A New Approach for Solving the Vorticity and Continuity Equations in Turbomachinery Ducts.

Abstract

Repeated solutions to the continuity and vorticity equations are frequently required in computations of three dimensional flows in turbomachinery passages. When the two equations are nonhomogeneous previous formulations resulted in two second order differential equations. A new approach is presented here, 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. Some applications are presented to show how this new approach can be used to save computer time in numerical flow solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA069999

Entities

People

  • A. Hamed
  • S. Abdallah

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Poisson Equation
  • Secondary Flow
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis