Active attenuation of a trailing vortex inspired by a parabolized stability analysis

Edstrand, Adam M.; Sun, Yiyang; Schmid, Peter J.; Taira, Kunihiko; Cattafesta, Louis N.

doi:10.1017/jfm.2018.701

Title: Active attenuation of a trailing vortex inspired by a parabolized stability analysis

Journal Article · Wed Sep 19 00:00:00 EDT 2018 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2018.701· OSTI ID:1477439

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Florida State Univ., Tallahassee, FL (United States)
Imperial College London, London, (United Kingdom)

Designing effective control for complex three-dimensional flow fields proves to be non-trivial. Often, intuitive control strategies lead to suboptimal control. To navigate the control space, we use a linear parabolized stability analysis to guide the design of a control scheme for a trailing vortex flow field aft of a NACA0012 half-wing at an angle of attack $$\unicode[STIX]{x1D6FC}=5^{\circ }$$ and a chord-based Reynolds number $Re=1000$. The stability results show that the unstable mode with the smallest growth rate (fifth wake mode) provides a pathway to excite a vortex instability, whereas the principal unstable mode does not. Inspired by this finding, we perform direct numerical simulations that excite each mode with body forces matching the shape function from the stability analysis. Furthermore, relative to the uncontrolled case, the controlled flows show increased attenuation of circulation and peak streamwise vorticity, with the fifth-mode-based control set-up outperforming the principal-mode-based set-up. From these results, we conclude that a rudimentary linear stability analysis can provide key insights into the underlying physics and help engineers design effective physics-based flow control strategies.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: ONR; USDOE

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1477439

Report Number(s):: SAND-2018-6492J; 664491

Journal Information:: Journal of Fluid Mechanics, Vol. 855; ISSN 0022-1120

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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References (16)

Viscous and inviscid instabilities of a trailing vortex Mayer, Ernst W.; Powell, Kenneth G. Journal of Fluid Mechanics, Vol. 245, Issue -1 https://doi.org/10.1017/S0022112092000363	journal	December 1992
Effect of Tip Vortices in Low-Reynolds-Number Poststall Flow Control Taira, Kunihiko; Colonius, Tim AIAA Journal, Vol. 47, Issue 3 https://doi.org/10.2514/1.40615	journal	March 2009
On the viscous modes of instability of a trailing line vortex Khorrami, Mehdi R. Journal of Fluid Mechanics, Vol. 225 https://doi.org/10.1017/S0022112091002021	journal	April 1991
Parabolized Stability Equations Herbert, Thorwald Annual Review of Fluid Mechanics, Vol. 29, Issue 1 https://doi.org/10.1146/annurev.fluid.29.1.245	journal	January 1997
Dynamic mode decomposition of numerical and experimental data Schmid, Peter J. Journal of Fluid Mechanics, Vol. 656 https://doi.org/10.1017/S0022112010001217	journal	July 2010
A Linear Systems Approach to Flow Control Kim, John; Bewley, Thomas R. Annual Review of Fluid Mechanics, Vol. 39, Issue 1 https://doi.org/10.1146/annurev.fluid.39.050905.110153	journal	January 2007
Wing tip vortex control using synthetic jets Margaris, P.; Gursul, I. The Aeronautical Journal, Vol. 110, Issue 1112 https://doi.org/10.1017/S0001924000001536	journal	October 2006
Airplane trailing vortices and their control Crouch, Jeffrey Comptes Rendus Physique, Vol. 6, Issue 4-5 https://doi.org/10.1016/j.crhy.2005.05.006	journal	May 2005
A parallel stability analysis of a trailing vortex wake Edstrand, Adam M.; Schmid, Peter J.; Taira, Kunihiko Journal of Fluid Mechanics, Vol. 837 https://doi.org/10.1017/jfm.2017.866	journal	January 2018
Vortex topology of wing tip blowing Margaris, P.; Gursul, I. Aerospace Science and Technology, Vol. 14, Issue 3 https://doi.org/10.1016/j.ast.2009.11.008	journal	April 2010
The structure and development of a wing-tip vortex Devenport, William J.; Rife, Michael C.; Liapis, Stergios I. Journal of Fluid Mechanics, Vol. 312 https://doi.org/10.1017/S0022112096001929	journal	April 1996
Airplane Trailing Vortices Spalart, Philippe R. Annual Review of Fluid Mechanics, Vol. 30, Issue 1 https://doi.org/10.1146/annurev.fluid.30.1.107	journal	January 1998
Optimal disturbances and bypass transition in boundary layers Andersson, Paul; Berggren, Martin; Henningson, Dan S. Physics of Fluids, Vol. 11, Issue 1 https://doi.org/10.1063/1.869908	journal	January 1999
Wake Vortex Alleviation Using Rapidly Actuated Segmented Gurney Flaps Matalanis, Claude G.; Eaton, John K. AIAA Journal, Vol. 45, Issue 8 https://doi.org/10.2514/1.28319	journal	August 2007
On the mechanism of trailing vortex wandering Edstrand, Adam M.; Davis, Timothy B.; Schmid, Peter J. Journal of Fluid Mechanics, Vol. 801 https://doi.org/10.1017/jfm.2016.440	journal	July 2016
Vortex Topology of Wing Tip Blowing Margaris, Panagiotis; Gursul, Ismet 45th AIAA Aerospace Sciences Meeting and Exhibit https://doi.org/10.2514/6.2007-1122	conference	June 2007

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Modal Analysis of Fluid Flows: Applications and Outlook Taira, Kunihiko; Hemati, Maziar S.; Brunton, Steven L. arXiv https://doi.org/10.48550/arxiv.1903.05750	preprint	January 2019