Applied Scientific Research

, Volume 55, Issue 3, pp 187–210 | Cite as

A study of unsteady wake flows past a two-dimensional square cylinder with and without planar jet injection into the vortex formation region

  • P. Koutmos
  • C. Mavridis
  • D. Papailiou
Article

Abstract

The present work describes the study of unsteady turbulent wake flows past two-dimensional square cylinders with and without planar jet injection into the vortex formation region. An experimental investigation provided LDV measurements of the mean and turbulent near and middle wake development at Reynolds numbers of 8520 and 14285 and for various jet to approach flow velocity ratios. In the computational work a Large Eddy Simulation employing the Smagorinsky subgrid scale model was initially performed for the higher Reynolds number plane wake configuration. Further, a hybrid phase-averaged Navier-Stokes model was formulated that encompasses aspects from both the LES formalism and the conventional eddy-viscosity procedures. Comparisons of the hybrid model calculations with the LES and measurements demonstrated the ability of the hybrid method to reproduce the range of complex unsteady flow phenomena studied here.

Key words

bluff-body wake flow LES of vortex shedding flow hybrid eddy-viscosity models 

Nomenclature

C

Courant number

CD

drag coefficient

CS

Smagorinsky's model coefficient

CP

pressure coefficient

Cμ

turbulent viscosity coefficient

D

square cylinder diameter

f

frequency

H

channel height

k

turbulence kinetic energy

L,l

turbulence length scales

u,v,w

velocities

U0

approach flow velocity

P

static pressure

St

Strouhal number

t0

characteristic time (D/U0)

xi

coordinate directions (i=1,2,3)

Greek symbols

δij

Kronecker delta (δ ij =0 forij;δ ij =1 fori=j)

νt

eddy-viscosity coefficient

λ

non-dimensional diffusion coefficient

ρ

density

τij

subgrid-stress tensor

Operators

〈·〉

phase-averaged

\(\bar \cdot\)

time-averaged

\(\tilde \cdot\)

grid-scale velocity (LES)

·′

turbulent fluctuation

·″

subgrid-scale fluctuation (LES)

·‴

periodic fluctuation

Subscripts

c

explicitly (cumulatively) calculated

i

1, 2, 3 Cartesian coordinates

i,j,k

tensor notation

t

turbulent flow, total

SGS

subgrid (e.g.kSGS)

Δ

characteristic filter length

ɛ

turbulence energy dissipation rate

ν

molecular viscosity

Superscripts

+

wall coordinates

n

time level

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • P. Koutmos
    • 1
  • C. Mavridis
    • 1
  • D. Papailiou
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of PatrasPatras, RioGreece

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