Rectangular Cylinder Orientation and Aspect Ratio Impact on the Onset of Vortex Shedding

Neelam Tahir, Waqas Sarwar Abbasi, Hamid Rahman, Mubarak Alrashoud, Ahmed Ghoneim and Abdulhameed Alelaiwi ()
Additional contact information
Neelam Tahir: Department of Mathematics, Air University, Islamabad 44000, Pakistan
Waqas Sarwar Abbasi: Department of Mathematics, Air University, Islamabad 44000, Pakistan
Hamid Rahman: Department of Mathematics & Statistics, Women University Swabi, Swabi 23430, Pakistan
Mubarak Alrashoud: Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia
Ahmed Ghoneim: Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia
Abdulhameed Alelaiwi: Department of Software Engineering and Research Chair of Smart Technologies, College of Computer and Information Sciences, King Saud University, Riyadh 11574, Saudi Arabia

Mathematics, 2023, vol. 11, issue 22, 1-22

Abstract: Rectangular cylinders have the potential to provide valuable insights into the behavior of fluids in a variety of real-world applications. Keeping this in mind, the current study compares the behavior of fluid flow around rectangular cylinders with an aspect ratio (AR) of 1:2 or 2:1 under the effect of the Reynolds number (Re). The incompressible lattice Boltzmann method is used for numerical computations. It is found that the flow characteristics are highly influenced by changes in the aspect ratio compared to the Reynolds number. The flow exhibits three different regimes: Regime I (steady flow), Regime II (initial steady flow that becomes unsteady afterward), and Regime III (completely unsteady flow). In the case of the cylinder with an aspect ratio of 2:1, vortex generation, variation in drag, and the lift coefficient occur much earlier at very low Reynolds numbers compared to the cylinder with an aspect ratio of 1:2. For the cylinder with an aspect ratio of 1:2, the Reynolds number ranges for Regimes I, II, and III are 1 ≤ Re ≤ 120, 121 ≤ Re ≤ 144, and 145 ≤ Re ≤ 200, respectively. For the cylinder with an aspect ratio of 2:1, the Reynolds number ranges for Regimes I, II, and III are 1 ≤ Re ≤ 24, 25 ≤ Re ≤ 39, and 40 ≤ Re ≤ 200, respectively. The cylinder with an aspect ratio of 1:2 is found to have the ability to stabilize the incoming flow due to its extended after-body flatness. Generally, it has been found that a cylinder with an AR of 2:1 is subjected to higher pressures, higher drag forces, higher curvatures of cross-flow rotations, and higher amplitudes of flow-induced drag, as well as higher lift coefficients and lower shedding frequencies, compared to cylinders with an AR of 1:2. In Regime III, elliptic and vertically mounted airfoil-like flow structures are also observed in the wake of the cylinders.

Keywords: rectangular cylinder; aspect ratio; incompressible flow; lattice Boltzmann method; Reynolds number (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/22/4571/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/22/4571/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:22:p:4571-:d:1275781

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().