Flow Through a Rotating Curved Duct with Square Cross-Section

Kyoji Yamamoto, Shinichiro Yanase, Md Mahmud Alam

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The incompressible viscous steady flow through a curved duct of square cross-section driven by a pressure gradient along the duct is considered. The rotation of the duct about the centre of the curvature is imposed to investigate the combined effects of rotation (Coriolis force) and curvature (centrifugal force) on the flow. The numerical calculations covering a wide range of rotational speed are carried out for the Dean numbers, Dn, of 400, 642 and 800. When the rotation is in the same as the main flow direction, multiple solutions with 2-cell and 4-cell secondary flow patterns are obtained in case of Dn = 400 and 642, while only 4-cell solution is obtained in case of Dn = 800. When the rotation is opposite to the main flow direction, the 6-cell secondary flow pattern is obtained for Dn = 400, 642 and Dn = 800 with increasing the rotational speed gradually. For all cases, the total flux through the duct has a sharp peak, where the 6-cell pattern appears.

Original languageEnglish
Pages (from-to)1173-1184
Number of pages12
Journaljournal of the physical society of japan
Issue number4
Publication statusPublished - Apr 1999


  • Curved duct flow
  • Rotation
  • Square cross-section
  • Taylor number

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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