Effect of curvature on dual solutions of flow through a curved circular tube

S. Yanase, K. Yamamoto, T. Yoshida

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Dual solutions, i.e., two-vortex and four-vortex solutions, of the flow through a curved circular tube are numerically obtained by the spectral method for 0 ≤ δ ≤ 0.8 and 500 ≤ Dn ≤ 10000, where δ is the non-dimensional curvature of the tube and Dn the Dean number. It is found that the critical Dean number above which the four-vortex solution exists takes the lowest value 956 at δ = 0 and increases with δ. In terms of the Reynolds number of the flow, however, the critical Reynolds number decreases from infinity as δ increases from zero, takes the minimum value of about 250 at δ ≈ 0.52, and then increases again.

Original languageEnglish
Pages (from-to)217-228
Number of pages12
JournalFluid Dynamics Research
Volume13
Issue number3-4
DOIs
Publication statusPublished - Mar 1994

ASJC Scopus subject areas

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

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