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A NEW METHOD FOR OBTAINING THE EXACT SOLUTIONS OF THE NAVIER-STOKES (NS) EQUATIONS AND ITS APPLICATIONS

机译:获取Navier-Stokes(NS)方程及其应用的精确解决方案的新方法

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摘要

In this paper we propose a new method for obtaining the exact solutions of theNavier-Stokes (NS) equations for incompressible viscous fluid in the light of the theory of simplified Navier-Stokes(SNS) equations developed by the first author. Using the present method we can find some new exact solu-tions as well as the well-known exact solutions of the NS equations. In illustration of its applications, we give a va-riety of exact solutions of incompressible viscous fluid flows for which NS equations of fluid motion are written inCartesian coordinates, or in cylindrical polar coordinates, or in spherical coordinates.
机译:在本文中,我们提出了一种新的方法,用于根据第一作者开发的简化Navier-Stokes(SNS)方程的理论,提出了Nothier-Stokes(NS)方程的精确解决方案。使用本方法,我们可以找到一些新的确切溶剂以及NS方程的众所周知的精确解决方案。为了说明其应用,我们提供了一种不可压缩粘性液体流量的精确解的VA型,其流体运动的NS方程被写入入口坐标,或者在圆柱形极性坐标或球形坐标中。

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