泊肃叶定律三种推导方法的比较

Comparison of Three Derivation Methods of Poiseuille Law

鉴于泊肃叶定律在血液流变学中占有重要地位,本文详细介绍了该定律的三种推导方法,分别从牛顿粘滞定律和纳维-斯托克斯方程出发进行推导。结果表明:从纳维-斯托克斯方程出发的推导方法优于牛顿粘滞定律,该方法可明确说明泊肃叶定律的适用条件,并且易于推广到非水平圆管等其他情况。

In view of Poiseuille Law＇ important role in hemorheology, this paper introduces three methods to deduce the law, respectively, starting with Newton＇s law of viscosity and Navier-Stokes equation. The results show that： the derivation method starting from the Navier-Stokes equations is better than Newton＇s law of viscosity. The method can specify the Poiseuille Law＇s applicable conditions, and it is easy to extend to other cases of non-horizontal pipes.