Low-dimensional modeling of streaks in a wedge flow boundary layer

Higuera, María and Vega de Prada, José Manuel (2012). Low-dimensional modeling of streaks in a wedge flow boundary layer. "Physics of Fluid", v. 24 (n. 5); pp.. ISSN 1070-6631. https://doi.org/10.1063/1.4711371.

Description

Title: Low-dimensional modeling of streaks in a wedge flow boundary layer
Author/s:
  • Higuera, María
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Physics of Fluid
Date: May 2012
ISSN: 1070-6631
Volume: 24
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper is concerned with the low dimensional structure of optimal streaks in a wedge flow boundary layer, which have been recently shown to consist of a unique (up to a constant factor) three-dimensional streamwise evolving mode, known as the most unstable streaky mode. Optimal streaks exhibit a still unexplored/unexploited approximate self-similarity (not associated with the boundary layer self-similarity), namely the streamwise velocity re-scaled with their maximum remains almost independent of both the spanwise wavenumber and the streamwise coordinate; the remaining two velocity components instead do not satisfy this property. The approximate self-similar behavior is analyzed here and exploited to further simplify the description of optimal streaks. In particular, it is shown that streaks can be approximately described in terms of the streamwise evolution of the scalar amplitudes of just three one-dimensional modes, providing the wall normal profiles of the streamwise velocity and two combinations of the cross flow velocity components; the scalar amplitudes obey a singular system of three ordinary differential equations (involving only two degrees of freedom), which approximates well the streamwise evolution of the general streaks.

More information

Item ID: 16355
DC Identifier: http://oa.upm.es/16355/
OAI Identifier: oai:oa.upm.es:16355
DOI: 10.1063/1.4711371
Official URL: http://scitation.aip.org/content/aip/journal/pof2/24/5/10.1063/1.4711371
Deposited by: Memoria Investigacion
Deposited on: 08 Apr 2014 17:19
Last Modified: 28 Apr 2015 15:44
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