In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp jump in viscosity, and it is consistent with momentum conservation. In the limit of vanishing thickness, the truly DST behavior is obtained. Analytical results are validated by numerical simulations under steady and start-up flow using the smoothed particle hydrodynamics method. Flow results are investigated and discussed for different values of the model parameters.

中文翻译：

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非连续剪切增稠模型流体的平面通道流：理论与模拟

在这项工作中，提出了平面通道中不连续剪切增稠 (DST) 流体的压力驱动流动的解析解。为了模拟流体流变，采用正则化逆双粘模型。这涉及一个有限厚度的区域来模拟粘度的急剧跳跃，这与动量守恒是一致的。在厚度消失的极限内，获得了真正的 DST 行为。分析结果通过使用平滑粒子流体动力学方法在稳态和启动流下的数值模拟得到验证。针对不同的模型参数值研究和讨论了流动结果。