Peristaltic flow of a thixotropic fluid obeying the Moore model is numerically studied using the multiple-relaxation-time lattice Boltzmann method (MRT-LBM). Converged results could be obtained in a planar two-dimensional channel at large Reynolds numbers for arbitrary wavelengths and amplitude ratios for nonzero Reynolds numbers. It is shown that depending on the Reynolds number and the parameters of the propagating wave, the time constant introduced through a fluid’s thixotropy may increase the mean flow rate of peristaltic pumps. Our numerical results suggest that for thixotropic fluids there exists a threshold wav-enumber for the peristaltic wave above which thixotropy can boost fluid transport but below which it can have an opposite effect.

中文翻译：

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触变流体的蠕动传输：数值模拟

使用多重弛豫时间晶格玻尔兹曼方法（MRT-LBM）对遵循Moore模型的触变流体的蠕变流动进行了数值研究。可以在平面二维通道中以任意波长的大雷诺数和非零雷诺数的振幅比获得收敛结果。结果表明，根据雷诺数和传播波的参数，通过流体的触变性引入的时间常数可能会增加蠕动泵的平均流速。我们的数值结果表明，对于触变流体，蠕动波存在一个阈值wav-enumber，高于此阈值触变可促进流体传输，但低于此阈值则会产生相反的作用。