An Exact Solution to the Transonic Equation,

Abstract

The small disturbance equation of transonic flow is solved by a separation of variables technique. The resulting ordinary, nonlinear differential equations are studied in the phase plane where the general solution represents the behavior of the perturbation velocities. In the phase plane, the character of transonic flow is evident. An asymptotic explicit solution is given which encompasses the sonic flow solution. Numerical integration results for the implicit equations are presented and two flows are examined which are intrinsic to the form of the solution.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA011086

Entities

People

  • Oscar Biblarz

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Numerical Integration
  • Personality
  • Perturbations
  • Real Variables
  • Transonic Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.