Three-Dimensional Internal Flows in Turbomachinery. Task 1. Secondary Flow in Diffusing Cascades.

Abstract

The nonviscous three-dimensional rotational flow is analyzed in highly curved channels. The problem is formulated in terms of the velocity and vorticity. The secondary velocities are computed for the continuity and vorticity equations, which are nonhomogeneous first order equations. Previous formulations of these equations resulted in two second order differential equations. A new approach is developed, which is applicable in a generalized two dimensional domain or axisymmetric field. It is based on the definition of a streamlike function which is used to transform these nonhomogeneous first order partial differential equations to a single second order equation with Dirichlet boundary conditions over the solid boundaries. The new approach is superior in terms of computational time and storage requirements. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1979
Accession Number
ADA065696

Entities

People

  • Awatef A. Hamed

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Applied Mechanics
  • Argon Lasers
  • Computational Fluid Dynamics
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Measurement
  • Mechanics
  • Partial Differential Equations
  • Poisson Equation
  • Secondary Flow
  • Three Dimensional
  • Three Dimensional Flow
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis