The Influence of Variable Flow Velocity on Unsteady Airfoil Behavior

The exact theory of unsteady airfoil aerodynamics in a periodically varying free-stream of Isaacs is generalized to include arbitrary location of pitch axis, infinite number of pitch harmonics, and infinite number of plunge motion harmonics. The indicial method is extended to account for these effects. The results are compared to simplified theories. The accuracy of the extended indicial method is validated with the exact solution.

[1]  Angle of Attack Increase of an Airfoil in Decelerating Flow , 1972 .

[2]  Rufus Isaacs,et al.  Airfoil Theory for Flows of Variable Velocity , 1945 .

[3]  W. R. Sears,et al.  Operational methods in the theory of airfoils in non-uniform motion , 1940 .

[4]  Franklin W. Diederich,et al.  Lift and moment responses to penetration of sharp-edged traveling gusts, with application to penetration of weak blast waves , 1957 .

[5]  W. Johnson,et al.  Application of unsteady airfoil theory to rotary wings , 1980 .

[6]  R. T. Jones The unsteady lift of a wing of finite aspect ratio , 1940 .

[7]  Holt Ashley,et al.  Two Methods for Predicting Air Loads on a Wing in Accelerated Motion , 1952 .

[8]  D. Favier,et al.  Dynamic Stall Due to Fluctuations of Velocity and Incidence , 1982 .

[9]  D. Favier,et al.  Experiments on an aerofoil at high angle of incidence in longitudinal oscillations , 1979, Journal of Fluid Mechanics.

[10]  W. Eversman,et al.  Modified Exponential Series Approximation for the Theodorsen Function , 1991 .

[11]  T. S. Beddoes,et al.  A Generalised Model for Airfoil Unsteady Aerodynamic Behaviour and Dynamic Stall Using the Indicial Method , 1986 .

[12]  J. Leishman Validation of approximate indicial aerodynamic functions for two-dimensional subsonic flow , 1988 .

[13]  J Mayo Greenberg,et al.  Airfoil in sinusoidal motion in a pulsating stream , 1947 .

[14]  G. Alvin Pierce,et al.  Drag on an Oscillating Airfoil in a Fluctuating Free Stream , 1979 .

[15]  L. Peterson,et al.  Improved exponential time series approximation of unsteady aerodynamic operators , 1988 .

[16]  D. Favier,et al.  Large-amplitude fluctuations of velocity and incidence of an oscillating airfoil , 1979 .