The flow around a surface-mounted finite-height square prism was investigated using a low-speed wind tunnel. The experiments were conducted at a Reynolds number of Re = 7.3 × 10^{4} for prism aspect ratios of AR = 3, 5, 7, 9, and 11 and incidence angles from α = 0 deg to 45 deg. The thickness of the boundary layer on the ground plane relative to the side length was δ/D = 1.5. Measurements of the vortex shedding frequency were made with a single-component hot-wire probe, and measurements of the mean drag and lift forces were obtained with a force balance. For all aspect ratios and incidence angles, the mean drag coefficient and Strouhal number were lower than those of an infinite prism, while the mean lift coefficient was of nearly similar magnitude. As the aspect ratio was increased from AR = 3 to 11, the force coefficients and Strouhal number slowly approached the infinite-square-prism data. The mean drag coefficient and Strouhal number for the finite prism were less sensitive to changes in incidence angle compared to the infinite square prism. The critical incidence angle, corresponding to minimum mean drag coefficient, minimum (most negative) mean lift coefficient, and maximum Strouhal number, shifted to a higher incidence angle compared to the infinite square prism, with values ranging from α_{critical} = 15 deg to 18 deg; this shift was greatest for the prisms of higher aspect ratio. The behavior of the force coefficients and Strouhal number for the prism of AR = 3 was distinct from the other prisms (with lower values of mean drag coefficient and mean lift coefficient magnitude, and a different Strouhal number trend), suggesting the critical aspect ratio was between AR = 5 and AR = 3 in these experiments. In the wall-normal direction, the power spectra for AR = 11 and 9 tended to have weaker and/or more broad-banded vortex shedding peaks near the ground plane and near the free end at α = 0 deg and 15 deg. For AR = 7 to 3, well-defined vortex shedding peaks were detected along the entire height of the prisms. For AR = 11 and 9, at α = 30 deg and 45 deg, vortex shedding peaks were absent in the power spectra in the upper part of the wake.

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# An Experimental Investigation of Aspect Ratio and Incidence Angle Effects for the Flow Around Surface-Mounted Finite-Height Square Prisms

J. F. McClean

,
J. F. McClean

Department of Mechanical Engineering,

Saskatoon, Saskatchewan,

University of Saskatchewan

,57 Campus Drive

,Saskatoon, Saskatchewan,

Canada

S7N 5A9

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D. Sumner

D. Sumner

Department of Mechanical Engineering,

Saskatoon, Saskatchewan,

e-mail: david.sumner@usask.ca

University of Saskatchewan

,57 Campus Drive

,Saskatoon, Saskatchewan,

Canada

S7N 5A9

e-mail: david.sumner@usask.ca

1

1

Corresponding author.
Search for other works by this author on:

J. F. McClean

University of Saskatchewan

,57 Campus Drive

,Saskatoon, Saskatchewan,

Canada

S7N 5A9

D. Sumner
1

University of Saskatchewan

,57 Campus Drive

,Saskatoon, Saskatchewan,

Canada

S7N 5A9

e-mail: david.sumner@usask.ca

1

Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 25, 2012; final manuscript received February 28, 2014; published online June 2, 2014. Editor: Malcolm J. Andrews.

*J. Fluids Eng*. Aug 2014, 136(8): 081206 (10 pages)

**Published Online:**June 2, 2014

Article history

Received:

October 25, 2012

Revision Received:

February 28, 2014

Citation

McClean, J. F., and Sumner, D. (June 2, 2014). "An Experimental Investigation of Aspect Ratio and Incidence Angle Effects for the Flow Around Surface-Mounted Finite-Height Square Prisms." ASME. *J. Fluids Eng*. August 2014; 136(8): 081206. https://doi.org/10.1115/1.4027138

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