Dual solutions of the flow through a curved tube

Shinichiro Yanase, Nozomi Goto, Kyoji Yamamoto

Research output: Contribution to journalArticlepeer-review

89 Citations (Scopus)


Dual solutions, i.e. two-vortex and four-vortex solutions, and their stability of flow through a slightly curved circular tube are numerically investigated by the spectral method in the range 96 ≤ Dn≤ 10000, where Dn is the Dean number. It is found that the two-vortex solution is stable in response to any small disturbances, while the four-vortex solution is unstable to asymmetric disturbances. Time evolution of the unsteady four-vortex flow is also studied by a numerical simulation of the Navier-Stokes equation when Dn = 1000. The four-vortex flow eventually turns into a two-vortex flow.

Original languageEnglish
Pages (from-to)191-201
Number of pages11
JournalFluid Dynamics Research
Issue number3
Publication statusPublished - Dec 1989

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes


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