Mechanics and Mechanical Engineering |
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Kinematic optimization of 2D plunging airfoil motion using the response surface methodology |
Mahmoud Mekadem, Taha Chettibi, Samir Hanchi, Laurent Keirsbulck, Larbilabraga |
Fluids Mechanics Laboratory, Polytechnic Military School, Bordj el Bahri, Algiers 16045, Algeria; Structural Mechnics Laboratory, Polytechnic Military School, Bordj el Bahri, Algiers 16045, Algeria; TEMPO Laboratory, University of Valenciennes and Hainaut-Cambresis, 59313 Valenciennes Cedex 9, France |
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Abstract The propulsive efficiency of a plunging NACA0012 airfoil is maximized by means of a simple numerical optimization method based on the response surface methodology (RSM). The control parameters are the amplitude and the reduced frequency of the harmonic sinusoidal motion. The 2D unsteady laminar flow around the plunging airfoil is computed by solving the Navier-Stokes equations for three Reynolds number values (Re=3.3×103, 1.1×104, and 2.2×104). The Nelder-Mead algorithm is used to find the best control parameters leading to the optimal propulsive efficiency over the constructed response surfaces. It is found that, for a given efficiency level and regardless of the considered Re value, it is possible either to obtain high thrust by selecting a high oscillation frequency or to reduce the input power by adopting a low plunging amplitude.
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Received: 11 December 2010
Published: 18 January 2012
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