Design of Flapping Airfoil for Optimal Aerodynamic Performance in Low-Reynolds Number Flows

Unsteady, viscous, incompressible flows over an airfoil under flapping motion are numerically investigated. Depending on key parameters such as Reynolds number, reduced frequency, and flapping amplitudes, a flapping airfoil could experience complex flow fields. The trailing-edge vortex plays an important role to induce inverse Karman-vortex street which is a jetlike flow on the downstream and then generates thrust. And, the leading-edge separation vortex is closely related on the propulsive efficiency. Through careful computations of several pitching, plunging, and plunging combined with pitching modes in terms of flow and/or geometry parameters, the key physical flow phenomenon dictating the aerodynamic characteristics of flapping airfoil is identified. Based on the analysis of thrust coefficient and propulsive efficiency a new airfoil shape for optimal aerodynamic performance is proposed. The improved performance of the new flapping airfoil is validated in terms of thrust coefficient and propulsive efficiency in various low-Reynolds number flow regimes.

[1]  M. Triantafyllou,et al.  Oscillating foils of high propulsive efficiency , 1998, Journal of Fluid Mechanics.

[2]  Adrian L. R. Thomas,et al.  Leading-edge vortices in insect flight , 1996, Nature.

[3]  Oh-Hyun Rho,et al.  Parallel Computations of High-Lift Airfoil Flows Using Two-Equation Turbulence Models , 2000 .

[4]  Keiji Kawachi,et al.  Regular Article: A Numerical Study of Undulatory Swimming , 1999 .

[5]  M. Koochesfahani Vortical patterns in the wake of an oscillating airfoil , 1987 .

[6]  R. Ramamurti,et al.  Simulation of Flow About Flapping Airfoils Using Finite Element Incompressible Flow Solver , 2001 .

[7]  Ismail H. Tuncer,et al.  Nonsinusoidal Path Optimization of a Flapping Airfoil , 2007 .

[8]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[9]  Stuart E. Rogers,et al.  Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations , 1990 .

[10]  Max F. Platzer,et al.  Numerical Computation of Flapping-Wing Propulsion and Power Extraction , 1997 .

[11]  D. Kwak,et al.  Three-dimensional incompressible Navier-Stokes solver using lower-upper symmetric-Gauss-Seidel algorithm , 1991 .

[12]  C. Medaglia,et al.  A Numerical Study , 2005 .

[13]  A. Chorin A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[14]  Max F. Platzer,et al.  Computational Study of Flapping Airfoil Aerodynamics , 2000 .

[15]  Max F. Platzer,et al.  An Experimental and Numerical Investigation of Flapping-Wing Propulsion , 1999 .

[16]  K. Isogai,et al.  Effects of Dynamic Stall on Propulsive Efficiency and Thrust of Flapping Airfoil , 1999 .

[17]  D. Wilcox Simulation of Transition with a Two-Equation Turbulence Model , 1994 .