Flow past a square prism with cut-corners at the front-edge is numerically and experimentally visualized to investigate a mechanism of drag reduction. An adaptive numerical scheme based on the vortex method is implemented for two values of the Reynolds number between 200 and 1,250, and the results are compared with experiments. Experimental visualization techniques include the hydrogen-bubble technique atRe=4,000 and the oil-flow technique atRe=10,000 for a global wake formation, and the aluminum-flake technique for transient flow at the early stage of motion atRe=1,250. A similar reattachment flow pattern is shown in a wide range of the Reynolds number between 200 and 10,000, which implies a possibility of the drag reduction in the Reynolds number being approximately lower than 8,000 unlike the previous findings.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Batchelor, G.K., An Introduction to Fluid Dynamics, (1967), Cambridge University Press.
Cottet, G.-H. and Koumoutsakos, P.D., Vortex Methods: Theory and Practice, (2000), Cambridge University Press.
Cottet, G.-H. and Poncet, P., Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods,J. Comput. Phys.,193, (2003), 136–158.
Degond, P. and Mas-Gallic, S., The Weighted Particle Method for Convection-Diffusion Equations, Part 1: The Case of an Isotropic Viscosity, Part 2: The Anisotropic Case,Math. Comput.,53, (1989), 485–525.
Greengard, L. and Rokhlin, V., A Fast Algorithm for Particle Simulations,J. Comput. Phys.,73, (1987), 325–348.
Igarashi, T., Muranaka, N. and Nakamura, H., Drag Reduction of a Rectangular Cylinder with Small Rectangular Cutout at Its Edges Normal to Air-Stream,Annu. Conf. Japan Society of Fluid Mechanics, (2005), No. AM05-04-016.
Kurata, M., Morisawa, T., Hirakawa, K., Yasutomi, Z. and Kida, T., Drag Reduction of a Bluff Body with Small Cutout at Its Edges (Case of Prism with Square Cross Section),Trans. of JSME,64-618, B (1998), 397–404.
Kurata, M., Hirakawa, K., Yasutomi, Z. and Kida, T., Effect of Cutout at Front Edges to Drag Reduction of Square Prism,Trans. Japan Aeronautical and Space Science,47- 543, (1999), 174–181.
Kurata, M., Hirakawa, K., Yasutomi, Z. and Kida, T., Relationship between Near Wake and Drag Reduction of Square Prism Due to Cutout at Front Edges,Trans. Japan Aeronautical and Space Science,47- 550, (1999), 403–410.
Kurata, M., Ueda, Y., Kida, T. and Iguchi, M., Drag reduction due to cut-corners at the front-edge of a rectangular cylinder with the length-to-breadth ratio being less than or equal to unity,ASME, J. Fluids Eng.,131, (2009), 064501.
Milne-Thomson, L.M., Theoretical Hydrodynamics, (1968), Palgrave Macmillan.
Noda, K., Ueda, Y., Kida, T., Kurata, M., Yasutomi, Z. and Tamano, H., Transient Flow around an Impulsively Started Rectangular Cylinder by a Vortex Method (Effect of Cut-out of Front Edges),Trans. of JSME,69- 677, B (2003), 53–60.
Nozu, T. and Tamura, T., Application of computational fluid technique with high accuracy and conservation property to the wind resistant problems of buildings and structures. Part 1 Estimations of numerical errors of the interpolation method and its accuracy for the prediction of flows around a rectangular cylinder at low Reynolds numbers,J. Struct. Constr. Eng., AIJ,494, (1997), 43–49.
Okajima, A., Ueno, H. and Abe, A., Influence of Reynolds number on flow and aerodynamic characteristics of bluff bodies with rectangular section of cut corners,J. Wind Eng.,49, (1991), 1–13.
Sychev, V.V., Ruban, A.I., Sychev, V.V. and Korolev, G.L., Asymptotic Theory of Separated Flows, (1998), Chap.2, Cambridge University Press.
Tamura, T., Miyagi, T. and Kitagishi, T., Numerical prediction of unsteady pressures on a square cylinder with various corner shapes,J. Wind Eng. Ind. Aerodyn.,74- 76, (1998), 531–542.
Ueda, Y. and Kida, T., Removal of spatial error due to distorted vortex particle location,Private Communication, (2008).
Ueda, Y., Sellier, A. and Kida, T., Analysis of unsteady interactions between cylinders by a Vortex Method,Proc. ICVFM, (2005), CD-ROM.
Williamson, C.H.K., Vortex dynamics in the cylinder wake,Ann. Rev. Fluid Mech.,28, (1996), 477–539.
Yoshiaki Ueda: He received his Ph.D. in 2003 from Department of Mechanical Engineering at Osaka Prefecture University. He has been a Research Fellow of Japan Society for Promotion of Science (JSPS) in Department of Materials Science and Engineering at Hokkaido University (2004–2006) including a visiting researcher in Laboratoire d’Hydrodynamique at École Polytechnique during 2005. He is currently a PostDoctral researcher in Division of Materials Science and Engineering at Hokkaido University. His research interests include: Low-Reynolds-Number Flow, Matched Asymptotic Expansions, Vortex Particle Method and Brownian Movement.
Mitsuo Kurata: He received his Ph.D. in 1979 from Department of Mechanical Engineering at Osaka Prefecture University. He works in Department of Mechanical Engineering, Setsunan University as a professor since 2001. His research interests are drag reduction and non-contacting and suspending support of air cushion pad.
Teruhiko Kida: He received his Ph.D. in 1972 from Department of Mechanical Engineering at University of Osaka Prefecture (present: Osaka Prefecture University). He is Professor Emeritus of Osaka Prefecture University since 2004. His research interests are numerical simulation of the onset of turbulence by a Vortex Method and a transient low Reynolds number flow.
Manabu Iguchi: He received his M.Sc. (Eng.) in Mechanical Engineering in 1973 from Osaka University. He also received his Ph.D. in Mechanical Engineering in 1981 from Osaka University. He works in Division of Materials Science and Engineering, Graduate School of Engineering of Hokkaido University as a professor since 1996. His research interests are transport phenomena in materials processing operations and development of velocimeters for molten metals at high temperatures.
About this article
Cite this article
Ueda, Y., Kurata, M., Kida, T. et al. Visualization of flow past a square prism with cut-corners at the front-edge. J Vis 12, 383–391 (2009). https://doi.org/10.1007/BF03181881
- Drag Reduction
- Square Prism
- Vortex Method
- Hydrogen-Bubble Technique
- Aluminum-Flake Technique
- Oil-Flow Technique