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arXiv 2408.08285physics.flu-dyn
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不连续剪切增稠流体中时空不稳定性的数值模拟

Numerical Simulations of Spatiotemporal Instabilities in Discontinuous Shear Thickening Fluids

Peter Angerman, Bjornar Sandnes, Ryohei Seto, Marco Ellero

AI总结:

本研究采用SPH方法模拟平面简单剪切下的DST流体标量模型,重现空间均匀不稳定性机制,解释应力分裂引发的空间非均匀性,发现引入非局域性可产生新的时间不稳定性机制,且真实参数下会出现由跨间隙摩擦结构驱动的非周期振荡。

摘要:

不连续剪切增稠(Discontinuous Shear Thickening, DST)流体在广泛的流动条件下表现出独特的不稳定性特性。我们采用光滑粒子流体动力学(Smoothed Particle Hydrodynamics, SPH)方法,对平面简单剪切下的DST流体标量模型开展了数值模拟。该模型重现了基于惯性时间尺度与微结构时间尺度相互竞争的空间均匀不稳定性机制,与理论预测具有良好的一致性。由应力分裂不稳定性引发的空间非均匀性可通过微结构演化的局部分量得到合理解释。利用这一效应,研究发现在模型中引入非局域性会产生另一种时间不稳定性机制,该机制由非均匀图案的形成所驱动。所得到的微结构排布与DST中梯度图案形成的实验数据基本吻合。在代表真实DST材料的参数空间内进行的模拟显示,剪切速率和应力的测量值出现非周期振荡,其驱动因素是跨间隙摩擦结构的形成。

英文摘要:

Discontinuous Shear Thickening (DST) fluids exhibit unique instability properties in a wide range of flow conditions. We present numerical simulations of a scalar model for DST fluids in a planar simple shear using the Smoothed Particle Hydrodynamics (SPH) approach. The model reproduces the spatially homogeneous instability mechanism based on the competition between the inertial and microstructural timescales, with good congruence to the theoretical predictions. Spatial inhomogeneities arising from a stress-splitting instability are rationalised within the context of local components of the microstructure evolution. Using this effect, the addition of non-locality in the model is found to produce an alternative mechanism of temporal instabilities, driven by the inhomogeneous pattern formation. The reported arrangement of the microstructure is generally in agreement with the experimental data on gradient pattern formation in DST. Simulations in a parameter space representative of realistic DST materials resulted in aperiodic oscillations in measured shear rate and stress, driven by formation of gap-spanning frictional structures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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