TY - JOUR

T1 - On the Bifurcation of Laminar Flows through a Curved Rectangular Tube

AU - Yanase, Shinichiro

AU - Nishiyama, Koji

PY - 1988/1/1

Y1 - 1988/1/1

N2 - Bifurcating solutions are obtained for a flow through a slightly curved tube of rectangular cross-section. An aspect ratio of cross-section, γ, is changed over 1≦γ≦5 with the Dean number fixed to be 100. If γ<3.02, there is only a two-vortex solution. If γ≧3.02, there are dual solutions one of which is a two-vortex solution, the other is a four-vortex solution. Numerical solution of the unsteady Navier-Stokes equation at γ=4.9 shows that a two-vortex solution changes toward a four-vortex solution when it is disturbed by asymmetric disturbances.

AB - Bifurcating solutions are obtained for a flow through a slightly curved tube of rectangular cross-section. An aspect ratio of cross-section, γ, is changed over 1≦γ≦5 with the Dean number fixed to be 100. If γ<3.02, there is only a two-vortex solution. If γ≧3.02, there are dual solutions one of which is a two-vortex solution, the other is a four-vortex solution. Numerical solution of the unsteady Navier-Stokes equation at γ=4.9 shows that a two-vortex solution changes toward a four-vortex solution when it is disturbed by asymmetric disturbances.

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U2 - 10.1143/JPSJ.57.3790

DO - 10.1143/JPSJ.57.3790

M3 - Article

AN - SCOPUS:0010871799

VL - 57

SP - 3790

EP - 3795

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -