On the Bifurcation of Laminar Flows through a Curved Rectangular Tube
1988 年 57 巻 11 号 p. 3790-3795
詳細
1988 年 57 巻 11 号 p. 3790-3795
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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