Accession Number : AD0604430

Title :   LINEARIZED APPROXIMATIONS TO THE BOUNDARY LAYER EQUATIONS,

Corporate Author : GENERAL APPLIED SCIENCE LABS INC WESTBURY N Y

Personal Author(s) : Schetz,Joseph A. ; Jannone,Joseph

Report Date : JUN 1964

Pagination or Media Count : 74

Abstract : The general subject of linearized approximations to the boundary layer equations as a source of approximate solutions for viscous flow problems is considered from a unified viewpoint. The various methods based upon this concept which have been proposed in the literature are reviewed and applied to two specific non-similar flow problems in order to affect a comparison of quantitative results. Within this framework some new work is presented. Linearization in the von Mises plane is considered in some detail, and typical results are compared with those obtained by the conventional physical plane linearization techniques. In this regard, the use of the total pressure rather than the velocity as the dependent variable is shown to have important advantages, both conceptual and quantitative, even for constant pressure flow problems when subjected to a linearized treatment. Finally, specific recommendations are made as to the approach best applied to a specific type of physical problem. (Author)

Descriptors :   (*BOUNDARY LAYER, EQUATIONS), (*FLUID FLOW, THEORY), VISCOSITY, DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, TRANSFORMATIONS (MATHEMATICS), FUNCTIONS(MATHEMATICS), INTEGRAL EQUATIONS, VELOCITY, PRESSURE

Distribution Statement : APPROVED FOR PUBLIC RELEASE