Skip to main content

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
Cancel
×
×
Home
  • Home
Article
  • Cited by 16
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    LIU, C. and LIU, Z. 1993. Multigrid methods and high order finite difference for flow in transition - Effects of isolated and distributed roughness elements.
    Ben-Yu, Guo and He-Ping, Ma 1993. Combined Finite Element and Pseudospectral Method for the Two-Dimensional Evolutionary Navier–Stokes Equations. SIAM Journal on Numerical Analysis, Vol. 30, Issue. 4, p. 1066.
    Saiki, E. M. Biringen, S. Danabasoglu, G. and Streett, C. L. 1993. Spatial simulation of secondary instability in plane channel flow: comparison of K- and H-type disturbances. Journal of Fluid Mechanics, Vol. 253, Issue. -1, p. 485.
    Guo, Ben-Yu and Cao, Wei-Ming 1992. A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Journal of Computational Physics, Vol. 101, Issue. 2, p. 375.
    Yang, Kyung-Soo Spalart, Philippe R. and Ferziger, Joel H. 1992. Numerical studies of natural transition in a decelerating boundary layer. Journal of Fluid Mechanics, Vol. 240, Issue. -1, p. 433.
    DANABASOGLU, G. BIRINGEN, S. and STREETT, C. 1991. Numerical simulation of spatially-evolving instability in plane channel flow.
    Biringen, S and Laurien, E 1991. Nonlinear structures of transition in wall-bounded flows. Applied Numerical Mathematics, Vol. 7, Issue. 1, p. 129.
    LADD, DANIEL M. 1990. Control of natural laminar instability waves on an axisymmetric body. AIAA Journal, Vol. 28, Issue. 2, p. 367.
    BIRINGEN, S. 1990. Numerical simulation of nonlinear structures in channel flow transition. AIAA Journal, Vol. 28, Issue. 2, p. 365.
    Biringen, S. and Peltier, L. J. 1990. Numerical simulation of 3‐D Bénard convection with gravitational modulation. Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue. 5, p. 754.
    Sankaran, R. Sokolov, M. and Antonia, R. A. 1988. Substructures in a turbulent spot. Journal of Fluid Mechanics, Vol. 197, Issue. -1, p. 389.
    BIRINGEN, S. NUTT, W. E. and CARUSO, M. J. 1987. Numerical study of transition control by periodic suction blowing. AIAA Journal, Vol. 25, Issue. 2, p. 239.
    Biringen, S. 1987. Three-dimensional vortical structures of transition in plane channel flow. Physics of Fluids, Vol. 30, Issue. 11, p. 3359.
    Zang, Thomas A. and Yousuff Hussaini, M. 1986. On spectral multigrid methods for the time-dependent Navier-Stokes equations. Applied Mathematics and Computation, Vol. 19, Issue. 1-4, p. 359.
    BIRINGEN, S. NUTT, W. and CARUSO, M. 1985. Transition control by periodic suction-blowing.
    Bobbltt, P. J. Waggoner, E. G. Harvey, W. D. and Dagenhart, J. R. 1985. A Faster “Transition” to Laminar Flow. Vol. 1, Issue. ,
    ×
  • Get access
    Add to cart USD35.00
    Check if you have access via personal or institutional login
    Log in Register Recommend to librarian

Final stages of transition to turbulence in plane channel flow

  • S. Biringen (a1)
Abstract

This paper involves a numerical simulation of the final stages of transition to turbulence in plane channel flow at a Reynolds number of 1500. Three-dimensional incompressible Navier–Stokes equations are numerically integrated to obtain the time evolution of two- and three-dimensional finite-amplitude disturbances. Computations are performed on the CYBER-203 vector processor for a 32 × 51 × 32 grid. Solutions indicate the existence of structures similar to those observed in the laboratory and characteristic of the various stages of transition that lead to final breakdown. In particular, evidence points to the formation of a A-shaped vortex and the subsequent system of horsehoe vortices inclined to the main flow direction as the primary elements of transition. Details of the resulting flow field after breakdown indicate the evolution of streaklike formations found in turbulent flows. Although the flow field does approach a steady state (turbulent channel flow), the introduction of subgrid-scale terms seems necessary to obtain fully developed turbulence statistics.

Copyright
© 1984 Cambridge University Press
References
Hide All
Benney, D. J. & Lin, C. C. 1960 On the secondary motion induced by oscillations in a shear flow. Phys. Fluids 4, 656.
Biringen, S. & Maestrello, L. 1984 Development of spot-like turbulence in plane channel flow. Phys. Fluids 27, 318.
Cantwell, B. J. 1981 Organized motion in turbulent flow. Ann. Rev. Fluid Mech. 13, 457.
Carlson, D. R., Widnall, S. E. & Peeters, M. F. 1982 A flow-visualization study of transition in plane Poiseuille flow. J. Fluid Mech. 121, 487.
Craik, A. D. D. 1971 Non-linear resonant instability in boundary layers. J. Fluid Mech. 50, 393.
Fasel, H., Bestek, H. & Schefenacker, R. 1977 Numerical simulation studies of transition phenomena in incompressible, two-dimensional flows. In Laminar—Turbulent Transition: AGARD Conf. Proc. 224, p. 14.
George, W. D. & Hellums, J. D. 1972 Hydrodynamic stability in plane Poiseuille flow with finite-amplitude disturbances. J. Fluid Mech. 12, 1.
Kama, F. R. & Nutant, J. 1963 Detailed flow field observations in the transition process in a thick boundary layer. In Proc. 1963 Heat Transfer and Fluid Mechanics Institute. Stanford University Press.
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297.
Herbert, T. 1981 Stability of plane Poiseuille flow—Theory and experiment. Dept Engng Sci. and Mech., Virginia Poly. Inst. and State Univ. Rep. VPI-E-21-35.
Herbert, T. 1983 Secondary instability of plane channel flow to subharmomic three-dimensional disturbances. Phys. Fluids 26, 871.
Kao, T. W. & Park, C. 1970 Experimental investigations of the stability of channel flows. Part 1. Flow of a single liquid in a rectangular channel. J. Fluid Mech. 43, 145.
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1.
Kleiser, L. 1982 Spectral simulations of laminar—turbulent transition in plane Poiseuille flow and comparison with experiments. In Proc. 8th Intl Conf. on Numerical Methods in Fluid Dynamics, Aachen (ed. E. Krause). Lecture Notes in Physics, vol. 170, p. 280. Springer.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.
Komoda, H. 1967 Nonlinear development of disturbance in laminar boundary layer. Phys. Fluids Suppl. 10, 87.
Kovasznay, L. S. G., Komoda, H. & Vasudeva, B. R. 1962 Detailed flow field in transition. In Proc. 1962 Heat Transfer and Fluid Mech. Inst., p. 1.
Mansour, N. N., Ferziger, J. H. & Reynolds, W. C. 1978 Large eddy simulation of a turbulent mixing layer. Dept Mech. Engng, Stanford Univ. Rep. TF-11.
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.
Moin, P., Reynolds, W. C. & Ferziger, J. H. 1978 Large eddy simulation of incompressible turbulent channel flow. Dept Mech. Engng, Stanford Univ. Rep. TF-12.
Nishioka, M., Asai, M. & Iida, S. 1980 An experimental investigation of the secondary instability. In Laminar-Turbulent Transition (ed. R. Eppler & H. Fasel), p. 37. Springer.
Nishioka, M., Asai, M. & Iida, S. 1981 Wall phenomena in the final stage of transition to turbulence. In Transition and Turbulence (ed. R. E. Meyer), p. 113. Academic.
Orszag, S. A. 1976 Turbulence and transition: A progress report. In Proc. 5th Intl Conf. on Numerical Methods in Fluid Dynamics (ed. A. I. van de Vooren & P. J. Zandbergen). Lecture Notes in Physics, vol. 59, p. 32. Springer.
Orszag, S. A. 1972 Comparison of pseudo spectral and spectral approximation. Stud. Appl. Maths 51, 253.
Orszag, S. A. & Kells, L. C. 1980 Transition to turbulence in plane Poiseuille and plane Couette flow. J. Fluid Mech. 96, 159.
Orszag, S. A. & Patera, A. T. 1981 Subcritical transition to turbulence in planar shear flows. Phys. Rev. Lett. 45, 989.
Perry, A. E., Lim, T. T. & Teh, E. W. 1981 A visual study of turbulent spots. J. Fluid Mech. 104, 381.
Reynolds, W. C. 1967 A Fortran IV program for solution of the Orr—Sommerfeld equation. Dept Mech. Engng, Stanford Univ. Rep. FM-4.
Smith, C. R. & Metzler, S. P. 1983 The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27.
Smith, C. R. & Schwartz, S. R. 1983 Observation of streamwise rotation in the near-wall region of a turbulent boundary layer. Phys. Fluids 26, 641.
Tani, I. 1969 Boundary layer transition. Ann. Rev. Fluid Mech. 1, 169.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Theodorsen, T. 1955 The structure of turbulence. In 50 Jahre Grenzschichtforschung, p. 55. Vieweg.
Wray, A. & Hussaini, M. Y. 1984 Numerical experiments in boundary-layer stability. Proc. R. Soc. Lond. A 392, 373.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *

CAPTCHA *

Skip to the audio challenge
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 9 *
Loading metrics...

Abstract views

Total abstract views: 57 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 13th June 2018. This data will be updated every 24 hours.

Cancel
Confirm
×