Streakline visualization of the structures in the near wake of a circular cylinder in sinusoidally oscillating flow

Abstract A numerical investigation of three-dimensional sinusoidally oscillating flow around a circular cylinder was conducted to examine mushroom-type structures in the near wake that are manifestations of the Honji instability. The focus of this paper is to examine the flow structure through the analysis of the streaklines in the flow. Through the use of streakline visualizations and their correlation with vorticity in the flow field, the onset and development of the mushroom-type structures is followed. The parameter value range is 0.1

[1]  Anthony T. Patera,et al.  Secondary instability of wall-bounded shear flows , 1983, Journal of Fluid Mechanics.

[2]  G. G. Stokes On the Effect of the Internal Friction of Fluids on the Motion of Pendulums , 2009 .

[3]  David A. Lane Visualizing Time-Varying Phenomena In Numerical Simulations Of Unsteady Flows , 1996 .

[4]  B. Fornberg Generation of finite difference formulas on arbitrarily spaced grids , 1988 .

[5]  Charles Dalton,et al.  The onset of three-dimensionality in an oscillating flow past a fixed circular cylinder , 1999 .

[6]  Chuen-Yen Chow,et al.  Numerical simulation of streaklines in unsteady flows , 1989 .

[7]  Hiroyuki Honji,et al.  Streaked flow around an oscillating circular cylinder , 1981, Journal of Fluid Mechanics.

[8]  Spencer J. Sherwin,et al.  Formulation of a Galerkin spectral element-fourier method for three-dimensional incompressible flows in cylindrical geometries , 2004 .

[9]  Francesco Ballio,et al.  Three-dimensional analysis of the unidirectional oscillatory flow around a circular cylinder at low Keulegan–Carpenter and $\beta$ numbers , 2004, Journal of Fluid Mechanics.

[10]  Turgut Sarpkaya,et al.  Force on a circular cylinder in viscous oscillatory flow at low Keulegan—Carpenter numbers , 1986, Journal of Fluid Mechanics.

[11]  Peter W. Bearman,et al.  A visual study of the flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers and low Stokes numbers , 1990, Journal of Fluid Mechanics.

[12]  Pete Suthon Instability and quasi-coherent structures in sinusoidal flow over a circular cylinder , 2009 .

[13]  Philip Hall,et al.  On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid , 1983, Journal of Fluid Mechanics.

[14]  Xi-Yun Lu,et al.  Application of Large Eddy Simulation to an Oscillating Flow Past a Circular Cylinder , 1997 .

[15]  Turgut Sarpkaya,et al.  Experiments on the stability of sinusoidal flow over a circular cylinder , 2002, Journal of Fluid Mechanics.

[16]  Ming Zhao,et al.  Direct numerical simulation of oscillatory flow around a circular cylinder at low Keulegan–Carpenter number , 2010, Journal of Fluid Mechanics.

[17]  H. Blackburn,et al.  The primary and secondary instabilities of flow generated by an oscillating circular cylinder , 2006, Journal of Fluid Mechanics.

[18]  J. Eaton,et al.  Development of a portable laser sheet , 1987 .

[19]  Bengt Fornberg,et al.  Classroom Note: Calculation of Weights in Finite Difference Formulas , 1998, SIAM Rev..