Velocity Distribution of Wing Sections of Arbitrary Shape in Compressible Potential Flow. 1 - Symmetric Flows Obeying the Simplified Density-Speed Relation

Abstract

As a first step towards the computation of the velocity distribution along a wing profile of arbitrary shape in a compressible fluid, the circulation-free flow around a symmetrical profile is treated under the assumption of the simplified density-speed relation due to Chaplygin, Karman, and Tsien. The velocity distribution problem is reduced to a non-linear integral equation which is solved by a fairly rapidly convergent iteration method. Numerical examples are given.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1946
Accession Number
ADA801301

Entities

People

  • Bers Lipman

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundary Value Problems
  • Complex Variables
  • Compressible Flow
  • Computations
  • Conformal Mapping
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Incompressible Flow
  • Integral Equations
  • Integrals
  • Iterations
  • Mach Number
  • Potential Flow
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.