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Large eddy simulation of flow around two side-by-side spheres

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Abstract

Large eddy simulation, using a dynamic Smagorinsky sub-grid scale, is used for the prediction of flow structures around two identical spheres fixed side-by-side at a subcritical flow regime with the Reynolds number equal to 5,000. The QUICK discretization method is applied to discretize the convection terms of the Navier-Stokes equation by means of the finite volume approach. This work focuses mainly on the wake structures downstream of the two interactive spheres located at three various dimensionless separation distances between spheres such as G/D = 1.50, 2.00, and 3.00. The obtained results revealed that the interaction between wakes affects the flow structures downstream of spheres. The rate of this interaction is strongly altered as a function of separation distance. On the other hand, some flow data such as mean drag and mean lift coefficients are affected due to the wake interactions. Finally, examination of the Reynolds stress variation along the different lateral axis, L/D, revealed that the nozzle effect does not play a significant role on the turbulence characteristics beyond the G/D = 3.00.

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References

  1. D. H. Kim, K. S. Yang and M. Senda, Large eddy simulation of turbulent flow past a square cylinder confined in a channel, Computers & Fluids, 33 (2004) 81–96.

    Article  MATH  Google Scholar 

  2. K. Lam, Y. F. Lin, L. Zou and Y. Liu, Investigation of turbulent flow past a yawed wavy cylinder, Journal of Fluids and Structures, 26 (2010) 1078–1097.

    Article  Google Scholar 

  3. Z. Lin and L. Yu-Feng, Force reduction of flow around a sinusoidal wavy cylinder, Journal of Hydrodynamics, 21(3) (2009) 308–315.

    Article  Google Scholar 

  4. J. Shao and G. Zhang, Large eddy simulation of flow past two side-by-side circular cylinders, International Journal of Computational Fluid dynamics, 22(6)(2008) 393–404.

    Article  MathSciNet  MATH  Google Scholar 

  5. G. S. Constantinescu and K. D. Squires, LES and DES investigation of turbulent flow over a sphere at Re=10,000, Flow Turbulence and Combustion, 70 (2003) 267–298.

    Article  MATH  Google Scholar 

  6. R. Hassanzadeh, B. Sahin and M. Ozgoren, Numerical investigation of flow around a sphere, International Journal of Computational Fluid Dynamics, 25(10) (2011) 535–545.

    Article  MathSciNet  Google Scholar 

  7. R. C. Chen and J. L. Wu, The flow characteristics between two interactive spheres, Journal of Chemical Engineering Science, 55 (2000) 1143–1158.

    Article  Google Scholar 

  8. I. Kim, S. Elghobashi and W. Sirignano, Three-dimensional flow over two spheres placed side-by-side, Journal of Fluid Mechanics, 246 (1993) 465–488.

    Article  MATH  Google Scholar 

  9. L. Schouveiler, A. Brydon, T. Leweke and M. C. Thompson, Interactions of wakes of two spheres placed side-by-side, European Journal of Mechanics B/Fluids, 23 (2004) 137–145.

    Article  MATH  Google Scholar 

  10. R. C. Chen and Y. N. Lu, The flow characteristics of an interactive particle at low Reynolds numbers, International Journal of Multiphase Flow, 25 (1999) 1645–1655.

    Article  MATH  Google Scholar 

  11. A. Jadoon, L. Prahl and J. Revstedt, Dynamic interaction of fixed dual spheres for several configurations and inflow conditions, European Journal of Mechanics B/Fluids, 29 (2010) 43–52.

    Article  MATH  Google Scholar 

  12. J. Smagorinsky, General circulation experiments with the primitive equations, The basic experiment, Monthly Weather Review, 91 (1963) 99–165.

    Article  Google Scholar 

  13. M. Lesieur, O. Metais and P. Comte, Large-eddy simulations of turbulence, 1st ed., Cambridge University Press, New York (2005).

    Book  MATH  Google Scholar 

  14. D. C. Wilcox, Turbulence modeling for CFD, 2nd ed., DCW Industries, Inc., California (1994).

    Google Scholar 

  15. I. Afgan, Large eddy simulation of flow over cylindrical bodies using unstructured finite volume meshes, Ph.D. thesis, Manchester University, School of Mechanical, Aerospace and Civil Engineering (2007).

    Google Scholar 

  16. S. V. Patankar, Numerical heat transfer and fluid flow, NY: Taylor & Francis, New York (1980).

    MATH  Google Scholar 

  17. E. Achenbach, Vortex shedding from spheres, Journal of Fluid Mechanics, 62 (1974) 209–221.

    Article  Google Scholar 

  18. G. Yun, D. Kim and H. Choi, Vortical structures behind a sphere at subcritical Reynolds numbers, Physics of Fluids, 18 (2006) 015102.

    Article  Google Scholar 

  19. A. G. Tomboulides, Direct and large-eddy simulation of wake flows: flow past a sphere, Ph.D. dissertation, Princeton University, Princeton, NJ (2006).

    Google Scholar 

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Correspondence to Besir Sahin.

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Recommended by Associate Editor Yang Na

Rahim Hassanzadeh was born in Iran in 1978. He graduated from Mechanical Engineering Dept. of Urimia University in 2000. He has Ph.D. degree from Mechanical Engineering Dept. of Cukurova University, Turkey. Currently, he works as a Assistant Professor at Urimia University in Iran.

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Hassanzadeh, R., Sahin, B. & Ozgoren, M. Large eddy simulation of flow around two side-by-side spheres. J Mech Sci Technol 27, 1971–1979 (2013). https://doi.org/10.1007/s12206-013-0514-z

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  • DOI: https://doi.org/10.1007/s12206-013-0514-z

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