Research Papers: Fundamental Issues and Canonical Flows

Numerical Simulation of Fluid Flow Past an Oscillating Triangular Cylinder in a Channel

[+] Author and Article Information
Esam M. Alawadhi

Department of Mechanical Engineering,
Kuwait University,
P.O. Box 5969,
Safat, 13060, Kuwait

Manuscript received March 3, 2012; final manuscript received December 16, 2012; published online March 21, 2013. Assoc. Editor: D. Keith Walters.

J. Fluids Eng 135(4), 041202 (Mar 21, 2013) (10 pages) Paper No: FE-12-1105; doi: 10.1115/1.4023654 History: Received March 03, 2012; Revised December 16, 2012

The structure of laminar incompressible flow in a two-dimensional horizontal channel past a triangular cylinder undergoing vertical oscillating motion is simulated using the finite element method. The oscillating motion is carried out for a fixed Reynolds number equal to 100 and dimensionless oscillating amplitudes of 0.125, 0.25, 0.5, and 1, while the dimensionless forced oscillation frequencies are chosen from St/4 to 4 St, where St is the natural Strouhal number of a stationary triangular cylinder. The arbitrary Lagrangian–Eulerian kinematics is utilized to simulate the oscillating motion. The present problem is first solved for a stationary triangular cylinder to obtain the natural Strouhal number. Then, the fluid dynamics for an oscillating triangular cylinder are solved in terms of instantaneous drag and lift, mean of drag, and root mean square (RMS) of lift coefficients. Detailed illustrations of flow streamlines and vortices contours are presented. The results indicate that when the oscillating frequency is equal to the natural Strouhal number of the stationary cylinder, the RMS of lift coefficient reaches its maximum and the oscillating amplitude has no effect at high oscillating frequency.

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Fig. 1

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

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Fig. 2

Three considered meshes for mesh independent test with element number (a) 41,375, (b) 99,575, and (c) 269,575 elements

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Fig. 3

Close-up view of the mesh at the triangular cylinder region during the oscillating motion

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Fig. 4

Instantaneous velocity streamlines during a complete cycle for Re = 100, F = St, β = 17, Ay = 0.5, and at t = (a) 0, (b) τ/4, (c) τ/2, and (d) 3 τ/4

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Fig. 5

Instantaneous vortices contours during a complete cycle for Re = 100, F = St, β = 17, Ay = 0.5, and at t = (a) 0, (b) τ/4, (c) τ/2, and (d) 3 τ/4

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Fig. 6

The effect of the oscillation frequency on the (a) CL and (b) CD coefficients for Re = 100, β = 17, and Ay = 0.5

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Fig. 7

The effect of the oscillation frequency on the (a) CL and (b) CD coefficients for Re = 100, β = 17, and F = St

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Fig. 8

The effect of the blockage ratio on the (a) CL and (b) CD coefficients for Re = 100, Ay = 0.5, and F = St

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Fig. 9

The effect of the oscillation frequency on the (a) lift coefficients and (b) average drag for oscillating amplitude, β = 17, and Re = 100



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