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Recirculation regions in wakes with base bleed
Phys. Rev. Fluids 6, 034608 – Published 12 March, 2021
DOI: https://doi.org/10.1103/PhysRevFluids.6.034608
Abstract
The appearance of detached recirculation regions in wakes with base bleed determines the aerodynamic properties of many natural organisms and technological applications. In this work we introduce an analytical model which captures certain key dimensions of the recirculation region in the wake of porous plates of infinite aspect ratio, along with the porosity range over which it exists when vortex shedding is absent or suppressed. The model is used to interpret why the recirculation region (i) emerges, (ii) migrates away from the body with increasing base bleed, (iii) disappears at a critical bleed, and (iv) is partially insensitive to variations in the Reynolds number. The model predictions show considerable agreement with data from laboratory experiments and numerical simulations.
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References (29)
- A. Roshko, Perspectives on bluff body aerodynamics, J. Wind Eng. Ind. Aerodyn. 49, 79 (1993).
- L. G. Leal and A. Acrivos, The effect of base bleed on the steady separated flow past bluff objects, J. Fluid Mech. 39, 735 (1969).
- I. P. Castro, Wake characteristics of two-dimensional perforated plates normal to an air-stream, J. Fluid Mech. 46, 599 (1971).
- S.-J. Lee and H.-B. Kim, Laboratory measurements of velocity and turbulence field behind porous fences, J. Wind Eng. Ind. Aerodyn. 80, 311 (1999).
- S. C. Yaragal, H. S. G. Ram, and K. K. Murthy, Two-dimensional flow field behind perforated plates on a flat surface, J. Wind Eng. Ind. Aerodyn. 90, 75 (2002).
- C. Cummins, I. M. Viola, E. Mastropaolo, and N. Nakayama, The effect of permeability on the flow past permeable disks at low Reynolds numbers, Phys. Fluids 29, 097103 (2017).
- K. Basnet and G. Constantinescu, The structure of turbulent flow around vertical plates containing holes and attached to a channel bed, Phys. Fluids 29, 115101 (2017).
- A. Sevilla and C. Martínez-Bazán, Vortex shedding in high Reynolds number axisymmetric bluff-body wakes: Local linear instability and global bleed control, Phys. Fluids 16, 3460 (2004).
- P. G. Ledda, L. Siconolfi, F. Viola, F. Gallaire, and S. Camarri, Suppression of von Kármán vortex streets past porous rectangular cylinders, Phys. Rev. Fluids 3, 103901 (2018).
- C. Cummins, M. Seale, A. Macente, D. Certini, E. Mastropaolo, I. M. Viola, and N. Nakayama, A separated vortex ring underlies the flight of the dandelion, Nature (London) 562, 414 (2018).
- S. Sunada, H. Takashima, T. Hattori, K. Yasuda, and K. Kawachi, Fluid-dynamic characteristics of a bristled wing, J. Exp. Biol. 205, 2737 (2002).
- P. W. Bearman, The effect of base bleed on the flow behind a two-dimensional model with a blunt trailing edge, Aeronaut. Q. 18, 207 (1967).
- K. Steiros, P. J. K. Bruce, O. R. H. Buxton, and J. C. Vassilicos, Effect of blade modifications on the torque and flow field of radial impellers in stirred tanks, Phys. Rev. Fluids 2, 094802 (2017).
- M. O. L. Hansen, Aerodynamics of Wind Turbines (Earthscan, London, UK, 2008).
- A. A. Ayati, K. Steiros, M. A. Miller, S. Duvvuri, and M. Hultmark, A double-multiple streamtube model for vertical axis wind turbines of arbitrary rotor loading, Wind Energy Sci. 4, 653 (2019).
- G. Kirchhoff, Zur theorie freier flüssigkeitsstrahlen, J. Reine Angew. Math. 70, 289 (1869).
- S. I. Chernyshenko, The asymptotic form of the stationary separated circumfluence of a body at high Reynolds numbers, J. Appl. Math. Mech. (Engl. Transl.) 52, 746 (1988).
- S. I. Chernyshenko and I. P. Castro, High-Reynolds-number asymptotics of the steady flow through a row of bluff bodies, J. Fluid Mech. 257, 421 (1993).
- K. Steiros, K. Kokmanian, N. Bempedelis, and M. Hultmark, The effect of porosity on the drag of cylinders, J. Fluid Mech. 901, R2 (2020).
- K. Steiros and M. Hultmark, Drag on flat plates of arbitrary porosity, J. Fluid Mech. 853, R3 (2018).
- J. M. R. Graham, Turbulent flow past a porous plate, J. Fluid Mech. 73, 565 (1976).
- G. I. Taylor, Air resistance of a flat plate of very porous material, Aeronaut. Res. Counc., Rep. Memo. 2236, 159 (1944).
- G. I. Taylor and R. M. Davies, The aerodynamics of porous sheets, Aeronaut. Res. Counc., Rep. Memo. 2237, 163 (1944).
- S. Hoerner, Aerodynamic properties of screens and fabrics, Text. Res. J. 22, 274 (1952).
- B. G. de Bray, Low speed wind tunnel tests on perforated square flat plates normal to the airstream: Drag and velocity fluctuation measurements, Aeronaut. Res. Counc., Curr. Papers 323 (1956).
- A. Acrivos, D. D. Snowden, A. S. Grove, and E. E. Petersen, The steady separated flow past a circular cylinder at large Reynolds numbers, J. Fluid Mech. 21, 737 (1965).
- F. Scarano, Iterative image deformation methods in piv, Meas. Sci. Technol. 13, R1 (2001).
- J. Westerweel and F. Scarano, Universal outlier detection for PIV data, Exp. Fluids 39, 1096 (2005).
- W.-W. Kim and S. Menon, A new dynamic one-equation subgrid-scale model for large eddy simulations, in 33rd Aerospace Sciences Meeting and Exhibit (Reno, NV, USA, 1995).