不可缩球绕流的Navier-Stokes方程的解

一百多年来 ,流体力学虽然发展很快 ,但一直未找到它的基本动力学方程 Navier- Stokes方程的任何真正解 (非简化解 ) ,本文利用自己特有的平衡——待定系数法解决了这一问题 ,证明了其解的存在性。另外 ,在牛顿流体的情况下 ,压强 p不可能为负值 ,但此方程的解适合于整个实数域 ,因此 ,必须对 p的值域进行限制 ( p>0 ) ,这就是本文提出的以分离流动为依据的边界约束条件。此解法是一种通用解法 ,它适合于其它坐标系和比球面边界更复杂的边界条件 ,也可以推广到 3、4维可压缩的粘性流动的研究中。

The Solution of Navier-Stokes Equation for Incompressible Flow around Ball

For more than one hundred years fluid mechanics has developed quickly, but the basic dynamics equation Navier Stokes is not solved (non simplified solution). This paper has solved the problem, using the way of setting undetermined coefficient with equation balance technique and has proved the existence of its solution. Besides, the pressure p would not be negative under the condition of Newton fluid. Because the N S equation is applicable to all fields of real number, the range of pressure p has to be limited (p>0 ).This is the boundary constraint condition based on breakaway flow. This technique is a universal method to solve N S equation, suited to other coordinate systems and boundary conditions more complex than ball surface, and may be used in the research of the 3.4 dimension compressible viscous flow.