Commenced in January 2007
Paper Count: 30172
Numerical Simulations of Cross-Flow around Four Square Cylinders in an In-Line Rectangular Configuration
Abstract:A two-dimensional numerical simulation of crossflow around four cylinders in an in-line rectangular configuration is studied by using the lattice Boltzmann method (LBM). Special attention is paid to the effect of the spacing between the cylinders. The Reynolds number ( Re ) is chosen to be e 100 R = and the spacing ratio L / D is set at 0.5, 1.5, 2.5, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 and 10.0. Results show that, as in the case of four cylinders in an inline rectangular configuration , flow fields show four different features depending on the spacing (single square cylinder, stable shielding flow, wiggling shielding flow and a vortex shedding flow) are observed in this study. The effects of spacing ratio on physical quantities such as mean drag coefficient, Strouhal number and rootmean- square value of the drag and lift coefficients are also presented. There is more than one shedding frequency at small spacing ratios. The mean drag coefficients for downstream cylinders are less than that of the single cylinder for all spacing ratios. The present results using the LBM are compared with some existing experimental data and numerical studies. The comparison shows that the LBM can capture the characteristics of the bluff body flow reasonably well and is a good tool for bluff body flow studies.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081125Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2294
 M. M. Zdravkovich, "The effects of interference between circular cylinders in cross flow," Journal of Fluids and Structures, 1, 1987, pp. 235-261.
 A. T. Sayers, "Flow interference between four equispaced cylinders when subjected to a cross flow," Journal of Wind Engineering and Industrial Aerodynamics, 31, 1988, pp. 9-28.
 A. T. Sayers, "Vortex shedding from groups of three and four equispaced cylinders situated in cross flow," Journal of Wind Engineering and Industrial Aerodynamics, 34, 1990, pp. 213-221.
 K. Lam, and S. C. Lo, "A visualization study of cross-flow around four cylinders in a square configuration," Journal of Fluids and Structures, 6, 1992, pp. 109-131.
 K. Lam, and X. Fang, "The effect of interference of four equispaced cylinders in cross flow on pressure and force coefficients," Journal of Fluids and Structures, 9, 1995, pp. 195-214.
 M. M. Zdravkovich, "Flow around circular cylinders", 2003, Oxford University Press, Oxford.
 C. Norberg, "Fluctuating lift on a circular cylinder: review and new measurements", Journal of Fluids and Structures, 17, 2003, pp. 57-96.
 T. Farrant, M. Tan, and W. G. Price, "A cell boundary element method applied to laminar vortex shedding from array of cylinders in various arrangement", Journal of Fluids and Structures, 14, 2000, pp. 375-402.
 K. Lam, R. M. C. So, and J. Y. Li, "Flow around four cylinders in a square configuration using surface vorticity method", In: Proceedings of the Second International Conference on Vortex Methods, Istanbul, Turkey , 2001a.
 K. Lam, J. Y. Li, K. T. Chan, and R. M. C. So, "Velocity map and flow pattern of flow around four cylinders in a square configuration at low Reynolds number and large spacing ratio using particle image velocimetry", In:Proceddings of the Second International Conference on Vortex Methods, Istanbul, Turkey, 2001b.
 K. Lam, W. Q. Gong, and R. M. C. So, "Numerical simulation of crossflow around four cylinders in an in-line square configuration", Journal of Fluids and Structures, 1, 2008, pp. 34-57.
 O. Inoue, W. Iwakami, and N. Hatakeyama, "Aeolian tones radiated from flow past two square cylinders in a side-by-side arrangement", Physics of Fluids, 18, 2006, pp. 1-18.
 Y. Rao, Y. S. Ni, and C. F. Liu, "Flow effect around two square cylinders arranged side by side using lattice Boltzmann method", International Journal of Modern Physics C, 19, 2008, pp. 1683-1694.
 T. Degawa, and T. Uchiyama, "Numerical simulation of bubbly flow around two tandem square section cylinders by vortex method", Journal of Mechanical Engineering Science, 222, 2008, pp. 225-234.
 Y. Shimizu, and Y. Tanida, "Fluid forces acting on cylinders of rectangular cross-section", Trans. JSME, 16, 1978, pp. 465-485.
 A. Okajima, "Strouhal numbers of rectangular cylinders", Journal of Fluid Mechanics, 123, 1982, pp. 379-398.
 C. Norberg, "Flow around rectangular cylinders: Pressure forces and wake frequencies", Journal of Wind Engineering and Industrial Aerodynamics, 49, 1993, pp. 187-196.
 A. Sohankar, L. Davidson, and C. Norberg, "Numerical simulation of unsteady flow around a square two-dimensional cylinder", The Twelfth Australian Fluid Mechanics Conference, The University of Sydney, Australia, 1995, pp. 517-520.
 S. U. Islam, and C. Y. Zhou, "Characteristics of flow past a square cylinder using the lattice Boltzmann method", to be published in Information Technology Journal.
 Z. Guo, B. Shi, and N. Wang, "Lattice BGK Model for Incompressible Navier-Stokes Equation", Journal of Computational Physics, 165, 2000, pp. 288-306.
 P. L. Bhatnagar, E. P. Gross, M. Krook, "A model for collision processes in gases. 1. small amplitude processes in charged and neutral onecomponent systems", Phys. Rev. 94, 1954, pp. 511-514.
 S. Chapman, T. Cowling, and D. Burnet, "The mathematical theory of non-uniform gases. An account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases", Cambridge University Press, 3rd edition, 1990.
 Y. Dazhi, M. Renwei, L. S. Luo, and S. Wei, "Viscous flow computations with the method of lattice Boltzmann equation", Progress in Aerospace Sciences 39, 2003, pp. 329-367.