In this note, we investigate through scaling laws and direct numerical simulations the development of inertia-dominated coiling instabilities in power-law fluids. Our numerical results are based on an adaptive variational multi-scale method for multiphase flows. In short, when inertia is balanced by viscous forces in the coil, both the coiling frequency and the coil radius are given by a power-law function of both the Reynolds number, and the flow behaviour index.

中文翻译：

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幂律流体的惯性支配盘绕不稳定性

在本说明中，我们将通过比例定律和直接数值模拟研究幂律流体中惯性主导的线圈不稳定性的发展。我们的数值结果基于针对多相流的自适应变分多尺度方法。简而言之，当惯性通过线圈中的粘性力平衡时，线圈频率和线圈半径都由雷诺数和流动特性指数的幂律函数给出。