A PARAMETRIC METHOD OF INTEGRATING LAMINAR-BOUNDARY LAYER EQUATIONS.

Abstract

The article is divided into four parts: (1) The universal equation of the laminar boundary layer; (2) One-parameter solution; (3) Representation of the solution in the form of a series in powers of formparameters; (4) An example of calculating a boundary layer. Conclusion. A new method for solving the problems in the theory of the laminar boundary layer is presented. The fundamental equations of a two-dimensional isothermal laminar boundary layer are reduced to a 'universal' partial differential equation in terms of a reduced stream function containing certain boundary-layer parameters (called 'formparameters'), which express the influence of the velocity profile at the outer interface of the boundary layer on its characteristics. The numerical integration of the universal equation is carried out once and for all and is followed by a tabulation of the stream function, the skin-friction factor, and other characteristic quantities. These tables can be used to determine the required parameters for any other particular boundary-layer problem (after deriving a universal equation for it) by relatively simple calculations which do not require the use of electronic computers. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 28, 1966
Accession Number
AD0633046

Entities

People

  • Victor Klein

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Differential Equations
  • Equations
  • Friction
  • Laminar Boundary Layer
  • Layers
  • Numerical Integration
  • Partial Differential Equations
  • Skin Friction
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene