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

28 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

Access to Document

10.1063/1.3029703

Cite this

@article{67eda5bceb334316bfaeb0829cc610a8,

title = "Traveling-wave solutions of the flow in a curved-square duct",

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.",

author = "Shinichiro Yanase and Takeshi Watanabe and Toru Hyakutake",

note = "Funding Information: We gratefully acknowledge the support for this research by the Ministry of Education, Culture, Sports, Science and Technology of Japan through the Grant-in-Aid for Scientific Research No. 16560147.",

year = "2008",

doi = "10.1063/1.3029703",

language = "English",

volume = "20",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "12",

}

TY - JOUR

T1 - Traveling-wave solutions of the flow in a curved-square duct

AU - Yanase, Shinichiro

AU - Watanabe, Takeshi

AU - Hyakutake, Toru

N1 - Funding Information: We gratefully acknowledge the support for this research by the Ministry of Education, Culture, Sports, Science and Technology of Japan through the Grant-in-Aid for Scientific Research No. 16560147.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=58249092839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58249092839&partnerID=8YFLogxK

U2 - 10.1063/1.3029703

DO - 10.1063/1.3029703

M3 - Article

AN - SCOPUS:58249092839

VL - 20

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 12

M1 - 124101

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this