推导Navier–Stokes方程用的Stokes的三条假设  

STOKES’ THREE HYPOTHESES USED IN DERIVING THE NAVIER–STOKES EQUATION

作　　者：黄树新[1,2] HUANG Shuxin(Department of Engineering Mechanics,Shanghai Jiao Tong University,Shanghai 200240,China;Key Laboratory of Hydrodynamics of the Ministry of Education,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学工程力学系,上海200240 [2]上海交通大学水动力学教育部重点实验室,上海200240

出　　处：《力学与实践》2022年第3期749-751,共3页Mechanics in Engineering

基　　金：上海交通大学基金资助项目(JG010003/006)。

摘　　要：Navier–Stokes方程是流体力学中的基本方程。英国人George G Stokes在1845年从连续介质力学的观点推导这个方程时用了3个假设。这篇文章提供了一些Augustin L Cauchy在1827年和1828年的两份工作中的信息,表明3个假设所涉及的概念在Cauchy的工作中已有。The Navier– Stokes equation in fluid mechanics is a fundamental equation. George G. Stokes in England derived the equation by using three hypotheses from the method of continuum mechanics in 1845.However, the three hypotheses can be found in the work of Augustin L Cauchy in 1827 and 1828. The present manuscript provides some information on the concepts of the three hypotheses in the work of Cauchy.

关 键 词：流体力学 Navier–Stokes方程 3个假设 教学 

分 类 号：O351[理学—流体力学]