Linear stability of plane creeping Couette flow for Burgers fluid
Linear stability of plane creeping Couette flow for Burgers fluid
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DOI：
10.1007/s10409-013-0007-4
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发表时间：
2013-02
影响因子：
3.5
通讯作者：
K. Hu;Jie Peng;K. Zhu
中科院分区：
文献类型：
--
作者：
K. Hu;Jie Peng;K. Zhu
众所周知，UCM和Oldroy-B流体的平面蠕变Couette流是线性稳定的。然而，对于Burges流体，包括UCM和Oldroyd-B流体作为特殊情况，在目前的工作中检测到不稳定模式。研究了中性波的波速、关键参数和摄动模式。能量分析表明，波塞维尔流和库埃特流的摄动能量维持是完全不同的。在低雷诺数极限下，得到了简化微扰方程的解析解。揭示了Burgers流体与Oldroyd-B流体的本质区别在于中性模态只存在于前者。
It is well known that plane creeping Couette flow of UCM and Oldroy-B fluids are linearly stable. However, for Burges fluid, which includes UCM and Oldroyd-B fluids as special cases, unstable modes are detected in the present work. The wave speed, critical parameters and perturbation mode are studied for neutral waves. Energy analysis shows that the sustaining of perturbation energy in Poiseuille flow and Couette flow is completely different. At low Reynolds number limit, analytical solutions are obtained for simplified perturbation equations. The essential difference between Burgers fluid and Oldroyd-B fluid is revealed to be the fact that neutral mode exists only in the former.