Experimental control of Tollmien-Schlichting waves using the Wiener-Hopf formalism - École nationale supérieure de mécanique et d’aérotechnique
Article Dans Une Revue Physical Review Fluids Année : 2023

Experimental control of Tollmien-Schlichting waves using the Wiener-Hopf formalism

Résumé

Reactive flow control has been shown as a promising tool to improve, among other aspects, the aerodynamic characteristics of an aircraft. This paper focuses on the use of reactive flow control to attenuate Tollmien-Schlichting (TS) waves over a wing profile. TS waves are an instability mechanism that is one of the first stages of boundary layer transition to turbulence. The Wiener-Hopf technique was used in this work for the experimental boundary layer control. The approach improves previous wave-cancellation techniques that, by constructing control kernels in the frequency domain, lead to control kernels with a non-causal part, i.e., actuation would need future sensor information to be constructed. In practical applications, it is unfeasible to access this type of information. Ignoring the non-causal part of the kernel leads to suboptimal solutions that might significantly degrade the performance of the controller. The Wiener-Hopf formalism allows us to take into account causality constraints in the formulation of the control problem, leading to an optimal realistic solution and a control kernel that is causal by construction. Moreover, it is possible to construct the control strategy based only on the power and cross-spectra obtained experimentally, in a data-driven approach. The present work shows how to apply experimentally the Wiener-Hopf resolvent-based formalism using signals from a wind tunnel experiment, demonstrating that the Tollmien-Schlichting waves can be effectively attenuated via a Wiener-Hopf based controller, which yielded better results than a typical wave-cancellation approach.
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Dates et versions

hal-04694530 , version 1 (18-09-2024)

Identifiants

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Diego Audiffred, André Cavalieri, Pedro Brito, Eduardo Martini. Experimental control of Tollmien-Schlichting waves using the Wiener-Hopf formalism. Physical Review Fluids, 2023, 8 (7), pp.073902. ⟨10.1103/PhysRevFluids.8.073902⟩. ⟨hal-04694530⟩
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