论文标题
压力驱动通道流中纯弹性行驶波解决方案的线性稳定性分析
Linear stability analysis of purely elastic travelling wave solutions in pressure driven channel flows
论文作者
论文摘要
对直接通道中稀聚合物溶液的压力驱动流动流的最新研究表明，存在与层状状态断开连接的二维相干结构，并通过来自Infinity的亚临界分叉出现。建议这些旅行波溶液组织纯粹的弹性和弹性惯性混沌通道流的相位空间动力学。在这里，我们考虑了各种参数，涵盖了纯弹性和弹性惯性案例，并证明当嵌入到足够宽的三维域中时，二维旅行波溶液是不稳定的。我们的工作表明，直接通道中纯粹的弹性和弹性惯性湍流的研究需要三维模拟，并且通过研究严格的二维通道流，无法得出可靠的结论。
Recent studies of pressure-driven flows of dilute polymer solutions in straight channels demonstrated the existence of two-dimensional coherent structures that are disconnected from the laminar state and appear through a sub-critical bifurcation from infinity. These travelling-wave solutions were suggested to organise the phase-space dynamics of purely elastic and elasto-inertial chaotic channel flows. Here, we consider a wide range of parameters, covering the purely-elastic and elasto-inertial cases, and demonstrate that the two-dimensional travelling-wave solutions are unstable when embedded in sufficiently wide three-dimensional domains. Our work demonstrates that studies of purely elastic and elasto-inertial turbulence in straight channels require three-dimensional simulations, and no reliable conclusions can be drawn from studying strictly two-dimensional channel flows.
