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On the inversion of the von Kármán street in the wake of a confined square cylinder

Published online by Cambridge University Press:  15 February 2007

SIMONE CAMARRI
Affiliation:
Dipartimento di Ingegneria Aerospaziale, Università di Pisa, Italy
FLAVIO GIANNETTI
Affiliation:
Dipartimento di Ingegneria Meccanica, Università di Salerno, Italy

Abstract

This paper considers the incompressible two-dimensional laminar flow around a square cylinder symmetrically positioned in a channel. In this type of flow, even if vortices of opposite sign are alternately shed from the body into the wake as in the unconfined case, an inversion of their position with respect to the flow symmetry line takes place further downstream. A numerical analysis is carried out to investigate the physical origin of this phenomenon and to characterize the position in the wake at which the vortices cross the symmetry line. It is shown that, for low to moderate blockage ratios, the fundamental cause of the inversion of the vortices is the amount of vorticity present in the incoming flow, and a dynamic interpretation in terms of vorticity interference in the wake is given. Further insight is gained through a linear stability analysis of the vortex shedding instability.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Bernsdorf, J., Zeiser, T. H., Brenner, G. & Durst, F. 1998 Simulation of a 2D channel flow around a square obstacle with lattice-Boltzmann(BGK) automata. Intl J. Mod. Phys. C 9 (8), 11291141.CrossRefGoogle Scholar
Breuer, M., Bernsdorf, J., Zeiser, T. & Durst, F. 2000 Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume. Intl J. Heat Fluid Flo. 21, 186196.CrossRefGoogle Scholar
Camarri, S. & Giannetti, F. 2006 Analysis of the wake dynamics of a confined square cylinder. Tech. Rep. ADIA 2006-2. Dipartimento di Ingegneria Aerospaziale, Univ. di Pisa.Google Scholar
Davis, R. W., Moore, E. F. & Purtell, L. P. 1984 A numerical-experimental study of confined flow around rectangular cylinders. Phys. Fluid. 27, 4659.CrossRefGoogle Scholar
Giannetti, F. & Luchini, P. 2007 Structural sensitivity of the cylinder wake's first instability J. Fluid Mech. (to appear).CrossRefGoogle Scholar
Guo, W. B., Wang, N. C., Shi, B. C. & Guo, Z. L. 2003 Lattice-BGK simulation of a two-dimensional channel flow around a square cylinder. Chinese Phys. 12, 6774.Google Scholar
Hammond, D. & Redekopp, L. 1997 Global dynamics of symmetric and asymmetric wakes. J. Fluid Mech. 331, 231260.CrossRefGoogle Scholar
Hunt, J. C. R., Wray, A. A. & Moin, P. 1988 Eddies, stream, and convergence zones in turbulent flows. Tech. Rep. CTR-S88. Center for Turbulence Research, Stanford University.Google Scholar
Kelkar, K. M. & Patankar, S. V. 1992 Numerical prediction of vortex shedding behind square cylinders. Intl J. Numer. Methods Fluid. 14, 327341.CrossRefGoogle Scholar
Monkewitz, P. A., Huerre, P. & Chomaz, J. M. 1993 Global linear stability analysis of weakly non-parallel shear flows. J. Fluid Mech. 251, 120.CrossRefGoogle Scholar
Rahnama, M. & Hadi-Moghaddam, H. 2005 Numerical investigation of convective heat transfer in unsteady laminar flow over a square cylinder in a channel. Heat Transfer Engn. 26 (10), 21–29.Google Scholar
Robichaux, J., Balachandar, J. & Vanka, S. P. 1999 Three-dimensional Floquet instability of the wake of square cylinder. Phys. Fluid. 11, 560578.CrossRefGoogle Scholar
Saha, A. K., Muralidhar, K. & Biswas, G. 2000 Vortex structures and kinetic energy budget in two-dimensional flow past a square cylinder. Comp. Fluid. 29, 669694.CrossRefGoogle Scholar
Sahin, M. & Owens, R. G. 2004 A numerical investigation of wall effects up to high blockage ratios on two-dimensional flow past a confined circular cylinder. Phys. Fluid. 16, 13051320.CrossRefGoogle Scholar
Sharma, A. & Eswaran, V. 2005 Effect of channel confinement on the two-dimensional laminar flow and heat transfer across a square cylinder. Numer. Heat Transfer A 47, 79107.Google Scholar
Suzuki, H., Inoue, Y., Nishimura, T., Fukutani, K. & Suzuki, K. 1993 Unsteady flow in a channel obstructed by a square rod (crisscross motion of vortex). Intl J. Heat Fluid Flo. 14, 29.CrossRefGoogle Scholar
Suzuki, K. & Suzuki, H. 1994 Instantaneous structure and statical feature of unsteady flow in a channel obstructed by a square rod. Intl J. Heat Fluid Flo. 15, 426437.CrossRefGoogle Scholar
Turki, S., Abbassi, H. & Nasrallah, S. B. 2003 Effect of the blockage ratio on the flow in a channel with built-in square cylinder. Comput. Mech. 33, 2229.CrossRefGoogle Scholar
Yao, M., Nakatani, M. & Suzuki, K. 1995 Flow visualization and heat transfer experiments in a turbulent channel flow obstructed with an inserted square rod. Intl J. Heat Fluid Flo. 16, 389397.CrossRefGoogle Scholar
Zovatto, L. & Pedrizzetti, G. 2001 Flow about a circular cylinder between parallel walls. J. Fluid Mech. 440, 125.CrossRefGoogle Scholar