Viscous-Inviscid Interactions in a Boundary-Layer Flow Induced by a Vortex Array |
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Authors: | Francesco Gargano Marco Sammartino Vincenzo Sciacca Kevin Cassel |
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Affiliation: | 1. CNR, Istituto per l’Ambiente Marino Costiero (IAMC), Via L. Vaccara 61, 91026, Mazara del Vallo, TP, Italy 2. Dipartimento di Matematica e Informatica, Università degli studi di Palermo, Via Archirafi 34, 90100, Palermo, Italy 3. Department of Mechanical, Materials, and Aerospace Engineering, Illinois Institute of Technology, 10 West 32nd Street, Chicago, IL, USA
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Abstract: | In this paper, we investigate the asymptotic validity of boundary-layer theory. For a flow induced by a periodic row of point-vortices, we compare Prandtl’s boundary-layer solution to Navier-Stokes solutions with different Reynolds numbers. We show how Prandtl’s solution develops a finite-time separation singularity. On the other hand, the Navier-Stokes solutions are characterized by the presence of two distinct types of viscous-inviscid interactions that can be detected by the analysis of the enstrophy and of the pressure gradient on the wall. Moreover, we apply the complex singularity-tracking method to Prandtl and Navier-Stokes solutions and analyze the previous interactions from a different perspective. |
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