Advertisement

Vortex Shedding for Flow Over a Square Cylinder Close to a Moving Ground

  • S. Bhattacharyya
  • D. K. Maiti
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 75)

Abstract

Flow past a cylinder of square cross-section placed near a plane sliding wall has been investigated. This work aims to address questions regarding the characteristics of the vortex shedding regime and its modifications with the variation of wall to cylinder gap height and Reynolds number. The governing unsteady Navier-Stokes equations are discretised through the finite volume method. A SIMPLER algorithm has been used to compute the discretised equations iteratively. A uniform velocity profile equal in speed of the wall speed impinges on the cylinder. An alternate vortex shedding is found in the cylinder near wake for Reynolds number (based on cylinder height) greater than 80. The boundary layer along the moving wall separates and the secondary vortex forms in the region downstream of the cylinder. Unlike the stationary ground case where the vortex shedding suppression occurs beyond a critical value of gap length, here the vortex shedding takes place even at low gap length ratio 0.1. We found that the cylinder experiences a upward force at higher values of Reynolds number. The gap flow is strong and the velocity profiles overshoots its free stream value within this region.

Keywords

Reynolds Number Shear Layer Strouhal Number Bluff Body Stationary Wall 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bearmen PW and Zdravkovich MM. Flow around a circular cylinder near a plane boundary. J. Fluid Mech. 1978; 89: 33–47.CrossRefGoogle Scholar
  2. 2.
    Bosch G and Rodi W. Simulation of vortex shedding past a square cylinder near a wall. Int. J. Heat Fluid Flow. 1996; 17: 267–275.CrossRefGoogle Scholar
  3. 3.
    Lei C, Cheng L and Kavanagh K. Re-examination of the effect of a plane boundary on force and vortex shedding of a circular cylinder. J. Wind Eng. Ind. Aerodyn. 1999; 80: 263–286.CrossRefGoogle Scholar
  4. 4.
    Zavatto L and Pedrizzetti G. Flow about a circular cylinder between parallel walls. J. Fluid Mech. 2001; 440: 1–25.Google Scholar
  5. 5.
    Bearmen PW. Review-bluff body flows applicable to vehicle aerodynamics. J. Fluid Eng. 1980; 102: 265–274.CrossRefGoogle Scholar
  6. 6.
    Arnal MP, Georing DJ and Humphrey JAC. Vortex shedding from a bluff body adjacent to a plane sliding wall. J. Fluids Eng. 1991; 113: 384–398.CrossRefGoogle Scholar
  7. 7.
    Kumarasamy S and Barlow JB. Computation of unsteady flow over a half-cylinder close to a moving wall. J. Wind Eng. Ind. Aerodyn. 1997; 69–71: 239-248.Google Scholar
  8. 8.
    Senior AE and Zhang X. The force and pressure of a diffuser-equipped bluff body in ground effct. J. Fluids Eng. 2001; 123: 105–111.CrossRefGoogle Scholar
  9. 9.
    Jones MA and Smith FT. Fluid motion for car undertrays in ground effect. J. Eng. Maths. 2003; 45: 309–334.MathSciNetzbMATHCrossRefGoogle Scholar
  10. 10.
    Patanka SV. Numerical heat transfer and fluid flow. 1980; Hemisphere, Washington DC.Google Scholar
  11. 11.
    Davis RW and Moore EF. A numerical study of vortex shedding from rectangles. J. Fluid Mech. 1982; 116: 475–506.zbMATHCrossRefGoogle Scholar
  12. 12.
    Franke R and Rodi W. Numerical calculation of laminar vortex shedding flow past cylinders. J. Wind Engg. Ind. Aerodyn. 1990; 35: 237–257.CrossRefGoogle Scholar
  13. 13.
    Treidler EB. An experimental and numerical investigation of flow past ribs in a channel. Ph.D. Thesis. 1991; University of California at Berkeley, Berkeley,CA.Google Scholar
  14. 14.
    Li G and Humphrey JAC. Numerial modelling of confined flow past a cylinder of a square cross-section at various orientiation. Int. J. Num. Meth. Fluids 1995; 20: 1215–1236.zbMATHCrossRefGoogle Scholar
  15. 15.
    Hwang RR and Yao C. A numerical study of vortex shedding from a square cylinder with ground effect. J. Fluid Engg. 1997; 119: 512–518.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • S. Bhattacharyya
    • 1
  • D. K. Maiti
    • 1
  1. 1.Department of Mathematics, Indian Institute of Technology KharagpurIndia

Personalised recommendations