Polymer melts filled with rod-like particles like glass and carbon fibers have high practical importance. Here we numerically investigate the properties of power-law fluids filled with rigid rods of different aspect ratios. For that we compute the rheological coefficients of the transversely isotropic fluid (TIF) equation and compare our results with analytical models, specifically with the model of Souloumiac and Vincent (1998). Here we found, that the additional orientation dependence predicted by the model for the nonlinear regime is too strong and overpredicts our numerical results. The rheological coefficient A in the TIF equation depends on the thinning exponent of the power-law model and decreases strongly with increasing nonlinearity. In the Newtonian case we found that Batchelor (1970, 1971) considerably underpredicts our numerical results. Comparing our current data with previous results for spheroids we found, that there is no similarity between the rheological coefficients for these particles at large aspect ratios. We further analyze the angular and translational velocities of the particles. We found that there are negligible differences in the angular velocities between the Newtonian and power-law matrix fluids, especially for large aspect ratios. The translational velocities are exactly the same for the Newtonian and power-law fluids.

填充有像玻璃和碳纤维这样的棒状颗粒的聚合物熔体具有很高的实际重要性。在这里，我们用数值方法研究了填充有不同长宽比的刚性棒的幂律流体的特性。为此，我们计算了横向各向同性流体（TIF）方程的流变系数，并将我们的结果与分析模型进行了比较，特别是与Souloumiac和Vincent（1998）的模型进行了比较。在这里，我们发现，模型针对非线性状态所预测的附加方向依赖性太强，并且过度预测了我们的数值结果。流变系数ATIF方程中的α取决于幂律模型的变薄指数，并且随着非线性的增加而强烈减小。在牛顿的情况下，我们发现Batchelor（1970，1971）大大低估了我们的数值结果。将我们目前的数据与球体的先前结果进行比较，我们发现在大的长径比下，这些颗粒的流变系数之间没有相似性。我们进一步分析了粒子的角速度和平移速度。我们发现，牛顿流体和幂律矩阵流体之间的角速度差异可忽略不计，尤其是对于大的长宽比。牛顿流体和幂律流体的平移速度完全相同。