Impact of flexibility on the aerodynamics of an aspect ratio two membrane wing

Abstract Development of an aeroelastic solver with application to flexible membrane wings for micro air vehicles is presented. A high-order (up to sixth order) Navier–Stokes solver is coupled with a geometrically nonlinear p-version Reissner–Mindlin finite element plate model to simulate the highly flexible elastic membrane. An implicit LES approach is employed to compute the mixed laminar/transitional/turbulent flowfields present for the low Reynolds number flows associated with micro air vehicles. Computations are performed for an aspect ratio two membrane wing at angles of attack α = 10 ° , 16° and 23° for a Reynolds number, Re = 24 300 . Comparisons of the computational results with experimental PIV and surface deflection measurements demonstrated reasonable agreement. Reduced separation and enhanced lift are obtained due to favorable interactions between the flexible membrane wing and the unsteady flow over the wing. The impact of flexibility on the aerodynamic performance comes primarily from the development of mean camber with some further effects arising from the interaction between the dynamic motion of the membrane and the unsteady flowfield above. At lower angles of attack this lift enhancement comes at the cost of reduced L/D. The nose-down pitching moment increases with flexibility at the lowest angle of attack but is reduced for the higher two angles of attack. These results suggest that membrane flexibility might provide a means to reduce the impact of a strong gust encounter by maintaining lift and reducing the effect of the gust on pitching moment.

[1]  Peter J. Attar Some results for approximate strain and rotation tensor formulations in geometrically non-linear Reissner Mindlin plate theory , 2008 .

[2]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[3]  Raymond E. Gordnier,et al.  High-Order Simulations of Low Reynolds Number Membrane Airfoils under Prescribed Motion , 2011 .

[4]  Miguel R. Visbal,et al.  High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI , 1998 .

[5]  Rafael Palacios,et al.  Leading- and trailing-edge effects on the aeromechanics of membrane aerofoils , 2013 .

[6]  Ismet Gursul,et al.  Flow-induced vibrations of low aspect ratio rectangular membrane wings , 2011 .

[7]  Yongsheng Lian,et al.  Three-Dimensional Fluid-Structure Interactions of a Membrane Wing for Micro Air Vehicle Applications , 2003 .

[8]  B. G. Newman,et al.  Aerodynamic theory for membranes and sails , 1987 .

[9]  Kenneth Breuer,et al.  Aeromechanics of Membrane Wings with Implications for Animal Flight ArnoldSong, ∗ XiaodongTian, † EmilyIsraeli, ‡ RicardoGalvao, § KristinBishop, ¶ SharonSwartz, ∗∗ , 2008 .

[10]  I. Babuska,et al.  Finite Element Analysis , 2021 .

[11]  M. P. Païdoussis,et al.  The stability of two-dimensional membranes in streaming flow , 1991 .

[12]  Miguel R. Visbal,et al.  On the use of higher-order finite-difference schemes on curvilinear and deforming meshes , 2002 .

[13]  Yongsheng Lian,et al.  A COMPUTATIONAL MODEL FOR COUPLED MEMBRANE-FLUID DYNAMICS , 2002 .

[14]  Wei Shyy,et al.  Numerical Simulations of Membrane Wing Aerodynamics for Micro Air Vehicle Applications , 2005 .

[15]  Miguel R. Visbal,et al.  Further development of a Navier-Stokes solution procedure based on higher-order formulas , 1999 .

[16]  M. Visbal VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES , 2001 .

[17]  Peter J. Attar,et al.  Implicit LES Simulations of a Low Reynolds Number Flexible Membrane Wing Airfoil , 2009 .

[18]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[19]  Ismet Gursul,et al.  Unsteady fluid–structure interactions of membrane airfoils at low Reynolds numbers , 2009 .

[20]  Reid Melville,et al.  Dynamic aeroelastic simulation of complex configurations using overset grid systems , 2000 .

[21]  Dragos Viieru,et al.  Membrane Wing-Based Micro Air Vehicles , 2005 .

[22]  Miguel R. Visbal,et al.  High-Order-Accurate Methods for Complex Unsteady Subsonic Flows , 1999 .

[23]  Raymond E. Gordnier,et al.  High fidelity computational simulation of a membrane wing airfoil , 2008 .

[24]  Majid Molki,et al.  Oscillatory motions of a prestrained compliant membrane caused by fluid–membrane interaction , 2010 .

[25]  Per-Olof Persson,et al.  A High Order Discontinuous Galerkin Method for Fluid-Structure Interaction , 2007 .

[26]  O. P. Le Maître,et al.  Unsteady model of sail and flow interaction , 1999 .

[27]  Miguel R. Visbal,et al.  A high-order flow solver for deforming and moving meshes , 2000 .

[28]  T. Pulliam,et al.  A diagonal form of an implicit approximate-factorization algorithm , 1981 .