Dual solutions of the flow through a curved tube

Shinichiro Yanase; Nozomi Goto; Kyoji Yamamoto

doi:10.1016/0169-5983(89)90021-X

Dual solutions of the flow through a curved tube

Shinichiro Yanase, Nozomi Goto, Kyoji Yamamoto

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

89 Citations (Scopus)

Abstract

Dual solutions, i.e. two-vortex and four-vortex solutions, and their stability of flow through a slightly curved circular tube are numerically investigated by the spectral method in the range 96 ≤ D_n≤ 10000, where D_n is the Dean number. It is found that the two-vortex solution is stable in response to any small disturbances, while the four-vortex solution is unstable to asymmetric disturbances. Time evolution of the unsteady four-vortex flow is also studied by a numerical simulation of the Navier-Stokes equation when D_n = 1000. The four-vortex flow eventually turns into a two-vortex flow.

Original language	English
Pages (from-to)	191-201
Number of pages	11
Journal	Fluid Dynamics Research
Volume	5
Issue number	3
DOIs	https://doi.org/10.1016/0169-5983(89)90021-X
Publication status	Published - Dec 1989

ASJC Scopus subject areas

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

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author = "Shinichiro Yanase and Nozomi Goto and Kyoji Yamamoto",

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T1 - Dual solutions of the flow through a curved tube

AU - Yanase, Shinichiro

AU - Goto, Nozomi

AU - Yamamoto, Kyoji

PY - 1989/12

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N2 - Dual solutions, i.e. two-vortex and four-vortex solutions, and their stability of flow through a slightly curved circular tube are numerically investigated by the spectral method in the range 96 ≤ Dn≤ 10000, where Dn is the Dean number. It is found that the two-vortex solution is stable in response to any small disturbances, while the four-vortex solution is unstable to asymmetric disturbances. Time evolution of the unsteady four-vortex flow is also studied by a numerical simulation of the Navier-Stokes equation when Dn = 1000. The four-vortex flow eventually turns into a two-vortex flow.

AB - Dual solutions, i.e. two-vortex and four-vortex solutions, and their stability of flow through a slightly curved circular tube are numerically investigated by the spectral method in the range 96 ≤ Dn≤ 10000, where Dn is the Dean number. It is found that the two-vortex solution is stable in response to any small disturbances, while the four-vortex solution is unstable to asymmetric disturbances. Time evolution of the unsteady four-vortex flow is also studied by a numerical simulation of the Navier-Stokes equation when Dn = 1000. The four-vortex flow eventually turns into a two-vortex flow.

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Dual solutions of the flow through a curved tube

Abstract

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