Transonic Flow Around Compressor Rotor Blade Elements. Volume I. Analysis.

Abstract

A numerical technique has been developed to obtain a solution for steady, transonic blade element flow in an axial compressor rotor of a turbomachine. Radius variation and stream surface convergence are included. The mixed-out exit conditions include shock wave losses and viscous mixing losses. The time-dependent Navier-Stokes equations in conservation law form are cast in a relative coordinate system suitable for describing rotor blade element flow. A discretized method of characteristics is used to determine the boundary conditions along the blade surface and exit plane. Steady, supersonic, uniform flow conditions are specified at upstream infinity, and periodicity is enforced on the remaining free boundaries. The hyperbolic/parabolic system of equations describing the mixed flow problem are approximated by the explicit MacCormack finite-difference scheme. The time-dependent numerical solution rapidly converges to a steady-state result. Comparisons are made with experimental data for two-dimensional cascade flows and rotor blade element flow. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0766248

Entities

People

  • Allen S. Novick
  • John W. Kurzrock

Organizations

  • General Motors

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Compressor Rotors
  • Compressors
  • Coordinate Systems
  • Equations
  • Experimental Data
  • Flow
  • Method Of Characteristics
  • Navier Stokes Equations
  • Rotors
  • Shock Waves
  • Steady State
  • Transonic Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flow