Stability of boundary layer on a rotating sphere in still fluid

Hideo Taniguchi, Ryoji Kobayashi, Yu Fukunishi

Research output: Contribution to journalArticlepeer-review


Theoretical study of three-dimensional boundary layer transition on a sphere rotating in still fluid has been carried out by a linear stability analysis. It was determined from experimental results that the relative location of spiral vortices which appear in the transition region is fixed against the rotating sphere surface when the rotating effect is large. However as the rotating effect decreases, these vortices begin to move. So far, this phenomenon has not been explained theoretically. In this study, the boundary layer instability and the characteristics of spiral vortices are theoretically investigated by calculating the behavior of the small disturbances and the critical Reynolds number of the boundary layer on a rotating sphere using the linear stability theory.

Original languageEnglish
Pages (from-to)1895-1901
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Issue number610
Publication statusPublished - 1997

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering

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