Unsteady Airfoil Theory

Publisher Summary The unsteady airfoil theory refers to the part of aerodynamics that considers the calculation of the pressure distribution over an airfoil moving with constant speed while performing an unsteady motion in the direction perpendicular to its plane. To determine the pressure distribution over an airfoil performing an arbitrary motion normal to its plane , indicial functions are used. These functions describe a lift or moment or, more generally, a pressure distribution as functions of time after a unit-step disturbance of either the angle of attack or the rate of pitch at constant angle of attack is applied. The results obtained in the analysis of arbitrary normal motions are of importance for the calculation of gust loads. For this problem, the variation of the pressure distribution with time, caused by the entrance of an airfoil into a gust front, also needs to be known.

[1]  John W. Miles.  Transient Loading of Wide Delta Airfoils at Supersonic Speeds , 1951 .

[2]  F. Goldsworthy,et al.  TWO-DIMENSIONAL ROTATIONAL FLOW AT HIGH MACH NUMBER PAST THIN AEROFOILS , 1952 .

[3]  Holt Ashley,et al.  PARAMETRIC STUDIES OF VISCOUS AND NONVISCOUS UNSTEADY FLOWS , 1955 .

[4]  H. R. Lawrence.  The Aerodynamic Forces on Low Aspect Ratio Wings Oscillating in an Incompressible Flow , 1952 .

[5]  R. Timman,et al.  Aerodynamic Coefficients of an Oscillating Airfoil in Two-Dimensional Subsonic Flow , 1951 .

[6]  Hsue-shen Tsien,et al.  On Two-Dimensional Non-steady Motion of a Slender Body in a Compressible Fluid , 1948 .

[7]  J. Gunn.  Linearized supersonic aerofoil theory part I , 1947, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[8]  A General Method for Solving Problems of the Unsteady Lifting Surface Theory in the Subsonic Range , 1954 .

[9]  A general solution for the rectangular airfoil in supersonic flow , 1953 .

[10]  J. Miles.  On Solving Subsonic Unsteady Flow Lifting Surface Problems by Separating Variables , 1954 .

[11]  Theodore R. Goodman.  Aerodynamics of a Supersonic Rectangular Wing Striking a Sharp-Edged Gust , 1951 .

[12]  A. I. Vooren.  Generalization of the Theodorsen Function to Stable Oscillations , 1952 .

[13]  M. J. Lighthill,et al.  A New Approach to Thin Aerofoil Theory , 1951 .

[14]  D Milton,et al.  A study of second-order supersonic-flow theory , 1952 .

[15]  S. Rabinowitz,et al.  Aerodynamic coefficients for an oscillating airfoil with hinged flap, with tables for a Mach number of 0.7 , 1950 .

[16]  Charles E. Watkins,et al.  On the Kernel function of the integral equation relating lift and downwash distributions of oscillating wings in supersonic flow , 1955 .

[17]  Slender Body Theory for Supersonic Unsteady Flow , 1952 .

[18]  Harvard Lomax,et al.  Lift Developed on Unrestrained Rectangular Wings Entering Gusts at Subsonic and Supersonic Speeds , 1954 .

[19]  S. V. Borbély.  Über die Luftkräfte, die auf einen harmonisch schwingenden zweidimensionalen Flügel bei Überschallgeschwindigkeit wirken . , 1942 .

[20]  William John Strang,et al.  Transient lift of three-dimensional purely supersonic wings , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[21]  Eric Reissner.  On the Application of Mathieu Functions in the Theory of Subsonic Compressible Flow Past Oscillating Airfoils , 1951 .

[22]  T. Theodorsen.  General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[23]  I. E. Garrick,et al.  Flutter and oscillating air-force calculations for an airfoil in a two-dimensional supersonic flow , 1946 .

[24]  M. J. Lighthill,et al.  Oscillating Airfoils at High Mach Number , 1953 .

[25]  John R. Spreiter,et al.  Reciprocity relations in aerodynamics , 1952 .

[26]  G. F. Carrier.  The Oscillating Wedge in a Supersonic Stream , 1949 .

[27]  Harvard Lomax,et al.  Two-and three-dimensional unsteady lift problems in high-speed flight , 1952 .

[28]  D Milton.  On supersonic flow past an oscillating wedge , 1953 .

[29]  Harry L. Runyan,et al.  On the Kernel Function of the Integral Equation Relating the Lift and Downwash Distributions of Oscillating Finite Wings in Subsonic Flow , 1955 .

[30]  I. E. Garrick,et al.  Theoretical study of air forces on an oscillating or steady thin wing in a supersonic main stream , 1947 .

[31]  D. Milton.  Supersonic flow past oscillating airfoils including nonlinear thickness effects , 1953 .

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

[33]  J. A. Drischler,et al.  Numerical determination of indicial lift and moment functions for a two-dimensional sinking and pitching airfoil at Mach numbers 0.5 and 0.6 , 1952 .

[34]  John W. Miles.  Transient Loading of Supersonic Rectangular Airfoils , 1950 .

[35]  T. Y. Li.  On an Integral Equation in the Supersonic Oscillating Wing Theory , 1953 .

[36]  Joseph L. Neuringer,et al.  Aerodynamic Flutter Derivatives for a Flexible Wing with Supersonic and Subsonic Edges , 1955 .

[37]  D Milton,et al.  A study of hypersonic small-disturbance theory , 1954 .

[38]  M. Dengler.  Concerning "The Subsonic Calculation of Circulatory Spanwise Loadings for OsciIlating Airfoils by Lifting-Line Techniques" , 1952 .