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Asymptotic Modeling of a Viscous Laminar Flow Around Thin Airfoils: Resolution and Experimental Treatment in Case of Supersonic Flow
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DOI: https://doi.org/10.15866/ireme.v16i1.21870
Abstract
In this paper, starting from the conservation equations in a 2D orthogonal curvilinear coordinate system, an approached asymptotic model for perturbed potential flow equation is established. The study considers a high-speed steady laminar irrotational flow of a compressible and viscous fluid, over thin airfoils at low incidence in the standard atmosphere. This study is aimed to contribute to developing a fully two-dimensional general model that is efficiently applicable to industrial scale and scientific research, in a laminar flow, defined on thin geometries as it takes into consideration both compressibility and viscous effects. The singular perturbation model is solved in case of supersonic viscous flow, based on asymptotic and singular perturbation methods. Asymptotic matching of different layers is done through the triple deck theory. Experimental measurements have been conducted, with the AF300 supersonic wind tunnel, on a NACA 43013 airfoil model fitted with two pressure taps. The comparison of the local Mach numbers between the asymptotic model and the experimentation shows the accuracy of the model in case of laminar flow but diverge relatively as the flow becomes turbulent towards the trailing edge.
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