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

Journal Article · · Journal of Fluid Mechanics
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [1]
  1. Florida State Univ., Tallahassee, FL (United States)
  2. Imperial College London, London, (United Kingdom)
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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.

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
Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

References (16)

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Effect of Tip Vortices in Low-Reynolds-Number Poststall Flow Control journal March 2009
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Parabolized Stability Equations journal January 1997
Dynamic mode decomposition of numerical and experimental data journal July 2010
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Wing tip vortex control using synthetic jets journal October 2006
Airplane trailing vortices and their control journal May 2005
A parallel stability analysis of a trailing vortex wake journal January 2018
Vortex topology of wing tip blowing journal April 2010
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Airplane Trailing Vortices journal January 1998
Optimal disturbances and bypass transition in boundary layers journal January 1999
Wake Vortex Alleviation Using Rapidly Actuated Segmented Gurney Flaps journal August 2007
On the mechanism of trailing vortex wandering journal July 2016
Vortex Topology of Wing Tip Blowing conference June 2007

Cited By (1)

Modal Analysis of Fluid Flows: Applications and Outlook preprint January 2019

Figures / Tables (9)

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Table 1(p. 9)table Table 1

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