A NEW SOLUTION OF THE BOUNDARY LAYER EQUATION AND ITS APPLICATION

Abstract

Solutions of the boundary layer equation for an unsteady flow have previously been obtained for only a few boundary conditions such as those which exist in suddenly accelerated or uniformly accelerating flows. In the paper a general solution using the method of successive approximations for an arbitrarily accelerating flow is presented. The solution, which is expressed in an integral form including the acceleration as a chosen function of time, is valid for both two-dimensional and axially symmetrical flows. An example is presented in which the variation of velocity outside of the boundary layer is a fourth degree polynomial in time multiplied by a function depending on shape of object.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0660339

Entities

People

  • Fuat Odar

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Cold Regions
  • Computational Science
  • Computer Programs
  • Differential Equations
  • Digital Computers
  • Engineering
  • Equations
  • Flow
  • Fluid Flow
  • Mathematical Analysis
  • Navier Stokes Equations
  • Shear Stresses
  • Skin Friction
  • Two Dimensional
  • Unsteady Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.