Low-Dimensional Modelling for optimal streaks in the blasius boundary layer

Higuera, María and Vega de Prada, José Manuel (2012). Low-Dimensional Modelling for optimal streaks in the blasius boundary layer. In: "23rd International Congress of Theoretical and Applied Mechanics", 19/08/2012 - 24/08/2012, Beijing. pp. 1-7.

Description

Title: Low-Dimensional Modelling for optimal streaks in the blasius boundary layer
Author/s:
  • Higuera, María
  • Vega de Prada, José Manuel
Item Type: Presentation at Congress or Conference (Article)
Event Title: 23rd International Congress of Theoretical and Applied Mechanics
Event Dates: 19/08/2012 - 24/08/2012
Event Location: Beijing
Title of Book: Proceedings of the 23rd International Congress of Theoretical and Applied Mechanics
Date: 19 August 2012
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 the Blasius boundary layer. Optimal streaks are well known to exhibit an approximate self-similarity, namely the streamwise velocity re-scaled with their maximum remains almost independent of both the spanwise wavenumber and the streamwise coordinate. However, the reason of this self-similar behavior is still unexplained as well as unexploited. After revisiting the structure of the streaks near the leading edge singularity, two additional approximately self-similar relations involving the velocity components and their wall normal derivatives are identified. Based on these properties, we derive a low dimensional model with two degrees of freedom. The comparison with the results obtained from the linearized boundary layer equations shows that this model is consistent and provide good approximations.

More information

Item ID: 20335
DC Identifier: http://oa.upm.es/20335/
OAI Identifier: oai:oa.upm.es:20335
Official URL: http://fluid.ippt.pan.pl/conference_proceedings/ICTAM2012/
Deposited by: Memoria Investigacion
Deposited on: 30 Apr 2014 18:10
Last Modified: 28 Apr 2015 15:50
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