Accession Number : AD0656693

Title :   AN APPROXIMATE SOLUTION OF THE BOUNDARY LAYER EQUATIONS USING THE METHOD OF PARAMETRIC DIFFERENTIATION,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID DYNAMICS RESEARCH LAB

Personal Author(s) : Ives,David C.

Report Date : JUN 1967

Pagination or Media Count : 139

Abstract : A study was made of the boundary layer problem, using the method of parametric differentiation. The boundary layer flow is assumed to be laminar, steady, two-dimensional, and incompressible, with no heat transfer, suction or blowing. Two methods of parametric differentiation were utilized: the first varied the outer inviscid flow; while the second varied the velocity slip at the wall. The method of parametric differentiation is well suited to solve the non-linear boundary layer equations. A related linear partial differential equation, coupled with a first order ordinary non-linear differential equation, is produced by the application of this method. A formal higher approximation procedure was developed to accurately solve the ensuing linear partial differential equation, replacing the 'local solution' approximation used heretofore. This higher approximation procedure is couched in terms which allow the application of asymptotic methods. The result of this analysis is an integral equation describing the rate of change of the velocity field with respect to a parameter. (Author)

Descriptors :   (*LAMINAR BOUNDARY LAYER, DIFFERENTIAL EQUATIONS), APPROXIMATION(MATHEMATICS), TWO DIMENSIONAL FLOW, INCOMPRESSIBLE FLOW, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, SHEAR STRESSES, WALLS

Subject Categories : Aerodynamics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE