Abstract The flow induced by a sphere rotating inside an incompressible, non-Newtonian, power law fluid has been investigated numerically. The rotating sphere is enclosed in a concentric cubic box with solid boundaries. The fluid power-law index varied between 0.2 and 2 thereby covering both shear-thinning and shear-thickening fluids and the Reynolds number varied between 0.01 and 10,000. Numerical predictions show significant differences between shear-thinning and shear-thickening fluids. In the first case the flow is confined near the sphere whereas in the second case the flow extends up to the box plates. In creeping flow and shear-thinning fluids the torque is independent of the Reynolds number.

中文翻译：

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在非牛顿、幂律流体中流过旋转球体，雷诺数高达 10000

摘要 数值研究了在不可压缩的非牛顿幂律流体中由球体旋转引起的流动。旋转球体被封闭在一个具有实心边界的同心立方体中。流体幂律指数在 0.2 和 2 之间变化，从而涵盖了剪切稀化和剪切稠化流体，雷诺数在 0.01 和 10,000 之间变化。数值预测显示剪切稀化和剪切稠化流体之间存在显着差异。在第一种情况下，流动被限制在球体附近，而在第二种情况下，流动向上延伸到箱板。在蠕动流和剪切稀化流体中，扭矩与雷诺数无关。