DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
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)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
ONR; USDOE
OSTI Identifier:
1477439
Report Number(s):
SAND-2018-6492J
Journal ID: ISSN 0022-1120; 664491
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Fluid Mechanics
Additional Journal Information:
Journal Volume: 855; Journal ID: ISSN 0022-1120
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Edstrand, Adam M., Sun, Yiyang, Schmid, Peter J., Taira, Kunihiko, and Cattafesta, Louis N. Active attenuation of a trailing vortex inspired by a parabolized stability analysis. United States: N. p., 2018. Web. doi:10.1017/jfm.2018.701.
Edstrand, Adam M., Sun, Yiyang, Schmid, Peter J., Taira, Kunihiko, & Cattafesta, Louis N. Active attenuation of a trailing vortex inspired by a parabolized stability analysis. United States. https://doi.org/10.1017/jfm.2018.701
Edstrand, Adam M., Sun, Yiyang, Schmid, Peter J., Taira, Kunihiko, and Cattafesta, Louis N. Wed . "Active attenuation of a trailing vortex inspired by a parabolized stability analysis". United States. https://doi.org/10.1017/jfm.2018.701. https://www.osti.gov/servlets/purl/1477439.
@article{osti_1477439,
title = {Active attenuation of a trailing vortex inspired by a parabolized stability analysis},
author = {Edstrand, Adam M. and Sun, Yiyang and Schmid, Peter J. and Taira, Kunihiko and Cattafesta, Louis N.},
abstractNote = {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.},
doi = {10.1017/jfm.2018.701},
journal = {Journal of Fluid Mechanics},
number = ,
volume = 855,
place = {United States},
year = {Wed Sep 19 00:00:00 EDT 2018},
month = {Wed Sep 19 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Schematic of trailing vortex wake of a three-dimensional half-span airfoil with NACA0012 profile. Isosurfaces of streamwise vorticity $\tilde{ω}$$x$ = —0.8 (transparent gray) and streamwise velocity perturbation (blue and red) of body force are visualized.

Save / Share:

Works referenced in this record:

Viscous and inviscid instabilities of a trailing vortex
journal, December 1992


Effect of Tip Vortices in Low-Reynolds-Number Poststall Flow Control
journal, March 2009

  • Taira, Kunihiko; Colonius, Tim
  • AIAA Journal, Vol. 47, Issue 3
  • DOI: 10.2514/1.40615

On the viscous modes of instability of a trailing line vortex
journal, April 1991


Parabolized Stability Equations
journal, January 1997


Dynamic mode decomposition of numerical and experimental data
journal, July 2010


A Linear Systems Approach to Flow Control
journal, January 2007


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

  • Edstrand, Adam M.; Schmid, Peter J.; Taira, Kunihiko
  • Journal of Fluid Mechanics, Vol. 837
  • DOI: 10.1017/jfm.2017.866

Vortex topology of wing tip blowing
journal, April 2010


The structure and development of a wing-tip vortex
journal, April 1996

  • Devenport, William J.; Rife, Michael C.; Liapis, Stergios I.
  • Journal of Fluid Mechanics, Vol. 312
  • DOI: 10.1017/S0022112096001929

Airplane Trailing Vortices
journal, January 1998


Optimal disturbances and bypass transition in boundary layers
journal, January 1999

  • Andersson, Paul; Berggren, Martin; Henningson, Dan S.
  • Physics of Fluids, Vol. 11, Issue 1
  • DOI: 10.1063/1.869908

Wake Vortex Alleviation Using Rapidly Actuated Segmented Gurney Flaps
journal, August 2007

  • Matalanis, Claude G.; Eaton, John K.
  • AIAA Journal, Vol. 45, Issue 8
  • DOI: 10.2514/1.28319

On the mechanism of trailing vortex wandering
journal, July 2016

  • Edstrand, Adam M.; Davis, Timothy B.; Schmid, Peter J.
  • Journal of Fluid Mechanics, Vol. 801
  • DOI: 10.1017/jfm.2016.440

Vortex Topology of Wing Tip Blowing
conference, June 2007

  • Margaris, Panagiotis; Gursul, Ismet
  • 45th AIAA Aerospace Sciences Meeting and Exhibit
  • DOI: 10.2514/6.2007-1122

Works referencing / citing this record:

Modal Analysis of Fluid Flows: Applications and Outlook
journal, March 2020

  • Taira, Kunihiko; Hemati, Maziar S.; Brunton, Steven L.
  • AIAA Journal, Vol. 58, Issue 3
  • DOI: 10.2514/1.j058462

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