Numerical Simulation of the Low-Reynold Flow through Tandem Circular Cylinders with the Middle Flat Plate
Main Article Content
Abstract
The paper describes an investigation of the dynamic behaviors of the fluid flow through tandem circular cylinders with a middle flat plate. A low Reynold number of 100, which originated from appropriate applications, is considered. The Lattice Boltzmann Method is used and implemented in the Direct Numerical Simulation. The numerical model was well-validated by comparing results from the literature for either a single circular cylinder or two tandem cylinders without flat plates. Consequently, the dynamic behavior of the fluid flow through tandem circular cylinders with a middle flat plate is first revealed in this study. The numerical results show that these behaviors are affected significantly by the presence of the middle flat plate. Moreover, the pattern of vortex formation is also affected considerably when this flat plate is mounted between two cylinders, and this pattern changes at the threshold value of plate size. Hydrodynamic coefficients and the Strouhal number generally decrease with the increase in flat plate size. These results are very useful in reducing the losses caused by vortex formation and increasing the fatigue durability in potential applications, such as ocean engineering and civil engineering.
Keywords
Circular cylinder, direct numerical simulation, Lattice Boltzmann Method, Low-Reynold flow, vortex formation
Article Details
References
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https://doi.org/10.1115/1.3448871
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circular cylinders arranged in tandem: 2nd report,
unique phenomenon at small spacing, Bulletin of
JSME, vol. 27, no. 233, pp. 2380-2387, 1984.
https://doi.org/10.1299/jsme1958.27.2380
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circular cylinders arranged in tandem: 1st report,
Bulletin of JSME, vol. 24, no. 188, pp. 323-331, 1981.
https://doi.org/10.1299/jsme1958.24.323
[4] D. Sumner, Two circular cylinders in cross-flow: a
review, Journal of Fluids Structures, vol. 26, no. 6,
pp. 849-899, Aug. 2010.
https://doi.org/10.1016/j.jfluidstructs.2010.07.001
[5] A. Roshko, On the drag and shedding frequency of
two-dimensional bluff bodies, no. NACA-TN-3169,
Jul. 1954.
[6] C. J. Apelt, G. S. West, and A. A. Szewczyk, The effects
of wake splitter plates on the flow past a circular
cylinder in the range 10^4< R< 5× 10^4, Journal of Fluid
Mechanics, vol. 61, no. 1, pp. 187-198, Oct. 1973.
https://doi.org/10.1017/S0022112073000649
[7] C. J. Apelt and G. S. West, The effects of wake splitter
plates on bluff-body flow in the range 10^4< R< 5× 10^4.
Part 2, Journal of Fluid Mechanics, vol. 71, no. 1,
pp. 145-160, Sep. 1975.
https://doi.org/10.1017/S0022112075002479
[8] P. Vorobieff, D. Georgiev, and M. Ingber, Onset of the
second wake: dependence on the Reynolds number,
Physics of Fluids, vol. 14, no. 7, pp. 53-56, Jul. 2002.
https://doi.org/10.1063/1.1486450
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Springer International Publishing, vol. 10, no. 978-3,
pp. 4-15, 2017.
[10] M. H. Bouzidi, M. Firdaouss, and P. Lallemand,
Momentum transfer of a Boltzmann-lattice fluid with
boundaries, Physics of Fluids vol. 13, no. 11,
pp. 3452-3459, Nov. 2001.
https://doi.org/10.1063/1.1399290
[11] A. J. Ladd, Numerical simulations of particulate
suspensions via a discretized Boltzmann equation.
Part 1. Theoretical Foundation, vol. 271, pp. 285-309,
Jul. 1994.
https://doi.org/10.1017/S0022112094001771
[12] Y. Chen, Q. Cai, Z. Xia, M. Wang, and S. Chen,
Momentum-exchange method in lattice Boltzmann
simulations of particle-fluid interactions, Physical
Review E, vol. 88, no. 1, pp. 013303, Jul. 2013.
https://doi.org/10.1103/PhysRevE.88.013303
[13] Q. Zheng and M. M. Alam, Intrinsic features of flow
past three square prisms in a side-by-side arrangement,
Journal of Fluid Mechanics, vol. 826, pp. 996-1033,
Sep. 2017.
https://doi.org/10.1017/jfm.2017.378
[14] V. D. Duong, V. D. Nguyen, V. T. Nguyen, and
I. L. Ngo, Low-Reynolds-number wake of three tandem
elliptic cylinders, Physics of Fluids, vol. 34, no. 4,
pp. 043605, Apr. 2022.
https://doi.org/10.1063/5.0086685
[15] C. H. K. Williamson, Vortex Dynamics in the Cylinder
Wake, Annual Review of Fluid Mechanics, vol. 28,
pp. 477-539, Jan. 1996.
https://doi.org/10.1146/annurev.fluid.28.1.477
[16] S. Chen and G. D. Doolen, Lattice Boltzmann method
for fluid flows, Annual Review of Fluid Mechanics,
vol. 30, no. 1, pp. 329-364, Jan. 1998.
https://doi.org/10.1146/annurev.fluid.30.1.329
[17] R. Jiang, J. Lin, and X. Ku, Numerical predictions of
flows past two tandem cylinders of different diameters
under unconfined and confined flows, Fluid Dynamics
Research, vol. 46, no. 2, pp. 025506, Feb. 2014.
https://doi.org/10.1088/0169-5983/46/2/025506
[18] B. Sharman, F.-S. Lien, L. Davidson, and C. Norberg,
Numerical predictions of low Reynolds number flows
over two tandem circular cylinders, International
Journal for Numerical Methods in Fluids, vol. 47, no. 5,
pp. 423-447, Feb. 2005.
https://doi.org/10.1002/fld.812
[19] A. Mussa, P. Asinari, and L.-S. Luo, Lattice Boltzmann
simulations of 2D laminar flows past two tandem
cylinders, Journal of Computational Physics, vol. 228,
no. 4, pp. 983-999, Mar. 2009.
https://doi.org/10.1016/j.jcp.2008.10.010