Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
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DOI：
10.1063/5.0188444
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发表时间：
2023-11
影响因子：
4.6
通讯作者：
Peter Angerman;S. S. Prasanna Kumar-S.;Ryohei Seto;Bjornar Sandnes;M. Ellero
中科院分区：
文献类型：
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作者：
Peter Angerman;S. S. Prasanna Kumar-S.;Ryohei Seto;Bjornar Sandnes;M. Ellero
尽管最近的兴趣在不连续剪切增稠（DST）的行为，很少有计算工作解决这些流体的丰富的流体动力学。在这项工作中，我们提出了第一个实现的微观结构DST模型在光滑粒子流体动力学（SPH）模拟。标量模型在SPH方案中实现，并在两种流动几何形状中进行测试。三个不同的比例，当地的非当地的微观结构的影响进行了探讨：零，中等，强非本地性。强和中等的情况下，通过Wyart-Cates（WC）模型构建的流动曲线取得了很好的协议，与中度的情况下表现出带状图案。我们表明，一个本地的模型是容易出现的应力分裂不稳定性，导致不连续的应力场和不良协议的WC模型。应力劈裂的机制已被探索和上下文的局部组织演变和应力控制方案的相互作用。体力驱动的DST通道流的解析解已被推导出来，并用于验证SPH模拟与速度分布的良好协议。在增加驱动力的情况下进行的模拟显示流量减少。我们发现，即使是简单的标量模型也可以捕捉到DST材料的一些关键特性，为进一步SPH研究不稳定性和图案形成奠定了基础。
Despite the recent interest in the discontinuous shear-thickening (DST) behavior, few computational works tackle the rich hydrodynamics of these fluids. In this work, we present the first implementation of a microstructural DST model in smoothed particle hydrodynamic (SPH) simulation. The scalar model was implemented in an SPH scheme and tested in two flow geometries. Three distinct ratios of local to non-local microstructural effects were probed: zero, moderate, and strong non-locality. Strong and moderate cases yielded excellent agreement with flow curves constructed via the Wyart–Cates (WC) model, with the moderate case exhibiting banding patterns. We demonstrate that a local model is prone to a stress-splitting instability, resulting in discontinuous stress fields and poor agreement with the WC model. The mechanism of stress splitting has been explored and contextualized by the interaction of local microstructure evolution and the stress-control scheme. Analytic solutions for a body-force-driven DST channel flow have been derived and used to validate the SPH simulations with excellent agreement in velocity profiles. Simulations carried out at increasing driving forces exhibited a decrease in flow. We showed that even the simple scalar model can capture some of the key properties of DST materials, laying the foundation for further SPH study of instabilities and pattern formation.