非牛顿流体层流微分黏度函数

Differential Viscosity Function of Laminar Flow of Non-Newtonian Fluid in Pipes

为避开用流体力学中的平均值方法求解微分黏度函数时遇到的奇异问题,基于复合函数链式规则简化非牛顿流体的微分黏度函数,并在此基础上建立微分黏度的3种近似式,针对不同近似式的精确性进行分析和比较,明确了近似式的最佳适用范围.

Based on the chain rule of composite function, the differential viscosity function of non- Newtonian fluid was simplified so that the problem of singularity is avoided, which is encountered in solving the differential viscosity function by the average value method commonly used in fluid mechanics. Then three approximation formula of the differential viscosity were established, the precision of the approximations was analyzed and compared, and the OlStimal scopes of application of the approximations were given.