POF Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Physics of Fluids / Volume 22 / Issue 5 / ARTICLES / Laminar Flows

Phys. Fluids 22, 053605 (2010); http://dx.doi.org/10.1063/1.3407667 (8 pages)

Investigation of vortex shedding behind a porous square cylinder using lattice Boltzmann method

V. Babu and Arunn Narasimhan

Department of Mechanical Engineering, Indian Institute of Technology, Madras, Chennai 600036, India

View MapView Map

(Received 14 October 2009; accepted 4 March 2010; published online 24 May 2010)

Incompressible, two-dimensional flow around a porous square cylinder placed in an infinite stream is simulated using the d2q9i model of the lattice Boltzmann method. The Reynolds number (based on the height of the cylinder) is kept at 100. The porosity ϕ of the cylinder is varied from 0.25 to 0.9 and permeability through the Darcy number Da from 0.0001 to 0.1. The velocity data at a point downstream of the cylinder are collected at each time step. Discrete Fourier transform analysis of this data is carried out to extract the dominant frequencies of the unsteady flow field behind the cylinder. Strouhal numbers (St) calculated using these dominant frequencies are compared with those of corresponding solid cylinder to bring out the effect of the porous medium on the wake structure and the vortex shedding. At Re = 100, as the nondimensional permeability Da is increased from the solid cylinder limit, more flow results through the porous cylinder. The reduction in the value of the dominant frequency with increasing porous medium permeability Da and porosity ϕ indicates a substantial reduction in the vortex shedding. Corresponding static pressure plots and St values corroborate this observation at Re = 100 and 200.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. PROBLEM DESCRIPTION
  3. SOLUTION METHODOLOGY
    1. d2q9 model
    2. d2q9i model
    3. Implementation on nonuniform grid
    4. Dimensionless parameters
  4. RESULTS AND DISCUSSION
  5. CONCLUSIONS

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

discrete Fourier transforms, flow simulation, flow through porous media, lattice Boltzmann methods, permeability, porosity, vortices, wakes

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3407667

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    Z. Guo and T. S. Zhao, “Lattice Boltzmann model for incompressible flows through porous media,” Phys. Rev. E 66, 036304 (2002).

    X. Nie and N. S. Martys, “Breakdown of Chapman–Enskog expansion and the anisotropic effect for lattice-Boltzmann models of porous flow,” Phys. Fluids 19, 011702 (2007)PHFLE6000019000001011702000001.


For access to citing articles, you need to log in.


Figures (9) Tables (1)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Investigation of vortex shedding behind a porous square cylinder using lattice Boltzmann method
  2. Twenty years of experimental and direct numerical simulation access to the velocity gradient tensor: What have we learned about turbulence?
  3. Nonmodal and nonlinear dynamics of a volatile liquid film flowing over a locally heated surface
  4. Measurements of tangential momentum accommodation coefficient for various gases in plane microchannel
  5. Increased robustness for fluidic self-assembly
Go to AIP Home
Copyright © American Institute of Physics
close