泊肃叶流动流速与流层半径成抛物线的机制

尽管均匀圆直管内定常流时流速与流层半径成抛物线关系已发现一百多年,但尚未见有文献揭示其形成机制。具体而圆满地揭示其形成机制就是本研究的目的。采用理论性研究方法,创造性地抓住抛物线流速曲线的两个本质特征,并巧妙地推导出接触流层之间的内摩擦力与流层半径的平方关系式以及任一流层两侧面所受内摩擦力之差与该流层半径的关系式。两个本质特征的发现和两个关系式的导出,使研究得以开启并顺利进行,构建起抛物线流速曲线的形成机制理论。

Formation mechanism of parabolic from the Poiseuille flow velocity and the radius of flow layer

Although the parabolic relationship between the velocity of steady flow and the radius of the flow layer has been found for more than 100 years, no literature has revealed the formation mechanism of the parabolic relationship. The purpose of this study was to reveal its formation mechanism in detail and satisfactorily. By means of theoretical research, two essential characteristics of parabolic velocity curve were grasped. Two relations were derived. One was the square relation between the internal friction of the contact flow layer and the radius of the flow layer. The other was the relation between the internal friction difference of the two sides of any flow layer and the radius of that flow layer. The discovery of two essential features and the derivation of two formulas enabled the research to start and proceed smoothly. Finally, the formation mechanism theory of parabolic velocity curve was constructed.