Improved Solutions to the Falkner-Skan Boundary Layer Equation.

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Abstract:

In certain cases, the equation for the velocity profile in the boundary layer can be approximated by U cx sup m, and the Prandtl boundary layer equations reduce to the ordinary differential equation F triple prime -FF double prime betaF 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

Author(s):
Forbrich, Carl A., Jr
Author Organization(s):
FRANK J SEILER RESEARCH LAB UNITED STATES AIR FORCE ACADEMY COLO
Descriptive Note:
Final rept. Dec 71-Aug 73,
Pagination:
0043

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
SRL-TR-73-0016
Task Number(s):
790501
Project Number(s):
AF-7905
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*Boundary layer flow, *Partial differential equations, Curve fitting, Numerical integration, Tables(Data)
Field(s)/Group(s):
Fluid Mechanics
Keyword(s):
*Falkner Skan equation
Report Date:
1973 Nov 01