LES of the flow around two cylinders in tandem

Abstract The flow around an arrangement of two cylinders in tandem exhibits a remarkably complex behaviour that is of interest for many engineering problems, such as environmental flows or structural design. In the present paper, a Large Eddy Simulation using a staggered Cartesian grid has been performed for the flow around two cylinders in tandem of diameter D = 20 mm and height H = 50 mm submerged in an open channel with height h = 60 mm . The two axes have a streamwise spacing of 2D. The Reynolds number is 1500, based on the cylinder diameter and the free-stream velocity u ∞ . The results obtained show that no vortex shedding occurs in the gap between the two cylinders where the separated shear layers produced by the upstream cylinder reattach on the surface of the downstream one. The flow separates on the top of the first cylinder with the presence of two spiral nodes known as owl-face configuration. On top of the downstream cylinder, the flow is attached. A complex mean flow develops in the gap and also behind the second cylinder. Comparisons with PIV measurements reveal good general agreement, but there are differences concerning some details of the flow in the gap between the cylinders.

[1]  Dirk Michaelis,et al.  Tomographic and time resolved PIV measurements on a finite cylinder mounted on a flat plate , 2008 .

[2]  S. C. Luo,et al.  UNIFORM FLOW PAST ONE (OR TWO IN TANDEM) FINITE LENGTH CIRCULAR CYLINDER(S) , 1996 .

[3]  B. Sunden,et al.  Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement , 1991 .

[4]  W. Price,et al.  A CELL BOUNDARY ELEMENT METHOD APPLIED TO LAMINAR VORTEX-SHEDDING FROM ARRAYS OF CYLINDERS IN VARIOUS ARRANGEMENTS , 2000 .

[5]  H. L. Stone ITERATIVE SOLUTION OF IMPLICIT APPROXIMATIONS OF MULTIDIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS , 1968 .

[6]  Seung-O Park,et al.  Vortical flow over the free end surface of a finite circular cylinder mounted on a flat plate , 2003 .

[7]  Stephen R. Turnock,et al.  Measurements of the flow over a low-aspect-ratio cylinder mounted on a ground plane , 2005 .

[8]  J. Délery Physics of Vortical Flows , 1992 .

[9]  M. M. Zdravkovich,et al.  The effects of interference between circular cylinders in cross flow , 1987 .

[10]  R. Verzicco,et al.  Large Eddy Simulation in Complex Geometric Configurations Using Boundary Body Forces , 2000 .

[11]  M. Païdoussis,et al.  TANDEM CYLINDERS IN IMPULSIVELY STARTED FLOW , 1999 .

[12]  F. Wubs Notes on numerical fluid mechanics , 1985 .

[13]  Tamotsu Igarashi,et al.  Characteristics of the Flow around Two Circular Cylinders Arranged in Tandem : 1st Report , 1981 .

[14]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[15]  日本機械学会 Bulletin of JSME , 1958 .

[16]  P. Moin,et al.  Eddies, streams, and convergence zones in turbulent flows , 1988 .

[17]  Michael S. Triantafyllou,et al.  Three-dimensionality effects in flow around two tandem cylinders , 2006, Journal of Fluid Mechanics.

[18]  Koichi Suzuki,et al.  Visualization of flow pattern around two-in-tandem cylinders and advection of coherent turbulence-structures , 2007 .

[19]  Sanjay Mittal,et al.  Unsteady incompressible flows past two cylinders in tandem and staggered arrangements , 1997 .

[20]  Y. Tanida,et al.  Stability of a circular cylinder oscillating in uniform flow or in a wake , 1973, Journal of Fluid Mechanics.

[21]  F. Tremblay,et al.  An Algorithm to Treat Flows Bounded by Arbitrarily Shaped Surfaces with Cartesian Meshes , 2002 .

[22]  Peter Stansby,et al.  Flow around multiple cylinders by the vortex method , 1987 .

[23]  T. Igarashi Characteristics of the flow around two circular cylinders arranged in tandem. I , 1981 .

[24]  Jochen Fröhlich,et al.  LES of the flow around a circular cylinder of finite height , 2004 .

[25]  P. Bates,et al.  3D numerical modelling of open-channel flow with submerged vegetation , 2001 .