CALCULATION OF PLANE STEADY TRANSONIC FLOWS,

Abstract

Steady transonic flow past thin airfoils is formulated using small disturbance theory. The governing transonic potential equation is a non-linear mixed (Elliptic-hyperbolic) differential equation. A boundary value problem is formulated and an analytical far field solution derived. For the near field a mixed finite difference system is developed to solve the transonic equation including cases with imbedded shock waves. Results are presented for non-lifting circular arc airfoils and a Nieuwland airfoil. Agreement with experiment for the circular arc airfoils, and exact theory for the shock free Nieuwland airfoil is excellent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0701153

Entities

People

  • Earll M. Murman
  • Julian D. Cole

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Far Field
  • Flow
  • Mathematics
  • Near Field
  • New York
  • Shock
  • Shock Waves
  • Transonic Flow

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.