A NUMERICAL APPRAISAL OF THREE THEORETICAL DESCRIPTIONS OF TRANSONIC FLOW BY MEANS OF SERIAL EXPANSIONS.

Abstract

In the presentation of transonic flow by algebraic series the regions which do not converge were found numerically for the three expansions suggested respectively by Martensen, Hopkins and Hill, and Hall. It is concluded that Martensen's series may be used if the radius of curvature of the throat wall is larger than four times the radius of the nozzle throat. Hopkins and Hill's series may be trusted down to a radius of curvature equal to the throat radius, if sufficient terms are taken into account. Hall's series are not recommended. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0709841

Entities

People

  • H. Treutler

Tags

DTIC Thesaurus Topics

  • Curvature
  • Curves (Geometry)
  • Differential Geometry
  • Flow
  • Fluid Flow
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Transonic Flow

Readers

  • Approximation Theory.
  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)