Accession Number : AD0633046

Title :   A PARAMETRIC METHOD OF INTEGRATING LAMINAR-BOUNDARY LAYER EQUATIONS.

Descriptive Note : ATD work assignment no. 79,

Corporate Author : AEROSPACE TECHNOLOGY DIV LIBRARY OF CONGRESS WASHINGTON D C

Personal Author(s) : Klein,Victor

Report Date : 28 MAR 1966

Pagination or Media Count : 18

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)

Descriptors :   (*LAMINAR BOUNDARY LAYER, EQUATIONS), (*NUMERICAL METHODS AND PROCEDURES, *NUMERICAL INTEGRATION), PARTIAL DIFFERENTIAL EQUATIONS, USSR

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE