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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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References

Stremler, M., Salmanzadeh, A., Basu, S., and Williamson, C., 2011, “A Mathematical Model of 2P and 2C Vortex Wakes,” J. Fluids Struct., 27, pp. 774–783. [CrossRef]
Morse, T., and Williamson, C., 2009, “Fluid Forcing, Wake Modes, and Transitions for a Cylinder Undergoing Controlled Oscillations,” J. Fluids Struct., 25, pp. 697–712. [CrossRef]
Singh, S., and Mittal, S., 2005, “Vortex-Induced Oscillations at Low Reynolds Numbers: Hysteresis and Vortex-Shedding Modes,” J. Fluids Struct., 20, pp. 1085–1104. [CrossRef]
Nobari, M., and Naderan, H., 2006, “A Numerical Study of Flow Past a Cylinder With Cross Flow and Inline Oscillation,” Comput. Fluids, 35, 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, pp. 382–399. [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]
Sutherland, B., and Linden, P., 2002, “Internal Wave Excitation by a Vertically Oscillating Elliptical Cylinder,” Phys. Fluids, 14, pp. 721–731. [CrossRef]
Chatterjee, D., Biswas, G., and Amiroudine, S., 2010, “Numerical Simulation of Flow Past Row of Square Cylinders for Various Separation Ratios,” Comput. Fluids, 39, pp. 49–59. [CrossRef]
Kahawita, R., and Wang, P., 2002, “Numerical Simulation of the Wake Flow Behind Trapezoidal Bluff Bodies,” Comput. Fluids, 31, pp. 99–112. [CrossRef]
De, A., and Dalal, A., 2006, “Numerical Simulation of Unconfined Flow Past a Triangular Cylinder,” Int. J. Numer. Meth. Fluids, 52, pp. 801–821. [CrossRef]
Srikanth, S., Dhiman, A., and Bijjam, S., 2010, “Confined Flow and Heat Transfer Across a Triangular Cylinder in a Channel,” Int. J. Therm. Sci., 49, pp. 2191–2200. [CrossRef]
Bao, Y., Zhou, D., and Zhao, Y., 2010, “A Two-Step Taylor-Characteristic-Based Galerkin Method for Incompressible Flows and Its Application to Flow Over Triangular Cylinder With Different Incidence Angles,” Int. J. Numer. Meth. Fluids, 62, pp. 1181–1208. [CrossRef]
Farhadi, M., Sedighi, K., and Korayem, A., 2010, “Effect of Wall Proximity on Forced Convection in a Plane Channel With Built-In Triangular Cylinder,” Int. J. Therm. Sci., 49, pp. 1010–1018. [CrossRef]
Camarri, S., Salvetti, M., and Buresti, G., 2006, “Large-Eddy Simulation of the Flow Around a Triangular Prism With Moderate Aspect Ratio,” J. Wind Eng. Ind. Aerodyn., 94, pp. 309–322. [CrossRef]
Ali, M., and Nuhait, Z., 2011, “Forced Convection Heat Transfer Over Horizontal Cylinder in Cross Flow,” Int. J. Therm. Sci., 50, pp. 106–114. [CrossRef]
Abbassi, H., Turki, S., and Ben Nasrallah, S., 2001, “Mixed Convection in a Plane Channel With a Built-In Triangular Prism,” Numer. Heat Transfer, Part A, 39, pp. 307–320. [CrossRef]
Williamson, C., and Govardhan, R., 2008, “A Brief Review of Recent Results in Vortex-Induced Vibrations,” J. Wind Eng. Ind. Aerodyn., 96, pp. 713–735. [CrossRef]
Srigrarom, S., and Koh, A., 2008, “Flow Field of Self-Excited Rotationally Oscillating Equilateral Triangular Cylinder,” J. Fluids Struct., 24, pp. 750–755. [CrossRef]
Huhes, T., Liu, W., and Zimmermann, T., 1981, “Lagrangian-Eulerian Finite Element Formulation for Incompressible Viscous Flow,” Comput. Methods Appl. Mech. Eng., 29, pp. 329–349. [CrossRef]
Jaroslar, M., 1999, “Finite Element and Boundary Element Applied in Phase Change: Solidification and Melting Problem—A Bibliography (1996–1998),” Finite Elem. Anal. Design, 32, pp. 203–311. [CrossRef]
Patankar, S.,1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Publisher, New York.
AIAA, 1998, “Guide for the Verification and Validation of Computational Fluid Dynamics Simulations,” AIAA Paper No. G-077-1998.
Fey, U., Konig, M., and Eckelmann, H., 1998, “A New Strouhal-Reynolds-Number Relationship for the Circular Cylinder in the Range 47 < Re < 2×105,” Phys. Fluids, 10, pp. 1547–1549. [CrossRef]
Williamson, C. H. K., and Roshko, A., 1988, “Vortex Formation in the Wake of an Oscillating Cylinder,” J. Fluids Struct., 2, pp. 355–381. [CrossRef]
Placzek, A., Sigrist, J., and Hamdouni, A., 2009, “Numerical Simulations of an Oscillating Cylinder in a Cross-Flow at Low Reynolds Number: Forced and Free Oscillations,” Comput. Fluids, 38, pp. 80–100. [CrossRef]

Figures

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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. 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. 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. 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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