粘性流动的最大功率消耗原理不成立——论自然条件不参加变分兼论变分的定义及运算法则

The Principles of Maximum Power Lossed for Problems of Viscous Fluid Flows Is Not Hold True--On the Natural Conditions Not Participating In the Process of Variation Also On The Variation Definition and Its Operational Rules

本文论述了变分原理的自然条件不参加变分;证明了粘性流体流动的功率消耗Ⅱ_(iv)、Ⅱ_(iv)、Ⅱ_(pc)皆只是驻值原理而不是极值原理;还提出了新的高阶变分定义,它有运算简便等优点。

This treatise argues the national conditions of variational principles not participating in the process of variation, and proves all the power lossed of viscous fluid flows Ⅱiv[1],Ⅱiv(λ)[1],Ⅱpc[1] are only stationary principles but are not maximum principles. This treatise also presents a new definition of high-order variations, which are with some advantages, e. g., their operations are simpler and more convenient.