流体动力学的客观性要求

基金项目: 中国博士后科学基金资助项目

Objectivity Requirement for Fluid Dynamics

1.
State Key Laboratory for Studies of Turbulence and Complex Systems, Peking University, Beijing 100871, P. R. China;
2.
Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P. R. China

摘要: 从流体动力学的客观性要求导出了新的流动理论.流动运动的不均匀性产生粘性力,不同观察者的选取会影响这种不均匀分布特征.将粘性力看作一种与观察者的选取无关的客观存在时,粘性力和动量方程在局域旋转变换下的形式不变性要求引入一种新的动力学场——涡旋场,通过构造流体系统的拉朗日密度并利用能量变分方法得到了所有场量的动力学方程.
- 粘性作用 /
- 不变性 /
- 涡旋场 /
- 拉格朗日密度 /
- 湍流
Abstract: A new flow theory is established through the objectivity requirement on the fluid dynamics. It was known that inhomogeneous fluid motion gave rise to viscous force while the selection of observers on different space-time points would change such an inhomogeneous character. Therefore, when the viscous force was considered as an objective existence foreign to the selection of observers, the form invariances of viscous force and momentum equation under local rotation transformation required a new dynamic field, namely the vortex field to be introduced. Then the dynamical equations of all flow fields were obtained through constructing the Lagrangian density of fluid system and using the variational approach of energy.
- viscous interaction /
- invariance /
- vortex field /
- Lagrangian density /
- turbulence

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