High Reynolds number Navier–Stokes solutions and boundary layer separationinduced by a rectilinear vortex

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We compute the solutions of Prandtl’s and Navier–Stokes equations for the two dimensional flowinduced by a rectilinear vortex interacting with a boundary in the half plane. For this initial datumPrandtl’s equation develops, in a finite time, a separation singularity. We investigate the different stagesof unsteady separation for Navier–Stokes solution at different Reynolds numbers Re = 10^3–10^5, and weshow the presence of a large-scale interaction between the viscous boundary layer and the inviscid outerflow. We also see a subsequent stage, characterized by the presence of a small-scale interaction, which isvisible only for moderate-high Re numbers Re = 10^4–10^5. We also investigate the asymptotic validity ofboundary layer theory by comparing Prandtl’s solution to Navier–Stokes solutions during the variousstages of unsteady separation.
Lingua originaleEnglish
pagine (da-a)73-91
Numero di pagine19
Stato di pubblicazionePublished - 2011

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