The flow of a non-Newtonian, power-law fluid, directed normally to a rotating sphere is considered in the present paper. The problem is investigated by means of a three-dimensional numerical simulation with the SIMPLE algorithm. The investigation covers the power-law index from 0.2 up to 2, rotation rate from 0.1 up to 3 and Reynolds number from 0.1 up to 100. The following general rules are valid. The lift coefficient increases with increasing the rotation rate. At high Re numbers the drag coefficient increases with the power-law index. At high Re numbers the torque coefficient increases with the power-law index and with the rotation rate, whereas the torque coefficient reduces as the Reynolds number increases. In addition, there are some special cases which are analyzed in the text.

本文考虑了非牛顿幂律流体的流动，该流体通常指向旋转球体。通过使用SIMPLE算法进行三维数值模拟来研究该问题。该调查涵盖了从0.2到2的幂律指数，从0.1到3的转速以及从0.1到100的雷诺数。以下一般规则是有效的。升力系数随着转速的增加而增加。在高Re数下，阻力系数随幂律指数而增加。在高Re数下，扭矩系数随幂律指数和转速而增加，而扭矩系数随雷诺数的增加而减小。此外，本文还分析了一些特殊情况。