Iterative control of Gortler vortices via local wall deformations

作者：Sescu Adrian^*; Taoudi Lamiae; Afsar Mohammed

来源：Theoretical and Computational Fluid Dynamics, 2018, 32(1): 63-72.

DOI：10.1007/s00162-017-0440-2

• Boundary layer control
• Gortler vortices
• Asymptotic methods

Gortler 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 Gortler vortices by locally modifying the surface geometry in spanwise and streamwise directions. Such wall deformations are accounted in the boundary region equations 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.

• 出版日期2018-2