Srivastava L M, Srivastava V P
Ann Biomed Eng. 1985;13(2):137-53. doi: 10.1007/BF02584235.
The problem of peristaltic transport of a non-Newtonian (Power law) fluid in a uniform and non-uniform tube has been investigated under zero Reynolds number and long wavelength approximation. A comparison of the results with those of Newtonian fluid model shows that the magnitude of pressure rise, under a given set of conditions, is smaller in the case of non-Newtonian fluid, when the flow behavior index n less than 1, at zero flow rate. Further, the pressure rise decreases as n decreases from 1, at zero flow rate, is independent of n at a certain value of flow rate, and increases if flow rate exceeds further. Also, at a given flow rate, an increase in the wavelength leads to a decrease in pressure rise and increase in the influence of non-Newtonian behavior. Pressure rise, in the case of non-uniform geometry, is found much smaller than the corresponding value in the case of uniform geometry. Finally, the analysis has been applied and compared with observed flow rates in the vas deferens in rhesus monkeys and in the small intestine.
在零雷诺数和长波长近似条件下，研究了均匀和非均匀管道中非牛顿（幂律）流体的蠕动传输问题。将结果与牛顿流体模型的结果进行比较表明，在给定的一组条件下，当流动行为指数n小于1且流速为零时，非牛顿流体情况下的压力升高幅度较小。此外，在流速为零时，压力升高随着n从1减小而减小，在一定流速值下与n无关，并且如果流速进一步增加则压力升高会增大。同样，在给定流速下，波长增加会导致压力升高减小以及非牛顿行为影响增加。在非均匀几何形状的情况下，发现压力升高比均匀几何形状情况下的相应值小得多。最后，该分析已应用于恒河猴输精管和小肠中的观察流速并进行了比较。
