Title: | The Journey of Lagrange and Applications of Euler-Lagrange Equations in Fluid Mechanics. |
Speaker: | Prof. G. P. Raja Sekhar |
Affiliation: | Professor, Indian Institute of Technology, Kharagpur |
Date: | 25th January, 2018 (Thursday) |
Time: | 5:00 PM |
Abstract: This talk introduces in brief the popular contributions of Joseph-Louis Lagrange and his journey. A brief outline on Lagrange's interaction with Euler will be discussed before introducing the Lagrange equations of second kind or Euler-Lagrange equations. A fluid mechanical problem of lifting a large object that is sunken in a fluid and lying in a neutrally buoyant condition on top of a fluid filled anisotropic porous bed will be discussed in detail. The talk introduces the corresponding Euler-Lagrange equations and then mechanics of break -out phenomenon while lifting such an object will be discussed. This problem has direct application in salvaging sunken ships, moving object at offshore, submersible - engineering etc. .