Accession Number:

AD0773191

Title:

A Special Galerkin Method for a Class of Steady Two-Dimensional Incompressible Laminar Boundary-Layer Flows.

Descriptive Note:

Interim rept. Mar 72-Jun 73,

Corporate Author:

COLORADO STATE UNIV FORT COLLINS DEPT OF MECHANICAL ENGINEERING

Personal Author(s):

Report Date:

1973-11-01

Pagination or Media Count:

68.0

Abstract:

A class of steady two-dimensional incompressible laminar boundary layer flows is solved by the proposed Galerkin method in which the approximating functions are closely related to the eigenfunctions of the governing equation. The method has been tested on two typical boundary layer flows of different nature, a linearly retarded flow and a flow past a circular cylinder. The analysis of the method and the numerical experiments on the two examples have indicated that highly accurate results for the entire flow region can be obtained only if the assumed finite series solution in the Galerkins procedure satisfies closely the compatibility conditions of the problem. It also suggests that the set of approximating functions found is indeed general enough to permit solutions of all conceivable problems governed by the system of boundary layer equations considered. It is recommended that the method be investigated further by taking an assumed series solution which would satisfy more closely the compatibility conditions of the problems. Author

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE