In the current study, the settling, interaction, drafting, kissing, and tumbling of two identical and non-identical circular particles were simulated in a two-dimensional box in shear-thinning, Newtonian, and shear-thickening fluids by using the combined lattice Boltzmann-smoothed profile methods. Furthermore, the drag coefficient of one particle settling for different power-law indexes and Archimedes numbers was calculated. Also, the effect of the diameter ratio of the two particle pairs was considered during settling. The developed method was validated by simulating the settling of one particle and two identical particles in a Newtonian fluid. To consider two non-identical particles, two cases were examined. In Case A, the larger particle was above the smaller one and in the Case B, the smaller particle was above the larger one. The results showed that the two non-identical particles were separated more easily than the identical ones. In the settling of two particles under the same Archimedes number, the drafting and kissing time considerably increased by changing the non-Newtonian fluid behavior from a shear-thinning one to a shear-thickening one. Also, when the larger particle was above the smaller one, the time duration of the kissing stage increased with the decrease in the diameter ratio.

在目前的研究中，使用组合晶格在剪切稀化、牛顿流体和剪切增稠流体中的二维盒子中模拟了两个相同和不同圆形粒子的沉降、相互作用、牵伸、亲吻和翻滚。玻尔兹曼平滑轮廓方法。此外，计算了不同幂律指数和阿基米德数下一个粒子沉降的阻力系数。此外，在沉降过程中还考虑了两个粒子对的直径比的影响。通过模拟一个粒子和两个相同粒子在牛顿流体中的沉降来验证开发的方法。为了考虑两个不同的粒子，检查了两种情况。在案例 A 中，较大的颗粒位于较小的颗粒上方，而在案例 B 中，较小的颗粒位于较大的颗粒上方。结果表明，两个不同的粒子比相同的粒子更容易分离。在相同阿基米德数下的两个粒子的沉降中，通过将非牛顿流体行为从剪切稀化行为改变为剪切稠化行为，牵伸和亲吻时间显着增加。此外，当较大的颗粒高于较小的颗粒时，亲吻阶段的持续时间随着直径比的减小而增加。