Iterative control of Görtler vortices via local wall deformations

Adrian Sescu, Lamaie Taoudi, Mohammed Afsar

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Görtler vortices develop along concave walls as a result of the imbalance between the centrifugal force and radial pressure gradient. In this study, we introduce a simple control strategy aimed at reducing the growth rate of Görtler vortices by locally modifying the surface geometry in span- wise and streamwise directions. Such wall deformations are accounted in the boundary region equations (BRE) by using a Prandtl transform of dependent and independent variables. The vortex energy is then controlled via a classical proportional control algorithm for which either the wall-normal velocity or the wall shear stress serves as the control variable. Our numerical results indicate that the control algorithm is quite effective in minimizing the wall shear stress.
LanguageEnglish
Pages1-10
Number of pages10
JournalTheoretical and Computational Fluid Dynamics
Early online date26 Jun 2017
DOIs
Publication statusE-pub ahead of print - 26 Jun 2017

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Vortex flow
vortices
Shear stress
shear stress
Pressure gradient
proportional control
dependent variables
surface geometry
centrifugal force
pressure gradients
Geometry
energy
Direction compound

Keywords

  • boundary layer control
  • Gortler vortices

Cite this

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abstract = "G{\"o}rtler vortices develop along concave walls as a result of the imbalance between the centrifugal force and radial pressure gradient. In this study, we introduce a simple control strategy aimed at reducing the growth rate of G{\"o}rtler vortices by locally modifying the surface geometry in span- wise and streamwise directions. Such wall deformations are accounted in the boundary region equations (BRE) by using a Prandtl transform of dependent and independent variables. The vortex energy is then controlled via a classical proportional control algorithm for which either the wall-normal velocity or the wall shear stress serves as the control variable. Our numerical results indicate that the control algorithm is quite effective in minimizing the wall shear stress.",
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Iterative control of Görtler vortices via local wall deformations. / Sescu, Adrian; Taoudi, Lamaie; Afsar, Mohammed.

In: Theoretical and Computational Fluid Dynamics, 26.06.2017, p. 1-10.

Research output: Contribution to journalArticle

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AU - Sescu, Adrian

AU - Taoudi, Lamaie

AU - Afsar, Mohammed

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PY - 2017/6/26

Y1 - 2017/6/26

N2 - Görtler vortices develop along concave walls as a result of the imbalance between the centrifugal force and radial pressure gradient. In this study, we introduce a simple control strategy aimed at reducing the growth rate of Görtler vortices by locally modifying the surface geometry in span- wise and streamwise directions. Such wall deformations are accounted in the boundary region equations (BRE) by using a Prandtl transform of dependent and independent variables. The vortex energy is then controlled via a classical proportional control algorithm for which either the wall-normal velocity or the wall shear stress serves as the control variable. Our numerical results indicate that the control algorithm is quite effective in minimizing the wall shear stress.

AB - Görtler vortices develop along concave walls as a result of the imbalance between the centrifugal force and radial pressure gradient. In this study, we introduce a simple control strategy aimed at reducing the growth rate of Görtler vortices by locally modifying the surface geometry in span- wise and streamwise directions. Such wall deformations are accounted in the boundary region equations (BRE) by using a Prandtl transform of dependent and independent variables. The vortex energy is then controlled via a classical proportional control algorithm for which either the wall-normal velocity or the wall shear stress serves as the control variable. Our numerical results indicate that the control algorithm is quite effective in minimizing the wall shear stress.

KW - boundary layer control

KW - Gortler vortices

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DO - 10.1007/s00162-017-0440-2

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