Drag reduction effect by a wave-like wall-normal body force in a turbulent channel flow

Hiroya Mamori, Koji Fukagata

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Skin-friction drag reduction effect of a wave-like wall-normal body force in a fully developed turbulent channel flow is investigated by means of direct numerical simulation. The flow rate is kept constant; the bulk Reynolds number is set at 5600, which corresponds to the friction Reynolds number of about 180 in the uncontrolled flow. An exponential decay of the wall-normal body force is assumed so that the body force acts in the regions near the walls only. The friction drag is found to decrease when the wave travels in the upstream direction at slower wavespeeds than the bulk-mean velocity; the maximum drag reduction rate of about 40% is achieved in the case of a stationary control input. The net energy saving rate, however, is found to be mostly negative and, if positive, subtle. Visualization of the flow field shows attenuation of streamwise vortical structures and existence of spanwise roller-like vortices. The spanwise roller-like vortices are found to produce a negative Reynolds shear stress in the regions near the walls, which contributes to the reduction of friction drag. A linear analysis reveals that the spanwise roller-like vortices are well described by a linearized Navier-Stokes equation.

Original languageEnglish
Article number115104
JournalPhysics of Fluids
Volume26
Issue number11
DOIs
Publication statusPublished - 2014 Nov 14

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drag reduction
friction drag
channel flow
rollers
vortices
Reynolds number
skin friction
Reynolds stress
direct numerical simulation
Navier-Stokes equation
upstream
travel
shear stress
flow distribution
friction
flow velocity
attenuation
decay
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Drag reduction effect by a wave-like wall-normal body force in a turbulent channel flow. / Mamori, Hiroya; Fukagata, Koji.

In: Physics of Fluids, Vol. 26, No. 11, 115104, 14.11.2014.

Research output: Contribution to journalArticle

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