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Time-Dependent Optimal Perturbations for the Algebraic Instability in the Nonlinear Regime

[+] Author Affiliations
Simone Zuccher

Politecnico di Milano, Milano, Italy

Paolo Luchini

Università di Salerno, Fisciano, Italy

Paper No. FEDSM2002-31049, pp. 1387-1393; 7 pages
doi:10.1115/FEDSM2002-31049
From:
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 1: Fora, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3615-0 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME

abstract

The aim of the present study is to extend the linear unsteady optimal-perturbation analysis of (Luchini 2000) to the nonlinear regime. In order to account for the nonlinear interactions, a Fourier expansion is applied in the streamwise direction and in time and the solution is decomposed in Fourier modes along both z and t. The optimal unsteady spanwise-sinusoidal leading-edge excitation that provides the maximum energy growth for a given initial energy and frequency can thus be determined. Of interest will be that the optimal growth decreases with both.

Copyright © 2002 by ASME

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