A SURVEY OF ASYMPTOTIC SERIES SOLUTIONS TO THE BOUNDARY LAYER EQUATIONS.

Abstract

The paper presents a summary of the asymptotic series method for solving approximately the boundary layer equations. The principles and restrictions of the method are discussed in detail, together with a brief survey of the previous papers that have utilized this method. The present discussion indicates the types of boundary layer problems that are susceptible to this treatment, and the reasons for these limitations. The mathematical techniques upon which these analyses rely, such as the method of steepest descent, and the Euler Transformation, are treated in detail and are related to the aforementioned limitations. Also the use of asymptotic series together with numerical computer calculations is discussed briefly, indicating possible lines of advancement. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1965
Accession Number
AD0628287

Entities

People

  • Philip S. Kirk
  • Ting Y. Li

Organizations

  • University of Cincinnati

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Computers
  • Equations
  • Layers
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Systems Analysis and Design