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Effect of Free Stream Turbulence on Flow Past a Circular Cylinder at Low Reynolds Numbers

  • Vinoth Kumar
  • Mrityunjay Singh
  • Murugan ThangaduraiEmail author
  • P. K. Chatterjee
Original Contribution

Abstract

Circular cylinders experiencing different upstream flow conditions have been studied for low Reynolds numbers using hot-wire anemometry and smoke flow visualizations. The upstream condition of the cylinder in the test section is varied using a wire mesh placed at the entrance of the test section. The Reynolds number is varied by varying the diameter of the cylinder and the mean velocity in the test section. Smooth cylinders of diameter varying from 1.25 to 25 mm are used in the present study. A multi-channel hot-wire anemometry is used for measuring the fluctuating velocities in the test section and the wake behind the cylinder. The sectional views of the wake behind the cylinder are obtained using a 4 MP CCD camera, 200 mJ pulsed laser and a fog generator. The flow quality in the test section is examined using higher order turbulence statistics. The effect of free stream turbulence levels and their frequencies on wake structures and the shedding frequencies of circular cylinders are studied in detail. It has been observed that the alteration in wake structure and the shedding frequency depend strongly on the frequencies and the amplitudes of upstream disturbances besides the diameter of the circular cylinder.

Keywords

Wind tunnel Circular cylinder Hot-wire anemometry Flow visualization Free-stream turbulence Higher order moments 

Notations

Re

Reynolds number

D

Diameter of the cylinder

u

Mean velocity along x direction

BL

Boundary layer

x

Distance between the screen and the cylinder

y

Lateral direction from the centre of the tunnel

z

Height of the probe from the bottom of the test section

Subscripts

rms

Root mean square value of the fluctuation

mean

Time-averaged quantity of the fluctuating velocity

cr

Critical condition at which transition takes place

w

Wake width of the circular cylinder

Notes

Acknowledgements

The authors acknowledge the Department of Science and Technology (DST), India for providing a partial financial support through FAST Track Young Scientist Scheme for carrying out the present work.

References

  1. 1.
    Y. Billah, R.H. Scanlan, Resonance, tacoma narrows bridge failure, and undergraduate physics textbooks. Am. J. Phys. 59(2), 118–124 (1991)CrossRefGoogle Scholar
  2. 2.
    F.M. White, Fluid Mechanics, McGraw-Hill Series in Mechanical Engineering, 4th edn. (McGraw-Hill, New York, 1998), p. 296Google Scholar
  3. 3.
    B.R. Munson, F. Young, T.H. Okiishi, Fundamentals of Fluid Mechanics, 5th edn. (Wiley, New York, 2002), p. 526zbMATHGoogle Scholar
  4. 4.
    C.H.K. Williamson, Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539 (1996)MathSciNetCrossRefGoogle Scholar
  5. 5.
    H.J. Niemann, N. Hölscher, A review of recent experiments on the flow past circular cylinders. J. Wind Eng. Ind. Aerodyn. 33, 197–209 (1990)CrossRefGoogle Scholar
  6. 6.
    C.H.K. Williamson, R. Govardhan, Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413–455 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    J.A. Dutton, A.P. Hans, Clear air turbulence: a mystery may be unfolding. Science 167, 937–944 (1970)CrossRefGoogle Scholar
  8. 8.
    T.J. Mueller, L.J. Pohlen, P.E. Cnigliaro, B.J. Jansen Jr., The influence of free-stream disturbances on low Reynolds number airfoil experiments. Exp. Fluids 1, 3–14 (1983)CrossRefGoogle Scholar
  9. 9.
    P.W. Bearman, T. Morel, Effect of free stream turbulence on the flow around bluff bodies. Prog. Aerosp. Sci. 20, 97–123 (1983)CrossRefGoogle Scholar
  10. 10.
    W.Z. Sadeh, H.J. Brauer, A visual investigation of turbulence in stagnation flow about a circular cylinder. J. Fluid Mech. 99, 53–64 (1980)CrossRefGoogle Scholar
  11. 11.
    S.P. Sutera, P.F. Maeder, J. Kestin, On the sensitivity of heat transfer in the stagnation-point boundary layer to free stream vorticity. J. Fluid Mech. 16, 497–520 (1963)CrossRefzbMATHGoogle Scholar
  12. 12.
    K.C.S. Kwok, Turbulence effect on flow around circular cylinder. J. Eng. Mech. 112(11), 1181–1197 (1986)CrossRefGoogle Scholar
  13. 13.
    T. Murugan, M. Singh, V. Kumar, P.K. Chatterjee, Effect of free stream turbulence on sub-critical flow past a circular cylinder: an experimental investigation, in FMFP2015-5th International and 41st National Conference on Fluid Mechanics and Fluid Power, Paper no. 450, 12–14 Dec 2015Google Scholar
  14. 14.
    T.K. Sengupta, D. Das, P. Mohanamuraly, V.K. Suman, A. Biswas, Modeling free-stream turbulence based on wind tunnel and flight data for instability studies. Int. J. Emerg. Multi Discip. Fluid Sci. 1, 181–199 (2009)Google Scholar
  15. 15.
    T. Murugan, V. Kumar, D.L. Thanki, P.K. Chatterjee, A study on the decay of grid turbulence and its statistics using hot-wire anemometry, in FMFP2015-5th International and 41st National Conference on Fluid Mechanics and Fluid Power, Paper no. 452, 12–14 Dec 2015Google Scholar
  16. 16.
    H.S. Kang, S. Chester, C. Meneveau, Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation. J. Fluid Mech. 480, 129–160 (2003)MathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    L. Mydlarski, Z. Warhaft, On the onset of high-Reynolds-number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331–368 (1996)CrossRefGoogle Scholar
  18. 18.
    W. Marzkirich, Flow Visualization (Academic Press, New York, 1977)Google Scholar
  19. 19.
    T. Asanuma, Flow Visualization (Hemisphere Publishing co., Tokyo, 1977)Google Scholar
  20. 20.
    D. H. Stedman, G. R. Carignan, Flow visualization using ozone, Flow Visualization III (Hemisphere, 1985)Google Scholar
  21. 21.
    M. Gharib, D. Kremers, M.M. Koochesfahani, M. Kemp, Leonardo’s vision of flow visualization. Exp. Fluids 33, 219–223 (2002)CrossRefGoogle Scholar
  22. 22.
    B.M. Sumer, Lecture Notes on Turbulence (Technical University of Denmark, Denmark, 2005)Google Scholar
  23. 23.
    T. Murugan, A. K. Sonu, M. Singh, Subhendra, V. Kumar, R. P. Singh, P. K. Chatterjee, Measurement of turbulence statistics using hot-wireanemometry, in ICRTET 2014, International Conference on Recent Trends in Engineering and Technology, Cochin, India, 18–19 Jan 2014Google Scholar
  24. 24.
    H. Eckelman, The structure of the viscous sub-layer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439 (1974)CrossRefGoogle Scholar
  25. 25.
    H. Tennekes, J.L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1972)zbMATHGoogle Scholar
  26. 26.
    U. Frisch, Turbulence, the Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995)CrossRefzbMATHGoogle Scholar
  27. 27.
    H. Schlichting, Boundary Layer Theory, 7th edn. (McGraw-hill, New York, 1979)zbMATHGoogle Scholar
  28. 28.
    L.D. Landau, E.M. Lifshitz, Fluid Mechanics, 2nd edn. (Butterworth & Heinemann, Oxford, 1989)Google Scholar
  29. 29.
    F. Homann, Einfluss groesser zaehigkeit bei stroemung um zylinder. Forschung auf dem Gebiete des Ingenieurwesens 7(1), 1–10 (1936)CrossRefGoogle Scholar
  30. 30.
    L.S.G. Kovasznay, Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc. R. Soc. Lond. A 198, 174–190 (1949)CrossRefGoogle Scholar

Copyright information

© The Institution of Engineers (India) 2018

Authors and Affiliations

  1. 1.Department of Aeronautical EngineeringDhanalakshmi Srinivasan College of Engineering and TechnologyChennaiIndia
  2. 2.Asansol Engineering CollegeAsansolIndia
  3. 3.CSIR-Central Mechanical Engineering Research Institute (CSIR-CMERI)DurgapurIndia

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