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RECENT RENDING (JULY 2019) –
MOST VIEWED ARTICLE
Mechanical Engineering: An International
Journal (MEIJ)
ISSN: 2349 - 2651
http://airccse.com/meij/index.html
DISCOVERY OF LAGRANGIAN EQUATION FOR
FLUID MECHANICS
Shuh Jing Ying
University of South FloridaTampa, Florida, USA
ABSTRACT
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.
KEYWORDS
Lagrangian equation, Dynamics and fluid mechanics are connected
SOURCE URL
https://airccse.com/meij/papers/4417meij02.pdf
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Recent rending-Mechanical Engineering: An International Journal (MEIJ)

  • 1. RECENT RENDING (JULY 2019) – MOST VIEWED ARTICLE Mechanical Engineering: An International Journal (MEIJ) ISSN: 2349 - 2651 http://airccse.com/meij/index.html
  • 2. DISCOVERY OF LAGRANGIAN EQUATION FOR FLUID MECHANICS Shuh Jing Ying University of South FloridaTampa, Florida, USA ABSTRACT 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. KEYWORDS Lagrangian equation, Dynamics and fluid mechanics are connected