Open Access
Research Article
Numerical investigations of flow characteristics around square vs inclined cylinders
K. Ravibaburavibabu.k@gmrit.edu.inDepartment of Mathematics GMR Institute of Engineering and TechnologyRajam, Andhra Pradesh, 532127, India0009-0004-3968-4726View full profile → , M. Vinod Kumarvinod.maths@anits.edu.inDepartment of Mathematics Anil Neerukonda Institute of Technology and Sciences (ANITS) SangivalasaVisakhapatnam, Andhra Pradesh, 531162, India0000-0001-6469-4855View full profile → , M. V. Subba Raosubbarao.maths@anits.edu.inDepartment of Mathematics Anil Neerukonda Institute of Technology and Sciences (ANITS) SangivalasaVisakhapatnam, Andhra Pradesh, 531162, India0009-0008-4586-3439View full profile → , *P. S. BrahmanandamCorresponding authordranandpotula@svecw.edu.inDepartment of Physics and R & D Cell Shri Vishnu Engineering College for Women (A)Bhimavaram, Andhra Pradesh, 534202, India0000-0001-9777-3496View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Aug 2025
- Published Online:
- 01 Jan 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2144
- Pages:
- 337–351
Abstract
This study investigates the flow patterns around square as well as inclined cylinders, a critical area in civil engineering due to their complex flow interactions. The research objectives are to conduct numerical analyses in two dimensions to understand the flow behavior around inclined square cylinders and those enclosed by parallel surfaces, focusing on vortex shedding and flow dynamics at varying Reynolds numbers (Re) from 40 to 200. Key findings reveal that vortex shedding frequencies and Strouhal numbers (St) were calculated for different Re values, showing increased turbulence with higher Re. The inclination of the square cylinder caused significant changes in flow characteristics, including abrupt shifts in separation points and variations in drag and lift forces. Quantitative results included detailed streamlines, flow velocities, vortex shedding frequencies, and Strouhal numbers values across a range of inlet velocities and Reynolds numbers. The practical implications of these research findings are significant because velocity distributions show that asymmetric vortex flows occur around inclined cylinders at Reynolds numbers of 100 and 200. When building slanted structures to withstand approaching winds, civil engineers must consider these facts.
Keywords
Subject Classifications
76M2076M2576-10
References
[1] M. Sarioglu, Y. E. Akansu, and T. Yavuz, “Control of the flow around square cylinders at incidence by using a rod,” AIAA Journal, vol. 43, no. 7, pp. 1419–1426 (2005), doi: 10.2514/1.9460.[2] D.-H. Yoon, K.-S. Yang, and C.-B. Choi, “Flow past a square cylinder with angle of incidence,” Physics of Fluids, vol. 22 (Apr. 2010), doi: 10.1063/1.3388857.[3] T. Igarashi, “Characteristics of the flow around a square prism,” Bulletin of JSME, vol. 27, no. 231, pp. 1858–1865 (1984), doi: 10.1299/jsme1958.27.1858.[4] M. Ali, “Experimental free convection heat transfer from inclined square cylinders,” Heat and Mass Transfer, vol. 53, pp. 1643–1655 (2017), doi: 10.1007/s00231-016-1881-7.[5] Z. Chen, S. Li, L. Zhang, C. Yuan, Z. Zhao, Y. Wu, Y. Xu, and C. Y. Li, “Characteristics of aerodynamic interference and flow phenomenology around inclined square prisms,” Physics of Fluids, vol. 35, no. 12 (Dec. 2023), Art. no. 125119, doi: 10.1063/5.0182197.[6] E. D. Obasaju, “An investigation of the effects of incidence on the flow around a square section cylinder,” Aeronautical Quarterly, vol. 34, no. 4, pp. 243–259 (1983), doi: 10.1017/S0001925900009768.[7] C. Norberg, “Flow around rectangular cylinders: Pressure forces and wake frequencies,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 49, no. 1, pp. 187–196 (1993), doi: 10.1016/0167-6105(93)90014-F.[8] A. Dipankar and T. K. Sengupta, “Flow past a circular cylinder in the vicinity of a plane wall,” Journal of Fluids and Structures, vol. 20, no. 3, pp. 403–423 (2005), doi: 10.1016/j.jfluidstructs.2005.01.001.[9] T. K. Sengupta, S. De, and S. Sarkar, “Vortex-induced instability of an incompressible wall-bounded shear layer,” Journal of Fluid Mechanics, vol. 493, pp. 277–286 (2003), doi: 10.1017/S0022112003005822.[10] W. Zhu, K. Luo, Z. Xiao, and S. Fu, “Numerical simulations of the flow dynamics past an oscillating rod–airfoil configuration,” in Proceedings of ICMME 2016 (2016), doi: 10.1007/978-3-319-70031-1_36.[11] A. G. da Silva Jr., J. A. Martins, and E. C. Romao, “Numerical simulation of a one-dimensional non-linear wave equation,” Engineering, Technology & Applied Science Research, vol. 12, no. 3, pp. 8574–8577 (2022), doi: 10.48084/etasr.4920.[12] J. U. Rehman, C. N. Nguyen, T. A. Nguyen, T. C. Vo, T. K. Nguyen, and V. Q. Nguyen, “Prediction of the stress wave amplification factor of a spherical blast source using numerical simulations,” Engineering, Technology & Applied Science Research, vol. 12, no. 5, pp. 9395–9399 (2022), doi: 10.48084/etasr.5233.[13] A. Okajima, “Strouhal numbers of rectangular cylinders,” Journal of Fluid Mechanics, vol. 123, pp. 379–398 (1982).[14] Y. Gao, C. Yin, H. Zhang, K. Yang, X. Zhao, and Z. Sun, “Numerical study on flow around four square-arranged cylinders at low Reynolds numbers,” Mathematical Problems in Engineering (2017), doi: 10.1155/2017/6381256.[15] Y.-C. Zhu and S. Zhang, “On the flow characteristics of a four square-cylinder array at a 45° incidence angle and low Re,” AIP Advances (2022), doi: 10.1063/5.0091440.[16] S. Sen, S. Mittal, and G. Biswas, “Flow past a square cylinder at low Reynolds numbers,” International Journal for Numerical Methods in Fluids, vol. 67, pp. 1160–1174 (2011), doi: 10.1002/fld.2416.[17] W. N. Muyungi, M. H. Mkwizu, and V. G. Masanja, “The effect of Navier slip and skin friction on nanofluid flow in a porous pipe,” Engineering, Technology & Applied Science Research, vol. 12, no. 2, pp. 8342–8348 (2022), doi: 10.48084/etasr.4763.[18] A. E. Perry, M. S. Chong, and T. T. Lim, “The vortex-shedding process behind two-dimensional bluff bodies,” Journal of Fluid Mechanics, vol. 116, pp. 77–90 (1982), doi: 10.1017/S0022112082000378.[19] A. Sohankar, C. Norberg, and L. Davidson, “Low-Reynolds-number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition,” International Journal for Numerical Methods in Fluids, vol. 26, pp. 39–56 (1998).[20] R. Bourguet and M. S. Triantafyllou, “Vortex-induced vibrations of a flexible cylinder at large inclination angle,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 373 (2015), doi: 10.1098/rsta.2014.0108.[21] M. Avila, D. Barkley, and B. Hof, “Transition to turbulence in pipe flow,” Annual Review of Fluid Mechanics, vol. 55, pp. 575–602 (2023), doi: 10.1146/annurev-fluid-120720-025957.[22] K. A. Khasawneh and Y. Al-Samamah, “Analytical study of the stagnation point properties and impact forces for non-continuum flow out of planar exit impinging on inclined flat plate surface,” International Review of Aerospace Engineering, vol. 15, no. 5 (2022), doi: 10.15866/irease.v15i5.22475.[23] M. Shademan and A. Naghib-Lahouti, “Effects of aspect ratio and inclination angle on aerodynamic loads of a flat plate,” Advances in Aerodynamics, vol. 2, pp. 14 (2020), doi: 10.1186/s42774-020-00038-7.[24] S. Khurana, K. Suzuki, and E. Rathakrishnan, “Flow field behavior with Reynolds number variance around a spiked body,” Modern Physics Letters B (2016), doi: 10.1142/S0217984916503620.
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