Abstract
The Taylor-Dean flow through a curved duct of square cross section, in which walls of the duct except the outer wall rotate around the center of curvature and an azimuthal pressure gradient is imposed, is investigated numerically using the spectral method. The calculation covers a wide range of pressure gradient and duct rotational speed. The steady flow patterns of the induced secondary flow and flux through the duct are obtained. It is found that the secondary flow consists of two vortices in a cross section when the rotation of the duct is large and opposite to the negative pressure gradient. When the rotation is in the same direction as the negative pressure gradient, the secondary flow shows more complicated behavior. There appear four-vortex, eight-vortex or even non-symmetric secondary flow patterns with respect to the center line of the cross section. An analysis of linear stability is also carried out.
| Original language | English |
|---|---|
| Pages (from-to) | 67-82 |
| Number of pages | 16 |
| Journal | Fluid Dynamics Research |
| Volume | 35 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Aug 2004 |
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Keywords
- Curved duct
- Rotating duct
- Secondary flow
- Taylor-Dean flow
ASJC Scopus subject areas
- Mechanical Engineering
- Statistical and Nonlinear Physics
Cite this
Taylor-Dean flow through a curved duct of square cross section. / Yamamoto, Kyoji; Wu, Xiaoyun; Hyakutake, Toru; Yanase, Shinichiro.
In: Fluid Dynamics Research, Vol. 35, No. 2, 08.2004, p. 67-82.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Taylor-Dean flow through a curved duct of square cross section
AU - Yamamoto, Kyoji
AU - Wu, Xiaoyun
AU - Hyakutake, Toru
AU - Yanase, Shinichiro
PY - 2004/8
Y1 - 2004/8
N2 - The Taylor-Dean flow through a curved duct of square cross section, in which walls of the duct except the outer wall rotate around the center of curvature and an azimuthal pressure gradient is imposed, is investigated numerically using the spectral method. The calculation covers a wide range of pressure gradient and duct rotational speed. The steady flow patterns of the induced secondary flow and flux through the duct are obtained. It is found that the secondary flow consists of two vortices in a cross section when the rotation of the duct is large and opposite to the negative pressure gradient. When the rotation is in the same direction as the negative pressure gradient, the secondary flow shows more complicated behavior. There appear four-vortex, eight-vortex or even non-symmetric secondary flow patterns with respect to the center line of the cross section. An analysis of linear stability is also carried out.
AB - The Taylor-Dean flow through a curved duct of square cross section, in which walls of the duct except the outer wall rotate around the center of curvature and an azimuthal pressure gradient is imposed, is investigated numerically using the spectral method. The calculation covers a wide range of pressure gradient and duct rotational speed. The steady flow patterns of the induced secondary flow and flux through the duct are obtained. It is found that the secondary flow consists of two vortices in a cross section when the rotation of the duct is large and opposite to the negative pressure gradient. When the rotation is in the same direction as the negative pressure gradient, the secondary flow shows more complicated behavior. There appear four-vortex, eight-vortex or even non-symmetric secondary flow patterns with respect to the center line of the cross section. An analysis of linear stability is also carried out.
KW - Curved duct
KW - Rotating duct
KW - Secondary flow
KW - Taylor-Dean flow
UR - http://www.scopus.com/inward/record.url?scp=3242669564&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3242669564&partnerID=8YFLogxK
U2 - 10.1016/j.fluiddyn.2004.04.003
DO - 10.1016/j.fluiddyn.2004.04.003
M3 - Article
VL - 35
SP - 67
EP - 82
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
SN - 0169-5983
IS - 2
ER -