Technical Papers
Feb 21, 2024

Flow Structures around a Square Cylinder: Effect of Corner Chamfering

Publication: Journal of Aerospace Engineering
Volume 37, Issue 3

Abstract

In this paper, results of a flow visualization study on the flow around a square cylinder with corner chamfering are presented. The corners of the test cylinders were chamfered with each corner forming a triangle with chamfer dimension b. Experiments were conducted for b/Bo ratios of 0.05, 0.1, 0.2, and 0.3 where Bo is the side dimension of the uncut square cylinder. The flow structures, particularly the vortex shedding mode and mechanism around the uncut as well as chamfered square cylinders, were investigated in order to deduce the effect of corner modification. All the studies were conducted at a Reynolds number value of 2,100 (based on Bo) on both stationary and oscillating cylinders. For oscillating cases, a special mechanism was built to oscillate the cylinders (forced oscillation) at desired amplitudes and frequencies. Results indicates that corner chamfering brings notable changes in the near-wake flow structures of a square section cylinder both in stationary and oscillating conditions. In view of aerospace structures with similar geometries, the present results carry considerable practical significance.

Practical Applications

Many engineering structures carry square section geometry, such as buildings, bridge pylons, and so on, and are subjected to fluid flows. Flow around them can induce certain static and dynamic loads on these structures due to which eventually, they can fail if not designed properly. Flow-induced loads majorly depend on the body geometry. For square section cylinders (structures), corner shape is found to be a crucial factor that decides the nature of the flow field developed over them. This is because a properly designed corner shape can significantly bring down hydrodynamic/aerodynamic loads imposed on structures, ensuring structural safety. In this study, the corners of a square section cylinder are chamfered, and influence of this corner shape is studied through flow visualization. Flow visualization enables qualitative (mainly) as well as quantitative analysis of the flow field developed on the cylinder with different degrees of corner chamfering. This study brings out the effectiveness of corner chamfering in influencing the flow around a square cylinder, which represents an engineering structure in real world scenarios.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

Authors would like to thank the Department of Mechanical Engineering, Amritapuri Campus, Amrita Vishwa Vidyapeetham (Amrita University) for the unstinting backing provided to accomplish this research work. Thanks are also due to Mr. Arunkumar K., faculty member, and Mr. Lanilal B. of Department of Mechanical Engineering, AMRITA University and also to Dr. Jinny Robson, University of Sheffield, United Kingdom, for the whole-hearted support extended to write this paper.

References

Ajith Kumar, R., K. Arunkumar, and C. M. Hariprasad. 2015. “Effect of dissimilar leading edges on the flow structures around a square cylinder.” J. Pressure Vessel Technol. 137 (6): 061301. https://doi.org/10.1115/1.4029656.
Anirudh, K., and S. Dhinakaran. 2018. “On the onset of vortex shedding past a two-dimensional porous square cylinder.” J. Wind Eng. Ind. Aerodyn. 179 (Aug): 200–214. https://doi.org/10.1016/j.jweia.2018.03.004.
Bearman, P. 1965. “Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates.” J. Fluid Mech. 21 (2): 241–255. https://doi.org/10.1017/S0022112065000162.
Bearman, P. 1967. “On vortex street wakes.” J. Fluid Mech. 28 (4): 625–641. https://doi.org/10.1017/S0022112067002368.
Bearman, P., and E. Obasaju. 1982. “An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders.” J. Fluid Mech. 119 (Jun): 297–321. https://doi.org/10.1017/S0022112082001360.
Bearman, P. W. 1984. “Vortex shedding from oscillating bluff bodies.” Annu. Rev. Fluid Mech. 16 (1): 195–222. https://doi.org/10.1146/annurev.fl.16.010184.001211.
Blevins, R. D. 1990. Flow-induced vibration. New York: Van Nostrand Reinhold.
Bokaian, A., and F. Geoola. 1984. “Hydroelastic instabilities of square cylinders.” J. Sound Vib. 92 (1): 117–141. https://doi.org/10.1016/0022-460X(84)90378-X.
Cai, S. C., W. Zhang, and S. Montens. 2014. “Wind effects on long-span bridges.” In Bridge engineering handbook, 551–573. Boca Raton, FL: CRC Press.
Cao, Y., and T. Tamura. 2018. “Shear effects on flows past a square cylinder with rounded corners at Re=2.2×104.” J. Wind Eng. Ind. Aerodyn. 174 (Mar): 119–132. https://doi.org/10.1016/j.jweia.2017.12.025.
Carassale, L., A. Freda, and M. Marre-Brunenghi. 2014. “Experimental investigation on the aerodynamic behavior of square cylinders with rounded corners.” J. Fluids Struct. 44 (Jan): 195–204. https://doi.org/10.1016/j.jfluidstructs.2013.10.010.
Chakkalaparambil Many, H., N. Yashwanth, H. Bhardwaj, R. A. Kumar, and B. L. Gowda. 2014. “Effect of corner cut on the near wake flow structures of a square cylinder.” In Vol. 45844 of Proc., Engineering Systems Design and Analysis, V002T11A017. New York: ASME.
Chen, C., C. Mannini, G. Bartoli, and K. Thiele. 2020. “Experimental study and mathematical modeling on the unsteady galloping of a bridge deck with open cross section.” J. Wind Eng. Ind. Aerodyn. 203 (Aug): 104170. https://doi.org/10.1016/j.jweia.2020.104170.
Deniz, S., and T. Staubli. 1997. “Oscillating rectangular and octagonal profiles: Interaction of leading-and trailing-edge vortex formation.” J. Fluids Struct. 11 (1): 3–31. https://doi.org/10.1006/jfls.1996.0065.
Fujita, H., W. Sha, H. Furutani, and H. Suzuki. 1998. “Experimental investigations and prediction of aerodynamic sound generated from square cylinders.” In Proc., 4th AIAA/CEAS Aeroacoustics Conf., 2369. Reston, VA: American Institute of Aeronautics and Astronautics. https://doi.org/10.2514/6.1998-2369.
Gerrard, J. 1966. “The mechanics of the formation region of vortices behind bluff bodies.” J. Fluid Mech. 25 (2): 401–413. https://doi.org/10.1017/S0022112066001721.
Gowda, B., and R. A. Kumar. 2006. “Flow-induced oscillations of a square cylinder due to interference effects.” J. Sound Vib. 297 (3–5): 842–864. https://doi.org/10.1016/j.jsv.2006.05.003.
Griffin, O. M., and S. E. Ramberg. 1974. “The vortex-street wakes of vibrating cylinders.” J. Fluid Mech. 66 (3): 553–576. https://doi.org/10.1017/S002211207400036X.
He, G. S., N. Li, and J. J. Wang. 2014. “Drag reduction of square cylinders with cut-corners at the front edges.” Exp. Fluids 55 (Jun): 1–11. https://doi.org/10.1007/s00348-014-1745-1.
Hémon, P., and F. Santi. 2002. “On the aeroelastic behaviour of rectangular cylinders in cross-flow.” J. Fluids Struct. 16 (7): 855–889. https://doi.org/10.1006/jfls.2002.0452.
Hu, G., K.-T. Tse, Z. S. Chen, and K. C. S. Kwok. 2017. “Particle image velocimetry measurement of flow around an inclined square cylinder.” J. Wind Eng. Ind. Aerodyn. 168 (Sep): 134–140. https://doi.org/10.1016/j.jweia.2017.06.001.
Hu, G., K.-T. Tse, and K. C. S. Kwok. 2016. “Aerodynamic mechanisms of galloping of an inclined square cylinder.” J. Wind Eng. Ind. Aerodyn. 148 (Jan): 6–17. https://doi.org/10.1016/j.jweia.2015.10.011.
Hu, J., Y. Zhou, and C. Dalton. 2006. “Effects of the corner radius on the near wake of a square prism.” Exp. Fluids 40 (1): 106–118. https://doi.org/10.1007/s00348-005-0052-2.
Huang, R., and B. Lin. 2011. “Effects of flow patterns on aerodynamic forces of a square cylinder at incidence.” J. Mech. 27 (3): 347–355. https://doi.org/10.1017/jmech.2011.37.
Jacobs, G., D. Kopriva, and F. Mashayek. 2004. “Compressible subsonic particle-laden flow over a square cylinder.” J. Propul. Power 20 (2): 353–359. https://doi.org/10.2514/1.9259.
Kawai, H. 1998. “Effect of corner modifications on aeroelastic instabilities of tall buildings.” J. Wind Eng. Ind. Aerodyn. 74 (Apr): 719–729. https://doi.org/10.1016/S0167-6105(98)00065-8.
Komatsu, S., and H. Kobayashi. 1980. “Vortex-induced oscillation of bluff cylinders.” J. Wind Eng. Ind. Aerodyn. 6 (3–4): 335–362. https://doi.org/10.1016/0167-6105(80)90010-0.
Krishnamoorthy, S., S. Price, and M. Paidoussis. 2001. “Cross-flow past an oscillating circular cylinder: Synchronization phenomena in the near wake.” J. Fluids Struct. 15 (7): 955–980. https://doi.org/10.1006/jfls.2001.0382.
Kumar, K. S. 2020. “Wind loading on tall buildings: Review of Indian standards and recommended amendments.” J. Wind Eng. Ind. Aerodyn. 204 (Sep): 104240. https://doi.org/10.1016/j.jweia.2020.104240.
Kumar, R. A., and B. H. L. Gowda. 2006. “Flow-induced vibration of a square cylinder without and with interference.” J. Fluids Struct. 22 (3): 345–369. https://doi.org/10.1016/j.jfluidstructs.2005.11.006.
Kumar, R. A., C. H. Sohn, and B. H. L. Gowda. 2009. “Influence of corner radius on the near wake structure of a transversely oscillating square cylinder.” J. Mech. Sci. Technol. 23 (9): 2390–2416. https://doi.org/10.1007/s12206-009-0630-y.
Kumar, R. A., C. H. Sohn, and B. H. L. Gowda. 2015. “A PIV study of the near wake flow features of a square cylinder: Influence of corner radius.” J. Mech. Sci. Technol. 29 (Feb): 527–541. https://doi.org/10.1007/s12206-015-0113-2.
Kwok, K. 1983. “Effects of turbulence on the pressure distribution around a square cylinder and possibility of reduction.” J. Fluids Eng. 105 (2): 140–145. https://doi.org/10.1115/1.3240953.
Kwok, K. C. S., and S. J. Palmer. 1980. “Pressure distribution due to shear layer re-attachment.” In Proc., 7th Australasian Conf. on Hydraulics and Fluid Mechanics 1980: Preprints of Papers, 545–548. Barton, ACT, Australia: Institution of Engineers.
Liu, P., F. Liu, H. Guo, and T. Hu. 2019. “Flow-induced sound of wall-mounted finite square cylinder with the change of angles of attack.” In Proc., 25th AIAA/CEAS Aeroacoustics Conf., 2740. Reston, VA: American Institute of Aeronautics and Astronautics. https://doi.org/10.2514/6.2019-2740.
Liu, Y. Z., C. M. Ma, Q. S. Li, B. W. Yan, and H. L. Liao. 2018. “A new modeling approach for transversely oscillating square-section cylinders.” J. Fluids Struct. 81 (Aug): 492–513. https://doi.org/10.1016/j.jfluidstructs.2018.05.014.
Lou, X., T. Zhou, Y. Zhou, H. Wang, and L. Cheng. 2016. “Experimental investigation on wake characteristics behind a yawed square cylinder.” J. Fluids Struct. 61 (Feb): 274–294. https://doi.org/10.1016/j.jfluidstructs.2015.11.017.
Luo, S. 1992. “Vortex wake of a transversely oscillating square cylinder: A flow visualization analysis.” J. Wind Eng. Ind. Aerodyn. 45 (1): 97–119. https://doi.org/10.1016/0167-6105(92)90008-X.
Luo, S., M. G. Yazdani, Y. Chew, and T. Lee. 1994. “Effects of incidence and afterbody shape on flow past bluff cylinders.” J. Wind Eng. Ind. Aerodyn. 53 (3): 375–399. https://doi.org/10.1016/0167-6105(94)90092-2.
Many, H. C., V. C. Srinivasan, and A. K. Raghavan. 2018. “Effect of corner-arc on the flow structures around a square cylinder.” In Vol. 51555 of Proc., Fluids Engineering Division Summer Meeting, V001T07A007. New York: ASME.
Morse, T., and C. Williamson. 2009. “Prediction of vortex-induced vibration response by employing controlled motion.” J. Fluid Mech. 634 (Sep): 5–39. https://doi.org/10.1017/S0022112009990516.
Murali, D., A. Kumar Raghavan, and A. Kumar Sasidharanpillai. 2022. “Flow over flat and curved plates: A flow visualization study.” J. Aerosp. Eng. 35 (4): 04022045. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001400.
Nakamura, Y., and K. Hirata. 1991. “Pressure fluctuations on oscillating rectangular cylinders with the long side normal to the flow.” J. Fluids Struct. 5 (2): 165–183. https://doi.org/10.1016/0889-9746(91)90460-7.
Nakamura, Y., and Y. Tomonari. 1977. “Galloping of rectangular prisms in a smooth and in a turbulent flow.” J. Sound Vib. 52 (2): 233–241. https://doi.org/10.1016/0022-460X(77)90642-3.
Naudascher, E., and Y. Wang. 1993. “Flow-induced vibrations of prismatic bodies and grids of prisms.” J. Fluids Struct. 7 (4): 341–373. https://doi.org/10.1006/jfls.1993.1021.
Nawaz, M. A., M. Abubaker, R. A. Kumar, and C.-H. Sohn. 2022. “Drag reduction for flow past a square cylinder through corner chamfering.” J. Mech. Sci. Technol. 36 (11): 5501–5510. https://doi.org/10.1007/s12206-022-1015-8.
Okajima, A. 1982. “Strouhal numbers of rectangular cylinders.” J. Fluid Mech. 123 (Oct): 379–398. https://doi.org/10.1017/S0022112082003115.
Ongoren, A., and D. Rockwell. 1988. “Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake.” J. Fluid Mech. 191 (Jun): 197–223. https://doi.org/10.1017/S0022112088001569.
Parkinson, G. 1971. “Wind-induced instability of structures.” Philos. Trans. R. Soc. London, Ser. A 269 (1199): 395–413. https://doi.org/10.1098/rsta.1971.0040.
Roshko, A. 1954. On the drag and shedding frequency of two-dimensional bluff bodies. Washington, DC: National Aeronautics and Space Administration.
Shao, C. P., and Q. D. Wei. 2008. “Control of vortex shedding from a square cylinder.” AIAA J. 46 (2): 397–407. https://doi.org/10.2514/1.28367.
Squires, K. D., J. R. Forsythe, and P. R. Spalart. 2005. “Detached-eddy simulation of the separated flow over a rounded-corner square.” J. Fluids Eng. 127 (5): 959–966. https://doi.org/10.1115/1.1990202.
Stathopoulos, T., and H. Alrawashdeh. 2020. “Wind loads on buildings: A code of practice perspective.” J. Wind Eng. Ind. Aerodyn. 206 (Nov): 104338. https://doi.org/10.1016/j.jweia.2020.104338.
Tamura, T., T. Miyagi, and T. Kitagishi. 1998. “Numerical prediction of unsteady pressures on a square cylinder with various corner shapes.” J. Wind Eng. Ind. Aerodyn. 74 (Apr): 531–542. https://doi.org/10.1016/S0167-6105(98)00048-8.
Van Hinsberg, N. P., G. Schewe, and M. Jacobs. 2018. “Experimental investigation on the combined effects of surface roughness and corner radius for square cylinders at high Reynolds numbers up to 107.” J. Wind Eng. Ind. Aerodyn. 173 (Feb): 14–27. https://doi.org/10.1016/j.jweia.2017.12.003.
Wang, H., X. Zhao, X. He, and Y. Zhou. 2017. “Effects of oncoming flow conditions on the aerodynamic forces on a cantilevered square cylinder.” J. Fluids Struct. 75 (Nov): 140–157. https://doi.org/10.1016/j.jfluidstructs.2017.09.004.
Washizu, K., A. Ohya, Y. Otsuki, and K. Fujii. 1978. “Aeroelastic instability of rectangular cylinders in a heaving mode.” J. Sound Vib. 59 (2): 195–210. https://doi.org/10.1016/0022-460X(78)90500-X.
Williamson, C. H., and A. Roshko. 1988. “Vortex formation in the wake of an oscillating cylinder.” J. Fluids Struct. 2 (4): 355–381. https://doi.org/10.1016/S0889-9746(88)90058-8.
Yamagishi, Y., S. Kimura, and M. Oki. 2010. “Flow characteristics around a square cylinder with changing chamfer dimensions.” J. Visualization 13 (1): 61–68. https://doi.org/10.1007/s12650-009-0005-6.
Yen, S. C., and C. W. Yang. 2011. “Flow patterns and vortex shedding behavior behind a square cylinder.” J. Wind Eng. Ind. Aerodyn. 99 (8): 868–878. https://doi.org/10.1016/j.jweia.2011.06.006.
Yoon, D.-H., K.-S. Yang, and C.-B. Choi. 2010. “Flow past a square cylinder with an angle of incidence.” Phys. Fluids 22 (4): 043603. https://doi.org/10.1063/1.3388857.
Yoon, D.-H., K.-S. Yang, and C.-B. Choi. 2012. “Three-dimensional wake structures and aerodynamic coefficients for flow past an inclined square cylinder.” J. Wind Eng. Ind. Aerodyn. 101 (Feb): 34–42. https://doi.org/10.1016/j.jweia.2011.10.012.
Zhang, W., and R. Samtaney. 2016. “Low-re flow past an isolated cylinder with rounded corners.” Comput. Fluids 136 (Sep): 384–401. https://doi.org/10.1016/j.compfluid.2016.06.025.
Zhao, J., J. Leontini, D. L. Jacono, and J. Sheridan. 2019. “The effect of mass ratio on the structural response of a freely vibrating square cylinder oriented at different angles of attack.” J. Fluids Struct. 86 (Apr): 200–212. https://doi.org/10.1016/j.jfluidstructs.2019.02.008.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 37Issue 3May 2024

History

Received: Dec 18, 2021
Accepted: Dec 6, 2023
Published online: Feb 21, 2024
Published in print: May 1, 2024
Discussion open until: Jul 21, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Research Associate, Dept. of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri 690525, India (corresponding author). ORCID: https://orcid.org/0000-0002-5620-119X. Email: [email protected]
R. Ajith Kumar
Professor, Dept. of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri 690525, India.
Jason Dahl
Associate Professor, Dept. of Ocean Engineering, Univ. of Rhode Island, Kingston, RI 02881.
Professor, School of Mechanical Engineering, Kyungpook National Univ., 1370, Sankyuk-Dong, Buk-Gu, Daegu 702-701, Korea. ORCID: https://orcid.org/0000-0002-5604-370X

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share