Flow past a circular cylinder at low Reynolds number: Oblique vortex shedding

Oblique shedding in the laminar regime for the flow past a nominally two-dimensional circular cylinder has been investigated numerically via a stabilized finite element method. No-slip condition on one of the sidewalls leads to the formation of a boundary layer which promotes oblique vortex shedding. Computations are carried out for three values of Reynolds number (Re): 60, 100, and 150. Cellular shedding is observed in all cases. Three cells are observed along the span for the Re=60 flow while only two cells are formed at Re=100 and 150. Spotlike vortex dislocations form at the junction of the cells. The frequency of the appearance of the dislocations increases with Re. Cellular shedding leads to low frequency modulation in the time histories of aerodynamic coefficients. Lowest value of drag is achieved at a time instant corresponding to the appearance of a new dislocation in the near wake. The vortex shedding frequency as well as the oblique angle of the primary vortices is found to vary with time for t...

[1]  C. Williamson The natural and forced formation of spot-like ‘vortex dislocations’ in the transition of a wake , 1992, Journal of Fluid Mechanics.

[2]  S. Balachandar,et al.  Low-frequency unsteadiness in the wake of a normal flat plate , 1997, Journal of Fluid Mechanics.

[3]  Thomas Leweke,et al.  The flow behind rings: bluff body wakes without end effects , 1995, Journal of Fluid Mechanics.

[4]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[5]  C. Williamson The Existence of Two Stages in the Transition to Three-Dimensionality of a Cylinder Wake , 1988 .

[6]  Osamu Inoue,et al.  Vortex shedding from a circular cylinder of finite length at low Reynolds numbers , 2008 .

[7]  S. Mittal Computation of three-dimensional flows past circular cylinder of low aspect ratio , 2001 .

[8]  S. Mittal,et al.  Vortex-induced vibrations of a circular cylinder at low Reynolds numbers , 2007, Journal of Fluid Mechanics.

[9]  C. Williamson Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers , 1989, Journal of Fluid Mechanics.

[10]  S. Mittal,et al.  Prediction of the critical Reynolds number for flow past a circular cylinder , 2006 .

[11]  Peter A. Monkewitz,et al.  A model for the formation of oblique shedding and ‘‘chevron’’ patterns in cylinder wakes , 1992 .

[12]  C. Williamson Vortex Dynamics in the Cylinder Wake , 1996 .

[13]  Michael Schumm,et al.  Self-excited oscillations in the wake of two-dimensional bluff bodies and their control , 1994, Journal of Fluid Mechanics.

[14]  Yuji Suzuki,et al.  Beat of sound generated by flow past three side-by-side square cylinders , 2007 .

[15]  Morteza Gharib,et al.  An experimental study of the parallel and oblique vortex shedding from circular cylinders , 1991, Journal of Fluid Mechanics.

[16]  J. Gerrard,et al.  An experimental investigation of the end effects on the wake of a circular cylinder towed through water at low Reynolds numbers , 1981, Journal of Fluid Mechanics.

[17]  Helmut Eckelmann,et al.  Vortex splitting and its consequences in the vortex street wake of cylinders at low Reynolds number , 1989 .

[18]  B. R. Noack,et al.  On the transition of the cylinder wake , 1995 .

[19]  Helmut Eckelmann,et al.  Influence of end plates and free ends on the shedding frequency of circular cylinders , 1982, Journal of Fluid Mechanics.

[20]  Michael Gaster,et al.  Vortex shedding from slender cones at low Reynolds numbers , 1969, Journal of Fluid Mechanics.

[21]  E. Berger,et al.  Periodic Flow Phenomena , 1972 .

[22]  David R. Williams,et al.  Oblique and parallel wave interaction in the near wake of a circular cylinder , 1993 .