Multiple laminar flows through curved pipes

Multiple laminar flows through curved pipes
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通过弯曲管道的多重层流

DOI:
10.1016/0168-9274(86)90032-2
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发表时间:
1986
影响因子:
2.8
通讯作者:
H. B. Keller
H. B. Keller
中科院分区:
数学2区
文献类型:
--
作者:
Zhongxuan Yang;H. B. Keller

文献摘要

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本文数值研究了定常粘性绕流螺旋圆管的Dean数和螺旋比的变化范围。我们发现,解决方案的家庭,参数化的迪恩数,有许多折叠或极限点。我们发现了解的四个折叠和五个分支,并推测对于D的某个固定值,这个解族可以存在无穷多个解。要证明我们的猜想并找到新的解分支的形成规律,需要更高的分辨率和更高的精度。
The Dean problem of steady viscous flow through a coiled circular pipe is studied numerically for a large range of Dean number and for several coiling ratios. We find that the solution family, as parameterized by Dean number, has numerous folds or limit points. Four folds and hence five branches of solutions are found. We speculate that infinitely many solutions can exist in this family for some fixed value(s) ofD. More resolution and higher accuracy would be required to justify our conjecture and to find the rule of formation of new solution branches.