Stability of the flow in a helical tube

Kyoji Yamamoto, Shinichiro Yanase, Rongzhi Jiang

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


The flow in a helical tube of small curvature and its linear stability are theoretically investigated for a wide range of the torsion parameter β0, which is defined as β0 = λ/√2δ with the dimensionless torsion λ and curvature δ. It is shown that the torsion has a destabilizing effect on the flow. The critical Dean number at the onset of unstable flow first decreases as β0 increases, reaches a minimum at β0 ≈ 1.4, and then increases again. The minimum Dean number is about 600. The stability characteristics obtained are favorably compared with those in the previous experiment by Yamamoto et al., Fluid Dyn. Res. 16, 1995.

Original languageEnglish
Pages (from-to)153-170
Number of pages18
JournalFluid Dynamics Research
Issue number3
Publication statusPublished - Mar 1998


  • Curved tube
  • Helical tube
  • Internal flow
  • Linear stability
  • Torsion effect

ASJC Scopus subject areas

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


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