Axially invariant laminar flow in a helical duct of square cross-section

Kyoji Yamamoto, Shinichiro Yanase, Md Mahmud Alam

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The effects of torsion and curvature on the flow in a helical pipe of square cross section are studied by introducing a non-orthogonal helical coordinate system and series expansion of solution for small curvature. The numerical calculations are obtained by the iterative method. The calculations are carried out for 0 ≤ ε ≤ 0.2, 0 ≤ λ0 ≤ 3.16 and 500 ≤ Dn < 1500, where ε is the dimensionless curvature, λ0 is the ratio of torsion to cubic square root of curvature and Dn is the Dean number.

Original languageEnglish
Pages (from-to)271-285
Number of pages15
JournalIndian Journal of Pure and Applied Mathematics
Issue number3
Publication statusPublished - Mar 1 1999


  • Curved tube
  • Helical tube
  • Non-orthogonal coordinate system
  • Square cross-section
  • Torsion éffect

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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