Inproceedings,

The Role of the Kutta-Joukowski Condition in the Numerical Solution of the Euler Equations for a Symmetrical Airfoil

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Integrating CFD and Experiments, (8--9 sep 2003)

Abstract

The solutions of the Euler equations are the approximate solutions of the Naviers-Stokes equations in the limit of vanishing viscosity (viscosity μ → 0 but μ = 0). These solution are used to predict the lift experienced by airfoils and wings within the framework of inviscid flow, at a certain angle of attack. The classical Kutta-Joukowski hypothesis enables us to determine these solutions by imposing the Kutta-Joukowski condition at the sharp trailing edge of the airfoil. In this work, we study the question of how the circulation required for lift is produced when time marching Euler calculations are performed for an airfoil. We discuss the vorticity production, within the framework of inviscid calculation, and its role in the generation of the lift within the framework of Euler codes used in CFD.

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