The flow dynamics is analyzed through two-dimensional numerical
simulations around two circular cylinders arranged side by side, with 4
combinations of alternating motions. All simulations are performed for Re =
1000, amplitude of oscillation (A)
equal to 3, frequency ratio (fr)
of 0.5, specific rotation (α) equal
to 0.5 and different values of spacing ratio (L/D). It is verified that
the combination of the type of movement, together with the position of one
cylinder in relation to the other, exerts significant influence on the flow
dynamics, as well as on the pressure distribution around the cylinder surface
and on the average values of the fluid dynamics coefficients. The smallest
value of the average pressure coefficient (Cp = -3.3), is obtained for the oscillating
cylinder when placed side by side with the clockwise rotation cylinder, case 3
and L/D = 1.5. On the other hand, the lowest mean drag coefficient (Cd = 1.0788), is obtained for
the cylinder with counterclockwise rotation, located in the lower position in
relation to oscillating cylinder in the upper position, with spacing between them of 1.5. Furthermore, it is observed that the
rotation movement is more effective in reducing drag than the
rotation-oscillation movement, for the studied frequency ratio.
References
[1]
Aguedal, L., Semmar, D., Berrouk, A.S., Azzi, A. and Oualli, H. (2018) 3D Vortex Structure Investigation Using Large Eddy Simulation of Flow around a Rotary Oscillating Circular Cylinder. European Journal of Mechanics/BFluids, 71, 113-125. https://doi.org/10.1016/j.euromechflu.2018.04.001
[2]
Nobari, M.R.H. and Ghazanfarian, J. (2009) A Numerical Investigation of Fluid Flow over a Rotating Cylinder with Cross Flow Oscillation. Computers & Fluids, 38, 2026-2036. https://doi.org/10.1016/j.compfluid.2009.06.008
[3]
Mittal, H.V.R. and Al-Mdallal, Q.M. (2018) A Numerical Study of Forced Convection from an Isothermal Cylinder Performing Rotational Oscillations in a Uniform Stream. International Journal of Heat and Mass Transfer, 127, 357-374. https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.022
[4]
Da Silva, A.R. and de Lima, A.M.G. (2020) Analysis of Flow Dynamics around Two Rotating Circular Cylinders in Tandem and Side by Side. International Journal of Advanced Engineering Research and Science (IJAERS), 7, 366-379. https://doi.org/10.22161/ijaers.76.45
[5]
Da Silva, A.R., Silveira-Neto, A. and de Lima, A.M.G. (2015) Rotational Oscillation Effect on Flow Characteristics of a Circular Cylinder at Low Reynolds Number. World Journal of Mechanics, 5, 195-209. https://doi.org/10.4236/wjm.2015.510019
[6]
Da Silva, A.R., Silveira-Neto, A. and de Lima, A.M.G. (2016) Flow-Induced Vibration of a Circular Cylinder in Cross-Flow at Moderate Reynolds Number. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38, 1185-1197. https://doi.org/10.1007/s40430-015-0314-8
[7]
Hu, X., Zhang, X. and You, Y. (2019) On the Flow around Two Circular Cylinders in Tandem Arrangement at High Reynolds Numbers. Ocean Engineering, 189, Article ID: 106301. https://doi.org/10.1016/j.oceaneng.2019.106301
[8]
Cimarelli, A., Leonforte, A. and Angeli, D. (2018) Direct Numerical Simulation of the Flow around a Rectangular Cylinder at a Moderately High Reynolds Number. Journal of Wind Engineering & Industrial Aerodynamics, 174, 39-49. https://doi.org/10.1016/j.jweia.2017.12.020
[9]
Vicente-Ludlam, D., Barrero-Gil, A. and Velazquez, A. (2017) Flow-Induced Vibration of a Rotating Circular Cylinder Using Position and Velocity Feedback. Journal of Fluids and Structures, 72, 127-151. https://doi.org/10.1016/j.jfluidstructs.2017.05.001
[10]
Vijay, K., Srinil, N., Zhu, H., Bao, Y., Zhou, D. and Han, Z. (2020) Flow-Induced Transverse Vibration of an Elliptical Cylinder with Different Aspect Ratios. Ocean Engineering, 214, Article ID: 107831. https://doi.org/10.1016/j.oceaneng.2020.107831
[11]
Narváez, G.F., Schettini, E.B. and Silvestrini, J.H. (2020) Numerical Simulation of Flow-Induced Vibration of Two Cylinders Elastically Mounted in Tandem by Immersed Moving Boundary Method. Applied Mathematical Modelling, 77, 1331-1347. https://doi.org/10.1016/j.apm.2019.09.007
[12]
Chen, W., Ji, C. and Xu, D. (2019) Vortex-Induced Vibrations of Two Side-by-Side Circular Cylinders with Two Degrees of Freedom in Laminar Cross-Flow. Computers and Fluids, 193, Article ID: 104288. https://doi.org/10.1016/j.compfluid.2019.104288
[13]
Wu, Y.L. (2017) Numerical Simulation of Flows Past Multiple Cylinders Using the hybrid Local Domain Free Discretization and Immersed Boundary Method. Ocean Engineering, 141, 477-492. https://doi.org/10.1016/j.oceaneng.2017.06.045
[14]
Chehreh, B.B. and Javadi, K. (2018) Flow Control around a Circular Cylinder with Swinging Thin Plates. Journal of Fluids and Structures, 81, 738-760. https://doi.org/10.1016/j.jfluidstructs.2018.06.010
[15]
Zheng, H. and Wang, J. (2017) Numerical Study of Galloping Oscillation of a Two-Dimensional Circular Cylinder Attached with Fixed Fairing Device. Ocean Engineering, 130, 274-283. https://doi.org/10.1016/j.oceaneng.2016.11.074
[16]
Ping, H., Zhu, H., Zhang, K., Wang, R., Zhou, D., Bao, Y. and Han, Z. (2020) Wake Dynamics behind a Rotary Oscillating Cylinder Analyzed with Proper Orthogonal Decomposition. Ocean Engineering, 218, Article ID: 108185. https://doi.org/10.1016/j.oceaneng.2020.108185
[17]
Peskin, C.S. (1977) Numerical Analysis of Blood Flow in the Heart. Journal of Computational Physics, 25, 220-252. https://doi.org/10.1016/0021-9991(77)90100-0
[18]
Chen, Y., Djidjeli, K. and Xie, Z-T. (2020) Large Eddy Simulation of Flow Past Stationary and Oscillating Square Cylinders. Journal of Fluids and Structures, 97, Article ID: 103107. https://doi.org/10.1016/j.jfluidstructs.2020.103107
[19]
Khalili, M.E., Larsson, M. and Müller, B. (2018) Immersed Boundary Method for Viscous Compressible Flows around Moving Bodies. Computers and Fluids, 170, 77-92. https://doi.org/10.1016/j.compfluid.2018.04.033
[20]
Lo, D.C., Lee, C.-P. and Lin, I.-F. (2018) An Efficient Immersed Boundary Method for Fluid Flow Simulations with Moving Boundaries. Applied Mathematics and Computation, 328, 312-337. https://doi.org/10.1016/j.amc.2018.01.022
[21]
Peskin, C.S. and McQueen, D.M. (1995) A General Method for the Computer Simulation of Biological Systems Interacting with Fluids. SEB Symposium on Biological Fluid Dynamics, 49, 265-276.
[22]
Lima E Silva, A.L.F., Silveira-Neto, A. and Damasceno, J.J.R. (2003) Numerical Simulation of Two-Dimensional Flows over a Circular Cylinder Using the Immersed Boundary Method. Journal of Computational Physics, 189, 351-370. https://doi.org/10.1016/S0021-9991(03)00214-6
[23]
Chorin, A. (1968) Numerical Solution of the Navier-Stokes Equations. Mathematics of Computations, 22, 745-762. https://doi.org/10.1090/S0025-5718-1968-0242392-2
[24]
Schneider, G.E. and Zedan, M. (2007) A Modified Strongly Implicit Procedure for the Numerical Solution of Field Problems. Numerical Heat Transfer, 4, 1-19. https://doi.org/10.1080/01495728108961775
[25]
Pope, S.B. (2005) Turbulent Flows. Cambridge University Press, Cambridge, MA.
[26]
Reynolds, O. (1895) On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion. Philosophical Transactions of the Royal Society of London, 186, 123-164. https://doi.org/10.1098/rsta.1895.0004
[27]
Smagorinsky, J. (1963) General Circulation Experiments with Primitive Equations, Monthly Weather Review, 91, 99-164. https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
[28]
He, J.-W., Glowinski, R., Metcalfe, R., Nordlander, A. and Periaux, J. (2000) Active Control and Drag Optimization for Flow Past a Circular Cylinder: I. Oscillatory Cylinder Rotation. Journal of Computational Physics, 163, 83-117. https://doi.org/10.1006/jcph.2000.6556
[29]
Williamson, C.H.K. and Jauvtis, N. (2004) A High-Amplitude 2T Mode of Vortex-Induced Vibration for a Light Body in XY Motion. European Journal of Mechanics-B/Fluids, 23, 107-114. https://doi.org/10.1016/j.euromechflu.2003.09.008