AN ANALYSIS OF THE FLOW NEAR THE TRAILING EDGE OF A FLAT PLATE USING SERIES TRUNCATION.

Abstract

The trailing edge region of a finite flat plate in laminar, incompressible flow is examined for the limit of high Reynolds numbers. It is shown that the trailing edge region is an elliptic region and therefore a correct mathematical description must be based upon the full Navier-Stokes equations. The 'Method of Series Truncation' is used to reduce the full Navier-Stokes equations, written in parabolic coordinates, to an infinite set of non-linear, coupled, ordinary differential equations. Two sets of asymptotic boundary conditions, called simplified and modified boundary conditions, are determined by matching the Navier-Stokes region downstream with Goldstein's near wake solution. By numerical integration the solutions for the first and second truncation are obtained for both sets of asymptotic boundary conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0683025

Entities

People

  • Frank E. Talke

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Flow
  • Incompressible Flow
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Numerical Integration
  • Partial Differential Equations
  • Reynolds Number
  • Trailing Edges
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.