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Leading-edge flow reattachment and the lateral static stability of low-aspect-ratio rectangular wings

Thomas Linehan

Kamran Mohseni*

  • Department of Mechanical & Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA

  • Department of Mechanical & Aerospace Engineering and Department of Electrical and Computer Engineering, University of Florida, Gainesville, Florida 32611, USA

  • *mohseni@ufl.edu

Phys. Rev. Fluids 2, 113901 – Published 13 November, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.113901

Abstract

The relationship between lateral static stability derivative, Clβ, lift coefficient, CL, and angle of attack was investigated for rectangular wings of aspect ratio AR =0.75,1,1.5, and 3 using Stereo-Digital Particle Image Velocimetry (S-DPIV) and direct force and moment measurements. When the product ClβAR is plotted with respect to CL, the lateral stability curves of each wing collapse to a single line for CL<0.7. For CL>0.7, the linearity and scaling of Clβ with respect to CL is lost. S-DPIV is used to elucidate the flow physics in this nonlinear regime. At α=10, the leading-edge separation region emerges on the leeward portion of the sideslipped wing by means of vortex shedding. For the AR 1.5 wings at α>15, the tip vortex downwash is sufficient to restrict the shedding of leading-edge vorticity thereby sustaining the lift of the leading-edge separation region at high angles of attack. Concurrently, the windward tip vortex grows in size and strength with increasing angle of attack, displacing the leading-edge separation region further toward the leeward wing. This reorganization of lift-generating vorticity results in the initial nonlinearities between Clβ and CL at angles of attack for which CL is still increasing. At angles of attack near that of maximum lift for the AR 1 wings, the windward tip vortex lifts off the wing, decreasing the lateral static stability of the wing prior to lift stall. For the AR=3 wing at α>10, nonlinear trends in Clβ versus CL occur due to the spanwise evolution of stalled flow.

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