Calculations on the Forces and Moments for an Oscillating Wing-Aileron Combination in Two-Dimensional Potential Flow at Sonic Speed

Abstract

The linearized theory for compressible unsteady flow is used, as suggested in recent contributions to the subject, to obtain the velocity potential and the lift and moment for a thin, harmonically oscillating, two dimensional wing-aileron combination moving at sonic speed. The velocity potential is derived by considering the sonic case as the limit of the linearized supersonic theory. From the velocity potential explicit expressions for the lift and moment are developed for vertical translation and pftching of the wing and rotation of the aileron. The paper provides e%ensive tables of numerical values for the coefficients contained in the expressions for lift and moment, for various values of the reduced frequency k and aileron hinge position (from 10 to 90 percent of the wing chord). The sonic results are compared and found to be consistent with previously obtained subsonic and supersonic results. Several figures are presented showing the variation of lift and moment with reduced frequency and Mach number and the influence of Mach number on some cases of bending-torsion flutter.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1952
Accession Number
ADA380459

Entities

People

  • Herbert C. Nelson
  • Julian H. Berman

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Boundary Value Problems
  • Cartesian Coordinates
  • Compressible Flow
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Flight Speeds
  • Flow
  • Frequency
  • Fresnel Integrals
  • Integrals
  • Leading Edges
  • Mach Number
  • Two Dimensional
  • Two Dimensional Flow

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Hypersonics