Bifurcation and multiple states in plane Couette flow with spanwise rotation

Xiang I.A. Yang, Zhenhua Xia

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We present a derivation that begins with the Navier-Stokes equation and ends with a prediction of multiple statistically stable states identical to those observed in a spanwise rotating plane Couette flow. This derivation is able to explain the presence of multiple states in fully developed turbulence and the selection of one state over another by differently sized computational domains and different initial conditions. According to the present derivation, two and only two statistically stable states are possible in an infinitely large plane Couette flow with spanwise rotation, and that multiple states are not possible at very slow or very rapid rotation speeds. We also show the existence of limit-cycle-like behaviours near statistically stable states.

Original languageEnglish (US)
JournalJournal of Fluid Mechanics
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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