Design of Two-Dimensional Channels With Prescribed Velocity Distributions Along the Channel Walls. 2. Solution by Green's Function

Abstract

Methods of solution by Green's function are developed for the design two-dimensional unbranched channels with prescribed velocities as a function of arc length along the channel walls. The methods apply to incompressible and linearized compressible, nonviscous irrotational flow. One numerical example is presented for an accelerating elbow with linearized compressible flow. The elbow shape obtained from the solution by Green's function is the same as that obtained from a solution by relaxation methods for the same prescribed conditions. The time required for the calculations is considerably less for solutions by Green's function.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1952
Accession Number
ADA380409

Entities

People

  • John D. Stanitz

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Cartesian Coordinates
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Flow
  • Flow Fields
  • Fluid Flow
  • Incompressible Flow
  • Infinite Series
  • Integral Equations
  • Numerical Integration
  • Specific Heat
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.