Accession Number : AD0771613

Title :   Improved Solutions to the Falkner-Skan Boundary Layer Equation.

Descriptive Note : Final rept. Dec 71-Aug 73,

Corporate Author : FRANK J SEILER RESEARCH LAB UNITED STATES AIR FORCE ACADEMY COLO

Personal Author(s) : Forbrich,Carl A. , Jr

Report Date : NOV 1973

Pagination or Media Count : 43

Abstract : In certain cases, the equation for the velocity profile in the boundary layer can be approximated by U = c(x sup m), and the Prandtl boundary layer equations reduce to the ordinary differential equation F triple prime = -F(F double prime) + beta((F' squared)-1), which is referred to as the Falkner-Skan boundary layer equation. Solutions for F, F', F double prime and F triple prime for values of beta are presented here in the form of seven place tables. In addition delta, theta and H, which are useful in transforming the solutions from non-dimensional to dimensional form, are included so that the tables will be easy to use. The Falkner-Skan equation was solved on the Burroughs B-6700 digital computer using an extremely accurate state variable formulation of the problem. In this approach, the third order ordinary differential equation is reduced to a system of first-order ordinary differential equations which are easily solved. (Author)

Descriptors :   *Boundary layer flow, *Partial differential equations, Curve fitting, Numerical integration, Tables(Data)

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE