Lagrangian Equation for Fluid Mechanics | 106766
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Lagrangian Equation for Fluid Mechanics


Shuh Jing Ying

This paper is intended to build a connection between dynamics and fluid mechanics. Since Lagrangian equations are very useful tools in dynamics now it is discovered that it can be also used in fluid mechanics, so connection can be built through this equation. Here, the lagrangian equation is derived from the momentum equation in fluid mechanics, and then the equation is applied to three different coordinates, Cartesian, cylindrical and spherical. Certainly the application of the equation is not limited to these three different coordinates. This is just for illustration. Many applications are expected.

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