Improved Solutions to the Falkner-Skan Boundary Layer Equation.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1973
- Accession Number
- AD0771613
Entities
People
- Carl A. Forbrich Jr
Organizations
- United States Air Force Academy