WJM  Vol.5 No.10 , October 2015
Rotational Oscillation Effect on Flow Characteristics of a Circular Cylinder at Low Reynolds Number
ABSTRACT
Two dimensional numerical simulations of flow around a rotationally oscillating circular cylinder were performed at Re = 1000. A wide range of forcing frequencies, fr, and three values of oscillation amplitudes, A, are considered. Different vortex shedding modes are observed for a fixed A at several values of fr, as well as for a fixed fr at different values of A. The 2C mode of vortex shedding was obtained in the present study. It is important to point out that this mode has not been observed by other investigators for rotationally oscillating case. Also, it is verified that this mechanism has great influence on the drag coefficient for high frequency values. Furthermore, the lift and pressure coefficients and the power spectra density are also analyzed.

Cite this paper
Silva, A. , Silveira-Neto, A. and Lima, A. (2015) Rotational Oscillation Effect on Flow Characteristics of a Circular Cylinder at Low Reynolds Number. World Journal of Mechanics, 5, 195-209. doi: 10.4236/wjm.2015.510019.
References
[1]   Anagnostopoulos, P. (2002) Flow-Induced Vibrations in Engineering Practice. WIT Press, Southampton, Boston.

[2]   Naudascher, E. and Rockwell, D. (1994) Flow-Induced Vibrations: An Engineering Guide. Dover Publications, Inc., Mineola, New York.

[3]   Païdoussis, M.P. (2004) Fluid-Structure Interactions: Slender Structures and Axial Flow. Vol. 2, Elsevier Academic Press, San Diego.

[4]   Chou, M.H. (1997) Synchronization of Vortex Shedding from a Cylinder under Rotary Oscillation. Computers & Fluids, 36, 755-774.
http://dx.doi.org/10.1016/S0045-7930(97)00028-5

[5]   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.
http://dx.doi.org/10.1006/jcph.2000.6556

[6]   Lee, S.-J. and Lee, J.-Y. (2006) Flow Structure of Wake behind a Rotationally Oscillating Circular Cylinder. Journal of Fluids and Structures, 22, 1097-1112.
http://dx.doi.org/10.1016/j.jfluidstructs.2006.07.008

[7]   Du, L. and Dalton, C. (2013) LES Calculation for Uniform Flow past Rotationally Oscillating Cylinder. Journal of Fluids and Structures, 42, 40-54.
http://dx.doi.org/10.1016/j.jfluidstructs.2013.05.008

[8]   Cheng, M., Liu, G.R. and Lam, K.Y. (2001) Numerical Simulation of Flow Past a Rotationally Oscillating Cylinder. Computers & Fluids, 30, 365-392.
http://dx.doi.org/10.1016/S0045-7930(00)00012-8

[9]   Cheng, M., Chew, Y.T. and Luo, S.C. (2001) Numerical Investigation of a Rotationally Oscillating Cylinder in Mean Flow. Journal of Fluids and Structures, 15, 981-1007.
http://dx.doi.org/10.1006/jfls.2001.0387

[10]   Srinivas, K. and Fujisawa, N. (2003) Effect of Rotational Oscillation upon Fluid Forces about a Circular Cylinder. Journal of Wind Engineering and Industrial Aerodynamics, 91, 637-652.
http://dx.doi.org/10.1016/S0167-6105(02)00460-9

[11]   Ray, P. and Christofides, P.D. (2005) Control of Flow over a Cylinder Using Rotational Oscillations. Computers and Chemical Engineering, 29, 877-885.
http://dx.doi.org/10.1016/j.compchemeng.2004.09.014

[12]   Peskin, C.S. (1977) Numerical Analysis of Blood Flow in the Heart. Journal of Computational Physics, 25, 220-252.
http://dx.doi.org/10.1016/0021-9991(77)90100-0

[13]   Nicolás, A. and Bermúdez, B. (2007) Viscous Incompressible Flows by the Velocity-Vorticity Navier-Stokes Equations. CMES: Computer Modeling in Engineering & Sciences, 20, 73-83.

[14]   Báez, E. and Nicolás, A. (2009) Recirculation of Viscous Incompressible Flows in Enclosures. CMES: Computer Modeling in Engineering & Sciences, 41, 107-130.

[15]   Lima e Silva, A.L.F., Silva, A.R. and Silveira-Neto, A. (2007) Numerical Simulation of Two-Dimensional Complex Flows around Bluff Bodies Using the Immersed Boundary Method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, XXIX, 378-386.
http://dx.doi.org/10.1590/s1678-58782007000400006

[16]   Peskin, C.S. and McQueen, D.M. (1994) A General Method for the Computer Simulation of Biological Systems Inter-acting with Fluids. SEB Symposium on Biological Fluid Dynamics, Leeds, England, 5-8 July 1994.

[17]   Vertnik, R. and Sarler, B. (2009) Solution of Incompressible Turbulent Flow by a Mesh-Free Method. CMES: Computer Modeling in Engineering & Sciences, 44, 65-95.

[18]   Chorin, A. (1968) Numerical Solution of the Navier-Stokes Equations. Mathematics of Computations, 22, 745-762.
http://dx.doi.org/10.1090/S0025-5718-1968-0242392-2

[19]   Schneider, G.E. and Zedan, M.A. (1981) Modified Strongly Implicit Procedure for the Numerical Solution of Field Problems. Numerical Heat Transfer, 4, 1-19.
http://dx.doi.org/10.1080/01495728108961775

[20]   Ferziger, J.H. and Peric, M. (2002) Computational Methods for Fluid Dynamics. 3rd Edition, Springer-Verlag, Berlin, 423 p.
http://dx.doi.org/10.1007/978-3-642-56026-2

[21]   Tuszynski, J. and Löhner, R. (1998) Control of a Kármán Vortex Flow by Rotational Oscillations of a Cylinder. George Mason University, USA, 1-12.

[22]   Williamson, C.H.K. and Jauvtis, N. (2004) A High-Amplitude 2T Mode of Vortex-Induced Vibration for a Light Body in X-Y Motion. European Journal of Mechanics—B/Fluids, 23, 107-114.
http://dx.doi.org/10.1016/j.euromechflu.2003.09.008

[23]   Fujisawa, N., Asano, Y., Arakawa, C. and Hashimoto, T. (2005) Computational and Experimental Study on Flow around a Rotationally Oscillating Circular Cylinder in a Uniform Flow. Journal of Wind Engineering and Industrial Aerodynamics, 93, 137-153.
http://dx.doi.org/10.1016/j.jweia.2004.11.002

 
 
Top