非轴对称模型Hagen-Poiseuille流的不稳定性 |
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引用本文: | 王发民,简·特斯·斯图亚特. 非轴对称模型Hagen-Poiseuille流的不稳定性[J]. 应用数学和力学, 1989, 10(5): 393-402 |
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作者姓名: | 王发民 简·特斯·斯图亚特 |
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作者单位: | 1.中国科学院力学研究所; |
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摘 要: | 本文讨论流体通过圆管的运动不稳定性问题.作为流体运动所受的扰动波,我们考虑一个三维非线性模型.它的相关振幅函数满足扩散方程,当流体的雷诺数增大时,由于复杂的分子扩散和流体粘性的相互作用.该方程的扩散系数会出现负值.在"负扩散"现象出现时.在流体运动中出现的"湍流段"内部会引起能量的集中和使流体的阻尼减少.文中所得结果对说明圆管流中出现湍流段的实验现象是有价值的.
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收稿时间: | 1988-02-13 |
Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode |
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Affiliation: | 1.Institute of Mech. Academia Sinica Beijing;2.Imperial College, U. K. |
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Abstract: | An investigation is described for instability problem of flow through a pipe of circular cross section.As a disturbance motion,we consider a general non-axisymmetric mode.An associated amplitude or modulation equation has been derived for this disturbance motion.This equation belongs to a diffusion type.The coefficient of it can be negative while Reynolds number increases,because of the complex interaction between molecular diffusion and convection.The negative diffusivily,when it occurs,causes a concentration and focussing of energy within decaying slugs,acting as a role of reversing natural decays. |
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