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Memorias de investigación
Communications at congresses:
Modal description of optimal internal streaks in a Falkner-Skan Boundary Layer
Year:2009
Research Areas
  • Fluid mechanics
Information
Abstract
Understanding the growing disturbances in boundary layers is of crucial interest for numerous engineering applications. Here we examine the optimal streaky perturbations (which maximize energy growth) in a wedge flow boundary layer. These 3D perturbations are governed by a system of equations obtained by linearizing the 3D Navier-Stokes equations around the base flow given by the Falkner-Skan similarity solution. Based on an asymptotic analysis of this system near the free stream and the leading edge singularity, we show that optimal streaks can be described in terms of a single streamwise-growing solution of the linearized equations, which is associated with an eigenvalue problem first formulated in this context by Tumin (Phys. Fluids 13, 5, (2001)). Such a solution may be regarded as an internal spatially-unstable mode, in analogy with the usual eigenmodes of standard linear stability theory. An important consequence of this result is that the optimization procedure heretofore used to define optimal streaks is not necessary. Comparison with previous results in A.Tumin and D.E. Ashpis AIAA (2003) show excellent agreement.
International
Si
Congress
62nd Annual Meeting of the Division of Fluid Dynamics of the American Physical Society
960
Place
Minneapolis, Minnesota, E.E.U.U.
Reviewers
Si
ISBN/ISSN
0003-0503
Start Date
22/11/2009
End Date
24/11/2010
From page
84
To page
84
Bulletin of the American Physical Society
Participants
  • Autor: Jose Joaquin Sanchez Alvarez (UPM)
  • Autor: Maria Jesus Higuera Torron (UPM)
  • Autor: Jose Manuel Vega De Prada (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
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