Subcritical finite-amplitude solutions for plane Couette flow of viscoelastic fluids

被引:82
作者
Morozov, AN [1 ]
van Saarloos, W [1 ]
机构
[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands
关键词
D O I
10.1103/PhysRevLett.95.024501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Plane Couette flow of viscoelastic fluids is shown to exhibit a purely elastic subcritical instability at a very small-Reynolds number in spite of being linearly stable. The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette flow of the Upper-Convected Maxwell fluid is presented. Above a critical Weissenberg number, a small finite-size perturbation is sufficient to create a secondary flow, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases. The results suggest a scenario for weakly turbulent viscoelastic flow which is similar to the one for Newtonian fluids as a function of Reynolds number.
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页数:4
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