Integral Representation of Low-Reynolds-Number Hydrodynamics (Study of Stokes' Paradox)

• UEDA Yoshiaki

  Graduate School of Engineering, Hokkaido University

• IGUCHI Manabu

  Graduate School of Engineering, Hokkaido University

Abstract

The classical Stokes' paradox for the steady creeping flow past a circular cylinder is theoretically investigated on the basis of the Fredholm integral equations in terms of the vorticity and the stream function. In order to circumvent the difficulty associated with the paradox, this study employs extended Stokes solution that includes the wake behavior behind the cylinder. Then, the present approach successfully determines the indeterminate coefficient caused by Stokes' paradox, and the derived Stokes solution is found to converge to the uniform flow as r → ∞, i. e., Stokes' paradox is resolved.

Journal

• Journal of the Japanese Society for Experimental Mechanics

  Journal of the Japanese Society for Experimental Mechanics 12 (Special_Issue), s34-s39, 2012

  The Japanese Society for Experimental Mechanics

Keywords

• Low-Reynolds-Number
• Stokes' Paradox
• Oseen Approximation
• Fredholm Integral Equation
• Circular Cylinder

Details

• CRID: 1390282680166669696
• NII Article ID: 10031047666
• NII Book ID: AA11822914
• DOI: 10.11395/jjsem.12.s34
• ISSN: 18844219
• ISSN: 13464930
• NDL BIB ID: 023982093
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I023982093
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed