Theoretical and Computational Studies of a Rectangular Finite Wing Oscillating in Pitch and Heave

Abstract

This paper explores the extent of validity of Unsteady Lifting Line Theory (ULLT) for finite rectangular wings undergoing pitch-heave oscillation in the low Reynolds number regime. Sclavounos’ ULLT is compared to Theodorsen-based strip theory and high fidelity Computational Fluid Dynamics (CFD). Pitch and heave kinematics of different frequencies for wings with varying aspect ratio are considered. A pitch-heave equivalence theory is also tested by seeking equivalent pitching motions for given heave kinematics. It was found that the ULLT successfully modelled finite-wing effects up to high frequencies. The pitch-heave equivalence theory was found to be effective

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