The trajectories of chaotic fluctuations in dilute micellar solutions, which typically occur during the creation and destruction of shear‐induced structures in the flow inception of a 0.4 wt % cetyltrimethylammonium tosilate aqueous solution and an aqueous solution of 3 mM cetyyltrimethylammonium bromide‐sodium salicylate, are predicted here with an improved Bautista–Manero–Puig model. To determine the constancy of the model parameters with time, we applied successfully an integro‐differential approach. This methodology revealed that all the model parameters, but the elastic modulus is constant. The nature of the predicted fluctuations was analyzed by employing the exponent of Lyapunov. This analysis demonstrates that the fluctuations are chaotic deterministic in Regimes I and IV, whereas they are random in Region II. We found that the predictions of the modified model follow the experimental data and reveal that these fluctuations are related to the creation of elastic structures at the inception of shear flow. © 2018 American Institute of Chemical Engineers AIChE J, 64: 3735–3745, 2018

中文翻译：

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用改进的bautista-manero-puig模型预测剪切增稠过程中的流动不稳定性

稀胶束溶液中的混沌波动的轨迹通常是在0.4 wt％的鲸蜡基三甲基溴化铵水杨酸三钠乙基酯基三甲基铵磺酸盐水溶液和0.4 wt％十六烷基三甲基溴化铵水杨酸酯水溶液的流动开始时剪切诱导的结构的产生和破坏期间发生的。使用改进的Bautista–Manero–Puig模型进行预测。为了确定模型参数随时间的恒定性，我们成功地应用了积分微分方法。这种方法揭示了所有模型参数，但是弹性模量是恒定的。通过使用Lyapunov指数分析了预测波动的性质。该分析表明，在方案I和IV中，波动是混沌确定性的，而在方案II中，波动是随机的。我们发现，修改后的模型的预测遵循实验数据，并揭示出这些波动与剪切流开始时弹性结构的产生有关。©2018美国化学工程师学会AIChE J，64：3735-3745，2018