Optimal perturbations in boundary-layer flows over rough surfaces

Abstract

This work provides a three-dimensional energy optimization analysis, looking for perturbations inducing the largest energy growth at a finite time in a boundary-layer flow in the presence of roughness elements. The immersed boundary technique has been coupled with a Lagrangian optimization in a three-dimensional framework. Four roughness elements with different heights have been studied, inducing amplification mechanisms that bypass the asymptotical growth of Tollmien-Schlichting waves. The results show that even very small roughness elements, inducing only a weak deformation of the base flow, can strongly localize the optimal disturbance. Moreover, the highest value of the energy gain is obtained for a varicose perturbation. This result demonstrates the relevance of varicose instabilities for such a flow and shows a different behavior with respect to the secondary instability theory of boundary layer streaks.


Tutti gli autori

  • Cherubini S , de Tullio M D , De Palma P , Pascazio G

Titolo volume/Rivista

JOURNAL OF FLUIDS ENGINEERING


Anno di pubblicazione

2013

ISSN

0098-2202

ISBN

Non Disponibile


Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile


Numero di citazioni Scopus

Non Disponibile

0

Ultimo Aggiornamento Citazioni

2017-04-22 03:20:59


Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile