Shuh Jing Ying
University of South Florida, USA
Title: Discover lagrangian equation for fluid mechanics
Biography
Biography: Shuh Jing Ying
Abstract
Lagrangian equation is a useful tool in dynamics. Many equations are developed with the use of Lagrangian equation. But it is not used in fluid mechanics. Now based on the momentum equation in fluid mechanics, I derived the Lagrangian equation so I proved that it can be used also in fluid mechanics. Detailed derivation will be presented in the conference. To illustrate the use of the equation, some examples are given. Those examples given are especially in very familiar area, so people can immediately recognize that is working. Momentum equations for inviscid fluid in Cartesian, cylindrical and spherical coordinates are chosen for the illustration. Now the door is open, application of the equation can be very fruitful to scientists in fluid mechanics.