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Bistable flow dynamics of airfoil stall under varying angle of attack: A stochastic model with multiplicative noise
Edouard Boujo1, Ivan Kharsansky Atallah2, Luc R Pastur3
1École Polytechnique Fédérale de Lausanne, Laboratory of Fluid Mechanics and Instabilities, CH-1015 Lausanne, Switzerland.
Abstract:
We focus on the intermittent bistable stall dynamics of an airfoil under varying angle of attack. We propose a one-dimensional Langevin equation where the stochastic forcing depends on the state of the system-high-lift attached flow or low-lift detached flow-and where the deterministic potential depends continuously on the angle of attack. The model, identified based on the flow statistics and dynamics, reproduces the S-shaped lift curve, as well as the flow dynamics. It also predicts the nature of the bifurcations that the flow undergoes as the angle of attack varies.
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