Inspired by the recent finding by Min et al. [J. Fluid Mech. 558, 309 (2006)], the stability of a channel flow subject to wall blowing and suction in the form of a traveling wave is investigated by combined use of the Floquet analysis, direct numerical simulation, and singular value decomposition analysis. Results show that stability highly depends on the phase speed of the traveling wave; most disturbances become highly unstable when the phase speed is around 40% of the centerline velocity, while streamwise streak-type three-dimensional disturbances become stabilized with transient growth suppressed when the phase speed exceeds the centerline velocity for both subcritical and supercritical Reynolds numbers. This destabilization is interpreted by investigation of wave interactions. An upstream-traveling wave, which reduces mean drag, does not stabilize the flow.
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October 2008
Research Article|
October 31 2008
Stability of a channel flow subject to wall blowing and suction in the form of a traveling wave
Changhoon Lee;
Changhoon Lee
a)
1School of Mechanical Engineering,
Yonsei University
, 134 Shinchon-dong, Seodaemun-gu, Seoul 120-749, Republic of Korea
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Taegee Min;
Taegee Min
b)
2Department of Mechanical and Aerospace Engineering,
University of California, Los Angeles
, 48-121, Engineering IV, Los Angeles, California 90095-1597, USA
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John Kim
John Kim
2Department of Mechanical and Aerospace Engineering,
University of California, Los Angeles
, 48-121, Engineering IV, Los Angeles, California 90095-1597, USA
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a)
Electronic mail: clee@yonsei.ac.kr.
b)
Present address: LCD Technology Center, Samsung Electronics Co., LTD, San #24 Nongseo-Dong, Giheung-Gu, Yongin-City, Gyeonggi-Do 446-711, Korea.
Physics of Fluids 20, 101513 (2008)
Article history
Received:
January 26 2008
Accepted:
May 04 2008
Citation
Changhoon Lee, Taegee Min, John Kim; Stability of a channel flow subject to wall blowing and suction in the form of a traveling wave. Physics of Fluids 1 October 2008; 20 (10): 101513. https://doi.org/10.1063/1.3006057
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