Phase relationship in laminar channel flow controlled by traveling-wave-like blowing or suction

Hiroya Mamori, Koji Fukagata, Jerôme Hoepffner

研究成果: Article査読

19 被引用数 (Scopus)

抄録

The phase relationship between the streamwise and the wall-normal velocity disturbances induced by a traveling-wave-like blowing or suction control in a two-dimensional laminar Poiseuille flow is investigated. The investigation is done by solving the linearized Navier-Stokes equation and by using the identity equation between the skin-friction drag and the Reynolds shear stress. It has been known that a traveling wave creates a nonquadrature between the velocity disturbances and generates the positive phase shift of the streamwise velocity disturbance in the case of a skin-friction drag reduction. The present analysis further reveals that this nonquadrature consists of an inviscid base phase relationship and a near-wall phase shift induced by the viscosity. The analogy between the present control and Stokes' second problem is discussed. The thickness of the near-wall region in which the viscous phase shift takes place is found to be scaled similarly to the Stokes' second problem.

本文言語English
論文番号046304
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
81
4
DOI
出版ステータスPublished - 2010 4 9

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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