The nonaxisymmetric instability of the wide-gap spherical Couette flow

Keisuke Araki, Jiro Mizushima, Shinichiro Yanase

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


The nonaxisymmetric linear stability of spherical Couette flow is investigated numerically when the ratio of gap width to inner sphere radius (R2 - R1)/R1 = 0.5. The basic flow becomes unstable at Rec = 1245 and the associated azimuthal wave number is nc = 5, which agrees remarkably well with the experimental results by Egbers and Rath [Acta Mech. 81, 3 (1990)]. The marginal mode is oscillatory and has a distinctive wavy structure around the equator and spirals extended in each hemisphere. Sufficiently large spatial resolution is found to be required in order to avoid serious underestimation of the critical Reynolds number.

Original languageEnglish
Pages (from-to)1197-1199
Number of pages3
JournalPhysics of Fluids
Issue number4
Publication statusPublished - Apr 1997
Externally publishedYes

ASJC Scopus subject areas

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


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