VISCOUS FLOW ALONG A CORNER. PART II. NUMERICAL SOLUTION OF CORNER LAYER EQUATIONS,

Abstract

Solutions for the viscous incompressible flow along a right-angle corner were found by a method of successive iteration. The algebraic nature of the asymptotic flow field has been utilized to provide boundary conditions for the numerical analysis. One arbitrary constant appearing in the asymptotic series has been determined by the elimination of interior mass sources that appear as a result of any inaccuracy in the value of this constant, allowing additional mass to cross the outer boundary. The numerical solution shows a swirling flow in the corner but a closed vortical pattern is not established. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0695829

Entities

People

  • Bernard Grossman
  • Stanley G. Rubin

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Eddies (Fluid Mechanics)
  • Elimination
  • Equations
  • Flow
  • Flow Fields
  • Fluid Flow
  • Incompressible Flow
  • Iterations
  • Mathematical Analysis
  • Numerical Analysis
  • Right Angles
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.