Laminar flows through a curved rectangular duct over a wide range of the aspect ratio

Shinichiro Yanase, Yoshito Kaga, Ryuji Daikai

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

The laminar flow in a curved rectangular duct for a range of the aspect ratio 1 ≤ l ≤ 12 is investigated by use of the spectral method. The steady solutions are obtained using the Newton-Raphson method with the symmetry condition. As a result, five branches of steady solutions are found. Linear stability characteristics are also investigated for all the steady solutions. It is found that one steady solution is linearly stable for most of l, but two linearly stable steady solutions exist for a region of small l and there are several intervals of l where there is no linearly stable steady solution. We performed time-evolution calculations with and without the symmetry condition, and observed periodic oscillations with the symmetry condition and aperiodic time evolutions without the symmetric condition. Finally, the present results numerically suggest that what determines which solution is realizable may be the maximum of the momentum transfer in the cross section.

Original languageEnglish
Pages (from-to)151-183
Number of pages33
JournalFluid Dynamics Research
Volume31
Issue number3
DOIs
Publication statusPublished - Sep 2002

Fingerprint

Momentum transfer
Newton-Raphson method
laminar flow
Laminar flow
ducts
Ducts
aspect ratio
Aspect ratio
symmetry
spectral methods
momentum transfer
intervals
oscillations
cross sections

Keywords

  • Bifurcation analysis
  • Curved rectangular duct
  • Linear stability
  • Spectral method

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

Laminar flows through a curved rectangular duct over a wide range of the aspect ratio. / Yanase, Shinichiro; Kaga, Yoshito; Daikai, Ryuji.

In: Fluid Dynamics Research, Vol. 31, No. 3, 09.2002, p. 151-183.

Research output: Contribution to journalArticle

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