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

抄録

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.

収録刊行物

• 実験力学

  実験力学 12 (Special_Issue), s34-s39, 2012

  日本実験力学会

キーワード

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

詳細情報

• CRID: 1390282680166669696
• NII論文ID: 10031047666
• NII書誌ID: AA11822914
• DOI: 10.11395/jjsem.12.s34
• ISSN: 18844219
• ISSN: 13464930
• NDL書誌ID: 023982093
• Web Site: http://id.ndl.go.jp/bib/023982093
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I023982093
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可