A Linearized Solution for Time-Dependent Velocity Potentials Near Three-Dimensional Wings at Supersonic Speeds

Abstract

A source-distribution method is applied to derive a solution for the time-dependent surface velocity potential of thin finite wings at supersonic speeds. The solution is illustrated by evaluating the upwash over the tip of an arbitrary-plan-boundary wing having a supersonic and subsonic leading edge. The upwash then gives the effective sources of the flow field lying between the wing plan boundary and the foremost Mach waves, which are applied in the derivation of the wing-surface velocity potential. A simple example, the load distribution on a wing whose effective angle of attack is changing linearly with time, is included to illustrate the applications of the derived expressions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1948
Accession Number
ADA380862

Entities

People

  • John C. Evvard

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Flow
  • Free Stream
  • Leading Edges
  • Load Distribution
  • Mach Number
  • Partial Differential Equations
  • Pressure Distribution
  • Spherical Waves
  • Static Pressure
  • Steady State
  • Swept Wings
  • Thin Wings
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Hypersonics