Numerical Study of Steady Flow in a Two-Dimensional Rectangular Channel with an Asymmetric Velocity Input Profile.

Abstract

The two-dimensional, viscous, incompressible, steady flow in a semi-infinite rectangular channel is investigated numerically. A given jet with asymmetrical velocity profile is assumed at the inlet and fully developed flow is assumed at an infinite distance downstream. Using the split Navier-Stokes equation, with stream function and vorticity as dependent variables, central differences are used to set up difference equations. These are relaxed in the Gauss-Seidel mode with the aid of two relaxation factors for each equation and a maximum-number-of-iterations parameter for each equation. The optimum convergence rate is investigated empirically as a function of these six parameters. Convergence is obtained in this way up to Reynolds number 200 and optimum sets of values are given for (R sub e) = 1, 10, 50, and 200.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA010355

Entities

People

  • Paul G. Hershall

Organizations

  • Harry Diamond Laboratories

Tags

DTIC Thesaurus Topics

  • Convergence
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Reynolds Number
  • Steady Flow
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra
  • Regression Analysis.