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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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Figures

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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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