Nonlinear Small-Disturbance Equations for Three-Dimensional Transonic Flow through a Compressor Blade Row.

Abstract

A derivation is given of the nonlinear, small-disturbance equations governing three-dimensional transonic flow through a fan or compressor rotor. These equations represent the counterpart, for turbomachinery flows, of the small-disturbance equations appropriate to an isolated airfoil. Thus, they facilitate the application to turbomachinery flows of the many numerical solution methods developed in recent years for isolated-airfoil problems. Boundary conditions for design and off-design conditions are formulated, at a level of approximation consistent with the small-disturbance field equations. An order-of-magnitude analysis is presented, which reveals the transonic similarity parameters for flow in blade rows of low and high solidity. The validity of a rectilinear transonic shear flow as a representation of the flow through a fan or rotor is also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA031234

Entities

People

  • William J. Rae

Organizations

  • Calspan

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Compressor Blades
  • Compressor Rotors
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Geometry
  • Mach Number
  • Mechanical Engineering
  • New York
  • Radial Velocity
  • Shear Flow
  • Three Dimensional
  • Turbomachinery

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Mechanics and Fluid Dynamics.
  • Theoretical Analysis.