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Topology of fine-scale motions in turbulent channel flow

Published online by Cambridge University Press:  26 April 2006

Hugh M. Blackburn ,
Nagi N. Mansour  and
Brian J. Cantwell
Hugh M. Blackburn
Affiliation:
Department of Mechanical Engineering, Monash University, Clayton, Vic 3168, Australia Current address: CSIRO, Division of Building, Construction and Engineering, PO Box 56, Highett, Vic 3190, Australia.
Nagi N. Mansour
Affiliation:
NASA Ames Research Center, Mail Stop 202A-1, Moffett Field, CA 94035, USA
Brian J. Cantwell
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, USA
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Abstract

An investigation of topological features of the velocity gradient field of turbulent channel flow has been carried out using results from a direct numerical simulation for which the Reynolds number based on the channel half-width and the centreline velocity was 7860. Plots of the joint probability density functions of the invariants of the rate of strain and velocity gradient tensors indicated that away from the wall region, the fine-scale motions in the flow have many characteristics in common with a variety of other turbulent and transitional flows: the intermediate principal strain rate tended to be positive at sites of high viscous dissipation of kinetic energy, while the invariants of the velocity gradient tensor showed that a preference existed for stable focus/stretching and unstable node/saddle/saddle topologies. Visualization of regions in the flow with stable focus/stretching topologies revealed arrays of discrete downstream-leaning flow structures which originated near the wall and penetrated into the outer region of the flow. In all regions of the flow, there was a strong preference for the vorticity to be aligned with the intermediate principal strain rate direction, with the effect increasing near the walls in response to boundary conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 310 , 10 March 1996 , pp. 269 - 292
Copyright
© 1996 Cambridge University Press

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References

Antonia, R. A., Kim, J. & Browne, L. W. B. 1991 Some characteristics of small-scale turbulence in a turbulent duct flow. J. Fluid Mech. 233, 369–388.Google Scholar
Antonia, R. A., Teitel, M., Kim, J. & Browne, L. W. B. 1992 Low-Reynolds-number effects in a fully developed turbulent channel flow. J. Fluid Mech. 236, 579–605.Google Scholar
Ashurst, W. T., Kerstein, A. R., Kerr, R. M. & Gibson, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343–2353.Google Scholar
Cantwell, B. J. 1992 Exact solution of a restricted Euler equation for the velocity gradient tensor. Phys. Fluids A 4, 782–793.Google Scholar
Cantwell, B. J. 1993 On the behaviour of velocity gradient tensor invariants in direct numerical simulations of turbulence. Phys. Fluids A 5, 2008–2013.Google Scholar
Chen, J. H., Chong, M. S., Soria, J., Sondergaard, R., Perry, A. E., Rogers, M., Moser, R. & Cantwell, B. J. 1990 A study of the topology of dissipating motions in direct numerical simulations of time developing compressible and incompressible mixing layers. In Proc. Center for Turbulence Research 1990 Summer Program, pp. 141–164. Center for Turbulence Research, Stanford, CA.
Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A 2, 765–777.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–338.Google Scholar
Jimenez, J. 1992 Kinematic alignment effects in turbulent flows. Phys. Fluids A 4, 652–654.Google Scholar
Jovic, S. 1993 Two-point correlation measurements in a recovering turbulent boundary layer. In Near-Wall Turbulent Flows (ed. R. M. C. So, C. G. Speziale & B. E. Launder), pp. 921–930. Elsevier
Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421–451.Google Scholar
Kim, J. & Antonia, R. A. 1993 Isotropy of the small scales of turbulence at low Reynolds numbers. J. Fluid Mech. 251, 219–238.Google Scholar
Kim, J. & Moin, P. 1986 The structure of the vorticity field in turbulent channel flow. Part 2. Study of ensemble-averaged fields. J. Fluid Mech. 162, 339–363.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.Google Scholar
Lund, T. S. & Rogers, M. M. 1994 An improved measure of strain rate probability in turbulent flows. Phys. Fluids 6, 1838–1847.Google Scholar
Perry, A. E. & Chong, M. S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173–217.Google Scholar
Perry, A. E. & Chong, M. S. 1987 A description of eddying motions and flow patterns using critical point concepts. Ann. Rev. Fluid Mech. 19, 125–155.Google Scholar
Perry, A. E., Li, J. D. & Marušic, I. 1991 Towards a closure scheme for turbulent boundary layers using the attached eddy hypothesis. Phys. Trans. R. Soc. Lond. A 336, 67–79.Google Scholar
Perry, A. E., Marušic, I. & Li, J. D. 1994 Wall turbulence closure based on classical similarity laws and the attached eddy hypothesis. Phys. Fluids 6, 1024–1035.Google Scholar
Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–639.Google Scholar
Robinson, S. K., Kline, S. J. & Spalart, P. R. 1988 Quasi-coherent structures in the turbulent boundary layer: Part II. Verification and new information from a numerically-simulated boundary layer. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 218–247. Hemisphere.
Rodi, W. & Mansour, N. N. 1993 Low Reynolds number k- modelling with the aid of direct simulation data. J. Fluid Mech. 250, 509–529.Google Scholar
Ruetsch, G. R. & Maxey, M. R. 1991 Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3, 1587–1597.Google Scholar
She, Z.-S., Jackson, E. & Orszag, S. A. 1990 Intermittent vortex structures in homogeneous isotropic turbulence. Nature 344, 226–228.Google Scholar
Smith, C. R., Walker, J. D. A., Haidari, A. H. & Sobrun, U. 1991 On the dynamics of near-wall turbulence. Phil. Trans. R. Soc. Lond. A 336, 131–175.Google Scholar
Sondergaard, R., Chen, J. H., Soria, J. & Cantwell, B. J. 1991 Local topology of small scale motions in turbulent shear flows. In Proc. Eighth Symposium on Turbulent Shear Flows (Munich, September).
Soria, J., Sondergaard, R., Cantwell, B. J., Chong, M. S. & Perry, A. E. 1994 A study of the fine-scale motions of incompressible time-developing mixing layers. Phys. Fluids 6, 871–884.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press
Tsinober, A., Kit, E. & Dracos, T. 1992 Experimental investigation of the field of velocity gradients in turbulent flows. J. Fluid Mech. 242, 169–192.Google Scholar
Vieillefosse, P. 1982 Local interaction between vorticity and shear in a perfect incompressible fluid. J. Phys. Paris 43, 837–842.Google Scholar
Vieillefosse, P. 1984 Internal motion of a small element of fluid in an inviscid flow. Physica 125A, 150–162.Google Scholar
Vincent, A. & Meneguzzi, M. 1991 The spatial and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1–20.Google Scholar
Vincent, A. & Meneguzzi, M. 1994 The dynamics of vorticity tubes in homogeneous turbulence. J. Fluid Mech. 258, 245–254.Google Scholar
Zang, T. A. 1991 Numerical simulation of the dynamics of turbulent boundary layers: perspectives of a turbulence simulator. Phil. Trans. R. Soc. Lond. A 336, 95–102.Google Scholar
Zang, T. A., Krist, S. E. & Hussaini, M. Y. 1989 Resolution requirements for numerical simulations of transition. J. Sci. Comput. 4, 198–217.Google Scholar