THE APPROXIMATE INTEGRATION OF THE DIFFERENTIAL EQUATION FOR THE LAMINAR BOUNDARY LAYER

Abstract

One of the more frequently quoted papers in fluid dynamics is the article by Karl Pohlhausen, 'Zur naherungsweisen Integration der Differentialgleichungen der laminaren Grenzschicht,' which appeared on pages 252-268 of Volume I of the Zeitschrift fur angewandte Mathematik und Mechanik. Consequently, it seems appropriate to make an English translation of the original German paper widely available. While the approximate integration technique which the article outlines has been superseded in large measure by substantial improvements, the kernel of all useful methods is given in the original paper. Moreover, many other important results of permanent value to fluid dynamics are presented, e.g., a mathematical derivation of Karman's momentum equation from the boundary layer equation and the mathematical description in finite closed form of the steady two dimensional laminar flow in a converging channel according to boundary layer theory.

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Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1965
Accession Number
AD0645784

Entities

People

  • Karl Pohlhausen

Organizations

  • University of Florida

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Hydraulics
  • Hydrodynamics
  • Laminar Boundary Layer
  • Laminar Flow
  • Pressure Distribution
  • Pressure Gradients

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.