AN APPROXIMATE SOLUTION OF VON MISES' BOUNDARY LAYER EQUATION,

Abstract

A method to compute the shear stress in a laminar boundary layer is presented. The Von Mises' equation is linearized by the substitution of the non linear term with a suitable function. The resulting equation is the well known heat conduction equation, which can be solved in close form to give the shear stress. The application of the method is limited to the case of zero pressure gradient. The corresponding linearizing function is determined by comparison with the exact Blasius solution. The method is then applied to the computation of the shear stress downstream of three different velocity profiles and the results are compared to the solutions obtained by a numerical method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0653586

Entities

People

  • Adolfo Reggiori

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Computations
  • Equations
  • Laminar Boundary Layer
  • Layers
  • Pressure Gradients
  • Shear Stresses
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.