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Descripción
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| 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. | |
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Internacional
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Si |
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Entidad
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International Union of Theoretical and applied Mechanics |
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Lugar
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Beijing |
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Páginas
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2 |
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Referencia/URL
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http://fluid.ippt.pan.pl/conference_proceedings/ICTAM2012/ |
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Tipo de publicación
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Proceeding |