.V. Kozlov), pp. 27–37. — Berlin: Springer-Verlag, 1984.
Härtel C., Kleiser L. Subharmonic transition to turbulence in channel flow. Applied Scientiific Research. 51:43–47, 1993.
Sandham N.D., Kleiser, L. The late stages of transition to turbulence in channel flow. J. Fluid Mech. 245:319–348, 1992.
Han G., Tumin A., Wygnanski I. Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanation from the wall. Part II. Late stage of transition. J. Fluid Mech. — 2001. (Accepted for publication.)
Reuter J., Rempfer D. A hybrid spectral/finite-difference scheme for the simulation of pipe-flow transition. In Laminar-Turbulent Transition (ed. H. Fasel & W.S. Saric), pp. 383–390. — Berlin: Springer-Verlag, 2000.
Zhou J., Adrian R.J., Balachandar S., Kendal T.M. Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387:353–396, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kachanov, Y.S. (2004). On a Universal Mechanism of Turbulence Production in Wall Shear Flows. In: Wagner, S., Kloker, M., Rist, U. (eds) Recent Results in Laminar-Turbulent Transition. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45060-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-540-45060-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07345-8
Online ISBN: 978-3-540-45060-3
eBook Packages: Springer Book Archive