ON THE SOLUTION OF INITIAL-VALUED BOUNDARY LAYER FLOWS,

Abstract

This report is concerned with the exact solution of the boundary layer equations, particularly when the initial conditions are not of a simple form. A comparatively new procedure is applied to the forementioned problem, and the preliminary results of the investigation are reported here. The theory is restricted to flows which are described by two coordinates. By replacing the normal partial derivatives by finite differences the boundary layer equations are reduced to an initial value system of coupled first order ordinary differential equations. Since these equations are classified as 'stiff', their solution requires special consideration. As an illustration, the velocity field of a two-dimensional wake is calculated, and the results are shown to be in good agreement with the solution obtained by full finite difference schemes. An improved theory is suggested and possible future studies are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0619098

Entities

People

  • Martin H. Steiger
  • Paavo Sepri

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Differential Equations
  • Equations
  • Flow
  • Layers
  • Mathematics
  • Stratified Fluids
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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