标题： 非高剪切粘度下遵循Carreau定律的薄膜流动数学模型 显示英文标题

标题： Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity

摘要： 在本文中，我们通过应用关于$\varepsilon$的渐近分析，推导了在厚度为$0<\varepsilon\ll 1$的薄域中，粘度遵循无高剪切粘度的Carreau定律的准牛顿流体流动的雷诺定律扩展。这提供了一个框架，用于理解非牛顿效应和域的厚度（显著小于其他尺寸）如何影响其流动行为。 显示英文摘要

摘要： In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness $0<\varepsilon\ll 1$ with viscosity obeying the Carreau law without high-rate viscosity, by applying asymptotic analysis with respect to $\varepsilon$. This provides a framework for understanding how the non-Newtonian effects and the thickness of the domain (which is significantly smaller than the other dimensions) influence its flow behavior.