Abstract
By applying the phase-plane technique to velocity data in the near-wake of a circular cylinder, three types of critical points are identified. Foci and saddle points occur most frequently, but a significant number of nodes is also found. Flow topology and properties associated with these points are examined in some detail. While foci and saddle points are associated with maxima of local vorticity and strain rate respectively, nodes are associated with a strong local divergence, indicating significant local three-dimensionality. The interrelationship between critical points is also discussed.
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References
CANTWELL, B. and COLES, D. : 1983. An Experimental Study of Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder, J. Fluid Mech., 136, 321–374.
CHEN, J., CANTWELL, B. and MANSOUR, N. N. : 1989. The Topology and Vorticity Dynamics of a Three-Dimensional Plane Compressible Wake, Proc. Tenth Australasian Fluid Mechanics Conference, Melbourne, p.5.1.
CHEN, J. H., CHONG, M. S., SORIA, J., SONDERGAARD, R., PERRY, A. E., ROGERS, M, MOSER, R. and CANTWELL, B. J. : 1990. A Study of the Topology of Dissipating Motions in Direct Numerical Simulations of time-Developing Compressible and Incompressible Mixing Layers, CTR Proc. Sum mer Program 1990, 139–141.
CHONG, M. S., PERRY, A. E. and CANTWELL, B. : 1988. A General Classification of Three-Dimensional Flow Patterns, Stanford, SUDAAR 572.
HAYAKAWA, M. and HUSSAIN, F. : 1989. Three-Dimensionality of organised Structures in a Plane Turbulent Wake, J. Fluid Mech., 206, 375–404.
HUNT, J. C. R., WRAY, A. A. and MOIN, P. : 1988. Eddies, Streams, and Convergence Zones in Turbulent Flows, CTR Proc. Summer Program 1988, Report CTR-S88, 193–208.
HUSSAIN, A. K. M. F. and HAYAKAWA, M. : 1987. Eduction of Large-Scale Organized Structures in a Turbulent Plane Wake, J. Fluid Mech., 180, 193–229.
KAPLAN, W. : 1958. Ordinary Differential Equations, Reading, Mass., Addison-Wesley Pub. Co., pp.414–423.
KIYA, M. and MATSUMURA, M. : 1985. Turbulence Structure in Intermediate Wake of a Circular Cylinder, Bulletin of JSME, 28, 2617–2624.
KROGSTAD, P-Å., ANTONIA, R. A. and BROWNE, L. W. B. : 1992. Structure Investigation in a Turbulent Boundary Layer Using Orthogonal X-Wire Arrays, Proc. Eleventh Australasian Fluid Mechanics Conf., Hobart, 251–254.
PERRY, A. E. : 1984. A Study of Degenerate and Nondegenerate Critical Points in Three-Dimensional Flow Fields, Forschungsbericht, Institut für Experimentelle Strömungsmechanik, Göttingen, p.63.
PERRY, A. E. and CHONG, M. S. : 1987. A Description of Eddying Motions and Flow Patterns Using Critical-Point Concepts, Ann. Rev. Fluid Mech., 19, 125–155.
PERRY, A. E. and STEINER, T. R. : 1987. Large-Scale Vortex Structures in Turbulent Wakes Behind Bluff Bodies. Part 1. Vortex Formation Process, J. Fluid Mech., 174, 233–270.
SORIA, J. and CANTWELL, B. J. : 1992. The Identification and Classification of Topological Structures in Free Shear Flows, IUTAM Symposium “Eddy Structure Identification in Turbulent Shear Flows”, Poitiers, VII.12.1–VII.12.5.
ZAMAN, K. B. M. Q. and HUSSAIN, A. K. M. F. : 1981. Taylor Hypothesis and Large-Scale Coherent Structures, J. Fluid Mech., 112, 379–396.
ZHOU, Y. and ANTONIA, R. A. : 1992. Convection Velocity Measurements in a Cylinder Wake, Expts. in Fluids, 13, 63–70.
ZHOU, Y. and ANTONIA, R. A. : 1993a. Critical points in a Turbulent Near-Wake, J. Fluid Mech. (submitted).
ZHOU, Y. and ANTONIA, R. A. : 1993b. A Study of Turbulent Vortices in the Near-Wake of a Cylinder, J. Fluid Mech. (to appear).
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© 1993 Springer Science+Business Media Dordrecht
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Zhou, Y., Antonia, R.A. (1993). A Study of Flow Properties Near Critical Points. In: Bonnet, J.P., Glauser, M.N. (eds) Eddy Structure Identification in Free Turbulent Shear Flows. Fluid Mechanics and Its Applications, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2098-2_13
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DOI: https://doi.org/10.1007/978-94-011-2098-2_13
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