Accession Number:

AD0726447

Title:

The Flow about a Circular Cylinder at Low Reynolds Numbers Using the Method of Series Truncation with a Novel Coordinate System.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES

Personal Author(s):

• Berger,S. A.
• Cheung,Y-K
• Raghuraman,P.

Report Date:

1971-04-01

Pagination or Media Count:

32.0

Abstract:

Arguments are presented suggesting that choosing as one of the coordinates, the parabolas along which vorticity decay algebraically far from any finite, two-dimensional body, one may anticipate better results in applying the method of series truncation to flow about such a body. As a test, the steady, incompressible, low Reynolds flow about a circular cylinder is analyzed starting with the Navier-Stokes equations. The results obtained for the first truncation are closer to the exact Oseen solution than first and second truncations obtained using the more usual polar coordinates. Author

Descriptors:

• (*CYLINDRICAL BODIES
• FLOW FIELDS)
• (*FLUID FLOW
• MATHEMATICAL ANALYSIS)
• REYNOLDS NUMBER
• SERIES(MATHEMATICS)
• NAVIER STOKES EQUATIONS
• VORTICES
• INCOMPRESSIBLE FLOW
• APPROXIMATION(MATHEMATICS)

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE