Solutions for a Source-Like Disturbance in a Weakly Nonuniform Potential Flow.

Abstract

Solutions valid to first order in flow nonuniformity are determined for a source-like infinitesimal disturbance embedded in a two-dimensional or axisymmetric subsonic or supersonic potential flow. A transformation is presented which gives the solutions directly in terms of the familiar ones for a uniform flow. With the aid of parametric differentiation, formally exact solutions are also constructed for a general three-dsional flow, but these are found to be computationally quite unwieldy. An approximation is instead proposed, which is based on the axisymmetric solution and which is found to produce the correct first-order solution in simple cases of flow nonuniformity. The solutions presented are developed primarily for use in calculations of nonlinear flow fields with the method of parametric differentiation, but may also be useful in flow interference problems as well as in the calculation of corrections due to wind tunnel flow imperfections. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0714113

Entities

People

  • Marten T. Landahl

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Flow
  • Flow Fields
  • Nonuniform
  • Potential Flow
  • Two Dimensional
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flight