Traveling-wave solutions of the flow in a curved-square duct

Shinichiro Yanase; Takeshi Watanabe; Toru Hyakutake

doi:10.1063/1.3029703

Traveling-wave solutions of the flow in a curved-square duct

Shinichiro Yanase, Takeshi Watanabe, Toru Hyakutake

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Three-dimensional (3D) calculations of the flow through a curved duct of square cross section are conducted by use of the spectral method. The main concern of this paper is to clarify 3D structures of periodic solutions which have been obtained by two-dimensional (2D) calculations assuming uniformity in the main-flow direction. It is found that traveling-wave solutions are realized by 3D numerical simulations in the parameter region where periodic solutions were obtained by 2D simulations. Exact traveling-wave solutions are obtained by the iteration method from an initial guess given by the time-evolution calculations. The flow patterns of a 3D traveling wave observed in a cross section are very similar to those of 2D periodic solutions.

Original language	English
Article number	124101
Journal	Physics of Fluids
Volume	20
Issue number	12
DOIs	https://doi.org/10.1063/1.3029703
Publication status	Published - 2008

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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abstract = "Three-dimensional (3D) calculations of the flow through a curved duct of square cross section are conducted by use of the spectral method. The main concern of this paper is to clarify 3D structures of periodic solutions which have been obtained by two-dimensional (2D) calculations assuming uniformity in the main-flow direction. It is found that traveling-wave solutions are realized by 3D numerical simulations in the parameter region where periodic solutions were obtained by 2D simulations. Exact traveling-wave solutions are obtained by the iteration method from an initial guess given by the time-evolution calculations. The flow patterns of a 3D traveling wave observed in a cross section are very similar to those of 2D periodic solutions.",

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Traveling-wave solutions of the flow in a curved-square duct

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