On the Bifurcation of Laminar Flows through a Curved Rectangular Tube
On the Bifurcation of Laminar Flows through a Curved Rectangular Tube
复制标题
弯曲矩形管内层流的分岔
DOI：
10.1143/jpsj.57.3790
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发表时间：
1988
影响因子：
1.7
通讯作者：
Koji Nishiyama
中科院分区：
文献类型：
--
作者：
S. Yanase;Koji Nishiyama
得到了流过矩形截面微弯曲管的分岔解。横断面的纵横比γ在1≦γ≦5范围内变化，迪安数固定为100。当γ<3.02时，只有一个双涡解。当γ≧3.02时，存在双涡解和四涡解。非定常Navier-Stokes方程在γ=4.9处的数值解表明，当不对称扰动扰动时，双涡解向四涡解转变。
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.