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Downstream development of fully nonlinear intrinsic streaks in the fat plate boundary layer
Research Areas
  • Fluid mechanics,
  • Aeronautical engineering
Abstract Luchini [JFM, vol.327, 1996] analyzed the flow near the leading edge of a flat plate boundary layer with zero incidence using the linearized Navier-Stokes equations around the Blasius solution. He found that there is just one single streaky mode (periodic in the spanwise direction) that grows downstream from the leading edge. The presence of this growing mode in the linearized problem indicates that, in the fully nonlinear problem, there is a one parameter family of 3D steady streak solutions that emerge from the Luchini mode at the leading edge of the boundary layer. In this presentation, we will show the results of the numerical computation of the downstream nonlinear evolution of this family of intrinsic streaks (we call them intrinsic because they appear in the complete abscense of any free stream perturbations). These nonlinear streaks are computed using the Reduced Navier Stokes (RNS) formulation, which is a boundary layer like formulation that is obtained from the complete Navier?Stokes equations in the high Reynolds number limit, and provides the correct asymptotic description of three-dimensional streaks. Typical nonlinear streak computations present in the literature are performed using either direct numerical simulation (DNS), or the nonlinear parabolized stability equations (PSE). The RNS integration requires much lower computational effort than using DNS, and it does not have the consistency and convergence problems of the PSE. We will show and comment the characteristics of the resulting Reynolds-number independent, fully nonlinear streaks, which show a strong spanwise localization, and are very different from the previously computed linear streaks.
Bifurcations and Instabilities in Fluid Dynamics, BIFD-2013
Haifa, Israel
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  • Autor: Juan Angel Martin Bautista (UPM)
  • Autor: Carlos Martel Escobar (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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