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.
Similar content being viewed by others
References
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.
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.
Z. Lin and L. Yu-Feng, Force reduction of flow around a sinusoidal wavy cylinder, Journal of Hydrodynamics, 21(3) (2009) 308–315.
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.
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.
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.
R. C. Chen and J. L. Wu, The flow characteristics between two interactive spheres, Journal of Chemical Engineering Science, 55 (2000) 1143–1158.
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.
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.
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.
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.
J. Smagorinsky, General circulation experiments with the primitive equations, The basic experiment, Monthly Weather Review, 91 (1963) 99–165.
M. Lesieur, O. Metais and P. Comte, Large-eddy simulations of turbulence, 1st ed., Cambridge University Press, New York (2005).
D. C. Wilcox, Turbulence modeling for CFD, 2nd ed., DCW Industries, Inc., California (1994).
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).
S. V. Patankar, Numerical heat transfer and fluid flow, NY: Taylor & Francis, New York (1980).
E. Achenbach, Vortex shedding from spheres, Journal of Fluid Mechanics, 62 (1974) 209–221.
G. Yun, D. Kim and H. Choi, Vortical structures behind a sphere at subcritical Reynolds numbers, Physics of Fluids, 18 (2006) 015102.
A. G. Tomboulides, Direct and large-eddy simulation of wake flows: flow past a sphere, Ph.D. dissertation, Princeton University, Princeton, NJ (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-013-0514-z