A Vector Study of Linearized Supersonic Flow Applications to Nonplanar Problems

Abstract

A vector study of the partial-differential equation of steady linearized supersonic flow is presented. General expressions, which relate the velocity potential in the stream to the conditions on the disturbing surfaces, are derived. In connection with these general expressions the concept of the finite part of an integral is discussed. A discussion of problems dealing with planar bodies is given and the conditions for the solution to be unique are investigated. Problems concerning nonplanar systems are investigated, and methods are derived for the solution of some simple nonplanar bodies. The surface pressure distribution and the damping in roll are found for rolling tails consisting of four, six, and eight rectangular fins for the Mach number range where the region of interference between adjacent fins does not affect the fin tips.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1952
Accession Number
ADA380442

Entities

People

  • John C. Martin

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Differential Equations
  • Discontinuities
  • Equations
  • Flow
  • Free Stream
  • Integral Equations
  • Leading Edges
  • Mach Number
  • Partial Differential Equations
  • Pressure Distribution
  • Rectangular Bodies
  • Right Angles
  • Scalar Functions
  • Supersonic Flow
  • Trailing Edges
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.
  • Fluid Dynamics.

Technology Areas

  • Hypersonics