VISCOUS FLOW PAST CIRCULAR CYLINDERS

Accurate and efficient calculations of the flow around a circular cylinder are presented for Reynolds numbers from 1 to 40 (based on the diameter). The semi-analytical method of series truncation is used to express the stream function and the vorticity in a finite Fourier series. Substitution into the Navier-Stokes equations yields a finite system of nonlinear ordinary differential equations. These are approximated by two-point boundary value methods. The resulting nonlinear difference equations are solved using Newton's method. Much attention has been given to numerical errors and errors resulting from the approximation by a finite series. The results are compared with similar calculations by Keller-Takami and Dennis-Chang. (Author Modified Abstract)

  • Supplemental Notes:
    • Also available in Computers and Fluids, V1, pp 59-71, 1973.
  • Corporate Authors:

    California Institute of Technology

    1201 East California Street
    Pasadena, CA  USA  91125
  • Authors:
    • Nieuwstadt, F
    • Keller, H B
  • Publication Date: 1972-9-1

Media Info

  • Pagination: 14 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00044707
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: AROD-762:25-M
  • Contract Numbers: DAHC04-68-C-0006
  • Files: TRIS
  • Created Date: Jul 31 1973 12:00AM