Research Papers: Flows in Complex Systems

Numerical Simulation of Flow Past an Elliptical Cylinder Undergoing Rotationally Oscillating Motion

[+] Author and Article Information
Esam M. Alawadhi

Department of Mechanical Engineering,
Kuwait University,
P. O. Box # 5969,
Safat 13060, Kuwait
e-mail: esam.alawadhi@ku.edu.kw

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 4, 2013; final manuscript received December 4, 2014; published online January 14, 2015. Assoc. Editor: D. Keith Walters.

J. Fluids Eng 137(3), 031106 (Mar 01, 2015) (9 pages) Paper No: FE-13-1652; doi: 10.1115/1.4029323 History: Received November 04, 2013; Revised December 04, 2014; Online January 14, 2015

The finite element method is used to simulate the near-wake of an elliptical cylinder undergoing rotationally oscillating motion at low Reynolds number, 50 ≤ Re ≤ 150. Reynolds number is based on equivalent diameter of the ellipse. The rotationally oscillating motion was carried out by varying the angle of attack between 10 deg and 60 deg, while the considered oscillation frequencies are between St/4 and 4 × St, where St is the Strouhal number of a stationary elliptical cylinder with zero angle of attack. Fluid flow results are presented in terms of lift and drag coefficients for rotationally oscillating case. The details of streamlines and vorticity contours are also presented for a few representative cases. The result indicates that at when the frequency is equal to the Strouhal number, the root-mean-square (RMS) of lift coefficient reaches its local minimum, while the average of drag coefficient reaches its local maximum. Increasing the Reynolds number increases the RMS of lift coefficient and decreases average of drag coefficient.

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Gowda, Y., Patnaik, B., Narayana, P., and Seetharamu, K., 1998, “Finite Element Simulation of Transient Laminar Flow and Heat Transfer past an In-Line Tube Bank,” Int. J. Heat Fluid Flow, 19(1), pp. 49–55. [CrossRef]
Zhang, L., and Balachandar, S., 2006, “Onset of vortex Shedding in a Periodic Array of Circular Cylinders,” ASME J. Fluids Eng., 128(5), pp. 1101–1105. [CrossRef]
Stanescu, G., Fowler, A., and Bejan, A., 1996, “The Optimal Spacing of Cylinders in Free-Stream Cross-Flow Forced Convection,” Int. J. Heat Mass Transfer, 39(2), pp. 311–317. [CrossRef]
Zukauskas, A., 1987, “Heat Transfer From Tubes in Cross Flow,” Adv. Heat Transfer, 18, pp. 87–157. [CrossRef]
El-Shaboury, A., and Ormiston, S., 2005, “Analysis of Laminar Forced Convection of Air Cross flow in In-Line Tube Banks With Non-Square Arrangements,” Num. Heat Transfer Part A, 48(2), pp. 99–126. [CrossRef]
Dehkordi, B., and Jafari, H., 2010, “On the Suppression of Vortex Shedding From Circular Cylinders Using Detached Short Splitter-Plate,” ASME J. Fluids Eng., 132(4), p. 044501. [CrossRef]
Faruquee, Z., Ting, D., Fartaj, A., Barron, R., and Carriveau, R., 2007, “The Effect of Axis Ratio on Laminar Fluid Flow Around an Elliptical Cylinder,” Int. J. Heat Fluid Flow, 28(5), pp. 1178–1189. [CrossRef]
Ahmad, E., and Badr, H., 2002, “Mixed Convection From an Elliptical Tube at Different Angle of Attack Placed in a Fluctuating Free Stream,” Heat Transfer Eng., 23(5), pp. 45–61. [CrossRef]
D'Alessio, S., Saunders, M., and Harmsworth, D., 2003, “Forced and Mixed Convection Heat Transfer Form Accelerated Flow Past an Elliptical Cylinder,” Int. J. Heat Mass Transfer, 46(16), pp. 2927–2946. [CrossRef]
Alawadhi, E., 2010, “Laminar Forced Convection Flow Past an In-Line Elliptical Cylinder Array With Inclination,” ASME J. Heat Transfer, 132(7), p. 071701. [CrossRef]
Zhao, M., Tong, F., and Cheng, L., 2012, “Numerical Simulation of Two-Degree-of-Freedom Vortex-Induced Vibration of a Circular Cylinder Between Two Lateral Plane Walls in Steady Currents,” ASME J. Fluids Eng., 134(10), p. 104501. [CrossRef]
Kumar, S., Cantu, C., and Gonzalez, B., 2011, “Flow Past a Rotational Cylinder at Low and High Rotational Rates,” ASME J. Fluid Eng., 133(4), p. 041201. [CrossRef]
Koopman, G., 1967, “The Vortex Makes of Vibrating Cylinders at Low Reynolds Numbers,” J. Fluids Mech., 28(3), pp. 501–512. [CrossRef]
Nobari, M., and Naderan, H., 2006, “A Numerical Study of Flow Past a Cylinder With Cross Flow and Inline Oscillation,” Comput. Fluids, 35(4), pp. 393–415. [CrossRef]
Zheng, Z., and Zhang, N., 2008, “Frequency Effects on Lift and Drag for Flow Past an Oscillating Cylinder,” J. Fluids Struct., 24(3), pp. 382–399. [CrossRef]
Mathelin, L., Batalle, F., and Lallemand, A., 2002, “The Effect of Uniform Blowing on Flow Past a Cylinder,” ASME J. Fluids Eng., 124(2), pp. 452–464. [CrossRef]
Yoon, H., Lee, J., and Chun, H., 2007, “A Numerical Study of the Fluid Flow and Heat Transfer Around a Circular Cylinder Near a Moving Wall,” Int. J. Heat Mass Transfer, 50(17–18), pp. 3507–3520. [CrossRef]
Nobari, M., and Ghazanfarian, J., 2009, “A Numerical Investigation of Fluid Flow over a Rotating Cylinder With Cross Flow Oscillation,” Comput. Fluids, 38(10), pp. 2026–2036. [CrossRef]
Chen, S., and Yen, R., 2011, “Resonant Phenomenon of Elliptical Cylinder Flows in a Subcritical Regime,” Phys. Fluids, 23(11), p. 114105. [CrossRef]
D'Alessio, S., and Kocabiyik, S., 2001, “Numerical Simulation of the Flow Induced by a Transversely Oscillating Inclined Elliptic Cylinder,” J. Fluids Struct., 15(5), pp. 691–715. [CrossRef]
Raman, S., Parakash, K., and Vengadesan, S., 2013, “Effect of Axis Ratio on Fluid Flow Around an Elliptic Cylinder—A Numerical Study,” ASME J. Fluids Eng., 135(11), p. 111201. [CrossRef]
Lienhard, J. H., and Liu, L. W., 1967, “Locked-In Vortex Shedding Behind Oscillating Circular Cylinders, With Application to Transmission Lines,” ASME Presented at the Fluids Engineering Conference, Chicago, IL, May 8–11, ASME Paper No. 67-FE-24.
Ganvira, V., Gauthama, B., Polc, H., Bhamlad, M., Sclesi, L., Thaokarb, R., Lelec, A., and Mackleye, M., 2011, “Extrudate Swell of Linear and Branched Polyethylenes: ALE Simulations and Comparison With Experiments,” J. Non-Newtonian Fluid Mech., 166(1–2), pp. 12–24. [CrossRef]
Huhes, T., Liu, W., and Zimmermann, T., 1981, “Lagrangian–Eulerian Finite Element Formulation for Incompressible Viscous Flow,” Comput. Methods Appl. Mech. Eng., 29(3), pp. 329–349. [CrossRef]
Pin, F., Idelsohn, S., Onate, E., and Aubry, R., 2007, “The ALE/Lagrangian Finite Element Method: A New Approach to Computation of Free-Surface Flows and Fluid-Object Interactions,” Comput. Fluids, 36(1), pp. 27–38. [CrossRef]
Atkinson, K. A., 1988, An Introduction to Numerical Analysis, Section 8.9, 2nd ed., Wiley, Canada.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York.
AIAA, 1998, “Guide for the Verification and Validation of Computational Fluid Dynamics Simulations,” AIAA Paper No. G-077-1998.
Meneghini, J., Saltara, F., and Ferrari, J., 2001, “Numerical Simulation of Flow Interference Between Two Circular Cylinders in Tandem and Side-By-Side Arrangement,” J. Fluids Struct., 15(2), pp. 27–350. [CrossRef]
Guilmineau, E., and Queutey, P., 2002, “A Numerical Simulation of Vortex Shedding From an Oscillating Circular Cylinder,” J. Fluids Struct., 16(6), pp. 773–794. [CrossRef]
Harichandan, A., and Roy, A., 2010, “Numerical Investigation of Low Reynolds Number Flow Past Two and Three Circular Cylinders Using Unstructured Grid CFR Scheme,” Int. J. Heat Fluid Flow, 31(2), pp. 154–171. [CrossRef]
Lu, L., Qin, J., Teng, B., and Li, Y., 2011, “Numerical Investigation of Lift Suppression by Feedback Rotary Oscillation of Circular at Low Reynolds Number,” Phys. Fluids, 23(3), p. 033601. [CrossRef]
Jackson, C., 1987, “A Finite Element Study of the Onset of Vortex Shedding in Flow Past Variously Shaped Bodies,” J. Fluid Mech., 182, pp. 23–45. [CrossRef]
Williamson, C., and Roshko, A., 1988, “Vortex Formation in the Wake of an Oscillating Cylinder,” J. Fluid Struct., 2(4), pp. 355–381. [CrossRef]


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Fig. 1

(a) Schematic diagrams of the elliptical cylinder in a channel and (b) the elliptical cylinder with the important geometrical parameters

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Fig. 2

(a) Mesh of the computational domain and (b) close-up view of the mesh at the elliptical cylinder region during the rotationally oscillating motion

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Fig. 3

Instantaneous streamlines during a complete vortex shedding cycle for Re = 150, F = St, θo = 30 deg, and at t = (a) 0, (b) τ/8, (c) τ/4, (d) 3 τ/8, (e) τ/2,(f) 5 τ/8, (g) 3 τ/4, (h) 7 τ/8, and (i) τ

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Fig. 4

Instantaneous vortices contours during a complete vortex shedding cycle for Re = 150, F = St, θo = 30 deg, and at t = (a) 0, (b) 2 τ/8, and (c) 3 τ/4

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Fig. 5

The effect of the oscillation frequency on the (a) lift and (b) drag coefficients for Re = 150 and θo = 30 deg

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Fig. 6

The effect of the angle of attack on the instantaneous (a) lift, and (b) drag coefficients for Re = 150, and F = St

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Fig. 7

The effect of the oscillation frequency on the average: (a) RMS of lift and (b) drag coefficients for different angles of attack with Re = 150

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Fig. 8

The effect of the Reynolds number on the average: (a) RMS of lift and (b) drag coefficients for different angles of attack with F/St = 1




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