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Initial growth of a disturbance in a boundary layer influenced by a circular cylinder wake

Published online by Cambridge University Press:  08 February 2013

Guosheng He ,
Jinjun Wang  and
Chong Pan
Guosheng He
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beijing University of Aeronautics and Astronautics, 100191 Beijing, P.R. China
Jinjun Wang*
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beijing University of Aeronautics and Astronautics, 100191 Beijing, P.R. China
Chong Pan
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beijing University of Aeronautics and Astronautics, 100191 Beijing, P.R. China
*
†Email address for correspondence: jjwang@buaa.edu.cn
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Abstract

The initial growth of a disturbance induced by a near-wall circular cylinder in a flat-plate boundary layer is experimentally investigated using both particle image velocimetry and hydrogen bubble visualization techniques. The secondary spanwise vortices appear in the near-wall region as a direct response to the outside passing wake vortices, consistent with previous studies on similar models (Pan et al., J. Fluid Mech., vol. 603, 2008, pp. 367–389; Mandal & Dey, J. Fluid Mech., vol. 684, 2011, pp. 60–84). The streamwise variation of the total disturbance energy within the boundary layer shows a two-stage growth, which characterizes the initial transition process: the first exponential growth stage, followed by a region with slower growth rate. It is revealed that these two stages of growth are related to the formation and the destabilization of the secondary vortex in the near-wall region. The technique of dynamic mode decomposition is used to decompose the total disturbance into temporally orthogonalized modes, and it shows that the first growth stage largely results from the increased disturbance at the same frequency as that of the wake vortex shedding, while the second growth stage comprises the disturbance growth in a number of frequencies, especially the lower ones.

JFM classification

Boundary Layers: Boundary Layers Instability: Transition to turbulence Vortex Flows: Vortex Flows

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 718 , 10 March 2013 , pp. 116 - 130
Copyright
©2013 Cambridge University Press

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