Suboptimal control for drag reduction via suppression of near-wall Reynolds shear stress

Koji Fukagata; Nobuhide Kasagi

doi:10.1016/j.ijheatfluidflow.2004.02.015

Suboptimal control for drag reduction via suppression of near-wall Reynolds shear stress

Koji Fukagata, Nobuhide Kasagi

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We propose a new suboptimal control law for drag reduction in wall-turbulence, which requires the streamwise wall-shear signal only. The cost function is designed to reduce the near-wall Reynolds shear stress that is directly related to the turbulent skin friction drag. The suboptimal solution to minimize the cost function is analytically derived by using the procedure proposed by Lee et al. [J. Fluid Mech. 358 (1998) 245]. Direct numerical simulation of turbulent pipe flow shows that the friction drag can be successfully reduced by the derived control law. Moreover, the sign of Reynolds shear stress in the near-wall layer is found to be reversed with the present control.

Original language	English
Pages (from-to)	341-350
Number of pages	10
Journal	International Journal of Heat and Fluid Flow
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/j.ijheatfluidflow.2004.02.015
Publication status	Published - 2004 Jun
Externally published	Yes

Keywords

Control
Control theory
Direct numerical simulation
Drag reduction
Reynolds shear stress
Turbulence

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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abstract = "We propose a new suboptimal control law for drag reduction in wall-turbulence, which requires the streamwise wall-shear signal only. The cost function is designed to reduce the near-wall Reynolds shear stress that is directly related to the turbulent skin friction drag. The suboptimal solution to minimize the cost function is analytically derived by using the procedure proposed by Lee et al. [J. Fluid Mech. 358 (1998) 245]. Direct numerical simulation of turbulent pipe flow shows that the friction drag can be successfully reduced by the derived control law. Moreover, the sign of Reynolds shear stress in the near-wall layer is found to be reversed with the present control.",

keywords = "Control, Control theory, Direct numerical simulation, Drag reduction, Reynolds shear stress, Turbulence",

author = "Koji Fukagata and Nobuhide Kasagi",

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AU - Fukagata, Koji

AU - Kasagi, Nobuhide

N1 - Funding Information: This work was supported through the Project for Organized Research Combination System by the Ministry of Education, Culture, Sports and Technology of Japan (MEXT). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

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N2 - We propose a new suboptimal control law for drag reduction in wall-turbulence, which requires the streamwise wall-shear signal only. The cost function is designed to reduce the near-wall Reynolds shear stress that is directly related to the turbulent skin friction drag. The suboptimal solution to minimize the cost function is analytically derived by using the procedure proposed by Lee et al. [J. Fluid Mech. 358 (1998) 245]. Direct numerical simulation of turbulent pipe flow shows that the friction drag can be successfully reduced by the derived control law. Moreover, the sign of Reynolds shear stress in the near-wall layer is found to be reversed with the present control.

AB - We propose a new suboptimal control law for drag reduction in wall-turbulence, which requires the streamwise wall-shear signal only. The cost function is designed to reduce the near-wall Reynolds shear stress that is directly related to the turbulent skin friction drag. The suboptimal solution to minimize the cost function is analytically derived by using the procedure proposed by Lee et al. [J. Fluid Mech. 358 (1998) 245]. Direct numerical simulation of turbulent pipe flow shows that the friction drag can be successfully reduced by the derived control law. Moreover, the sign of Reynolds shear stress in the near-wall layer is found to be reversed with the present control.

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KW - Control theory

KW - Direct numerical simulation

KW - Drag reduction

KW - Reynolds shear stress

KW - Turbulence

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Suboptimal control for drag reduction via suppression of near-wall Reynolds shear stress

Abstract

Keywords

ASJC Scopus subject areas

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