Suboptimal control for drag reduction in turbulent pipe flow

Chun Xiao Xu; Jung Il Choi; Hyung Jin Sung

doi:10.1016/S0169-5983(02)00041-2

Suboptimal control for drag reduction in turbulent pipe flow

Chun Xiao Xu, Jung Il Choi, Hyung Jin Sung

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

11 Citations (Scopus)

Abstract

A suboptimal control law in turbulent pipe flow is derived and tested. Two sensing variables ∂ p/∂χ-_w and ∂υ_o/∂_w are applied with two actuations ∅_o and ∅_r. To test the suboptimal control law, direct numerical simulations of turbulent pipe flow at Re_τ = 150 are performed. When the control law is applied, a 13-23% drag reduction is achieved. The most effective drag reduction is made at the pair of ∂υ_o/∂r-_w and ∅_r. An impenetrable virtual wall is observed by the controlled wall suction and blowing. The virtual wall concept is useful for analyzing the near-wall behavior of the controlled flow. Comparison of the present suboptimal control with that of turbulent channel flow reveals that the curvature effect is insignificant.

Original language	English
Article number	638
Pages (from-to)	217-231
Number of pages	15
Journal	Fluid Dynamics Research
Volume	30
Issue number	4
DOIs	https://doi.org/10.1016/S0169-5983(02)00041-2
Publication status	Published - 2002

Bibliographical note

Funding Information:
This work was supported by a grant from the National Research Laboratory of the Ministry of Science and Technology, Korea. The first author acknowledges the support of KOSEF and NSFC (Grant No. 10072032 and 19732005). She also thanks the support of the Faculty of Mechanical Engineering of Tsinghua University.

All Science Journal Classification (ASJC) codes

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1016/S0169-5983(02)00041-2

Cite this

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title = "Suboptimal control for drag reduction in turbulent pipe flow",

abstract = "A suboptimal control law in turbulent pipe flow is derived and tested. Two sensing variables ∂ p/∂χ-w and ∂υo/∂w are applied with two actuations ∅o and ∅r. To test the suboptimal control law, direct numerical simulations of turbulent pipe flow at Reτ = 150 are performed. When the control law is applied, a 13-23% drag reduction is achieved. The most effective drag reduction is made at the pair of ∂υo/∂r-w and ∅r. An impenetrable virtual wall is observed by the controlled wall suction and blowing. The virtual wall concept is useful for analyzing the near-wall behavior of the controlled flow. Comparison of the present suboptimal control with that of turbulent channel flow reveals that the curvature effect is insignificant.",

keywords = "Drag reduction, Suboptimal control, Turbulent pipe flow",

author = "Xu, {Chun Xiao} and Choi, {Jung Il} and Sung, {Hyung Jin}",

note = "Funding Information: This work was supported by a grant from the National Research Laboratory of the Ministry of Science and Technology, Korea. The first author acknowledges the support of KOSEF and NSFC (Grant No. 10072032 and 19732005). She also thanks the support of the Faculty of Mechanical Engineering of Tsinghua University. ",

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T1 - Suboptimal control for drag reduction in turbulent pipe flow

AU - Xu, Chun Xiao

AU - Choi, Jung Il

AU - Sung, Hyung Jin

N1 - Funding Information: This work was supported by a grant from the National Research Laboratory of the Ministry of Science and Technology, Korea. The first author acknowledges the support of KOSEF and NSFC (Grant No. 10072032 and 19732005). She also thanks the support of the Faculty of Mechanical Engineering of Tsinghua University.

PY - 2002

Y1 - 2002

N2 - A suboptimal control law in turbulent pipe flow is derived and tested. Two sensing variables ∂ p/∂χ-w and ∂υo/∂w are applied with two actuations ∅o and ∅r. To test the suboptimal control law, direct numerical simulations of turbulent pipe flow at Reτ = 150 are performed. When the control law is applied, a 13-23% drag reduction is achieved. The most effective drag reduction is made at the pair of ∂υo/∂r-w and ∅r. An impenetrable virtual wall is observed by the controlled wall suction and blowing. The virtual wall concept is useful for analyzing the near-wall behavior of the controlled flow. Comparison of the present suboptimal control with that of turbulent channel flow reveals that the curvature effect is insignificant.

AB - A suboptimal control law in turbulent pipe flow is derived and tested. Two sensing variables ∂ p/∂χ-w and ∂υo/∂w are applied with two actuations ∅o and ∅r. To test the suboptimal control law, direct numerical simulations of turbulent pipe flow at Reτ = 150 are performed. When the control law is applied, a 13-23% drag reduction is achieved. The most effective drag reduction is made at the pair of ∂υo/∂r-w and ∅r. An impenetrable virtual wall is observed by the controlled wall suction and blowing. The virtual wall concept is useful for analyzing the near-wall behavior of the controlled flow. Comparison of the present suboptimal control with that of turbulent channel flow reveals that the curvature effect is insignificant.

KW - Drag reduction

KW - Suboptimal control

KW - Turbulent pipe flow

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JF - Fluid Dynamics Research

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ER -

Suboptimal control for drag reduction in turbulent pipe flow

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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