Traveling-wave solutions of the flow in a curved-square duct

Shinichiro Yanase, Takeshi Watanabe, Toru Hyakutake

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Three-dimensional (3D) calculations of the flow through a curved duct of square cross section are conducted by use of the spectral method. The main concern of this paper is to clarify 3D structures of periodic solutions which have been obtained by two-dimensional (2D) calculations assuming uniformity in the main-flow direction. It is found that traveling-wave solutions are realized by 3D numerical simulations in the parameter region where periodic solutions were obtained by 2D simulations. Exact traveling-wave solutions are obtained by the iteration method from an initial guess given by the time-evolution calculations. The flow patterns of a 3D traveling wave observed in a cross section are very similar to those of 2D periodic solutions.

Original languageEnglish
Article number124101
JournalPhysics of Fluids
Issue number12
Publication statusPublished - 2008

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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