Author : Banavara N. Shashikanth
Publisher : Springer Nature
ISBN 13 : 3030826465
Total Pages : 192 pages
Book Rating : 4.0/5 (38 download)
Book Synopsis Dynamically Coupled Rigid Body-Fluid Flow Systems by : Banavara N. Shashikanth
Download or read book Dynamically Coupled Rigid Body-Fluid Flow Systems written by Banavara N. Shashikanth and published by Springer Nature. This book was released on 2021-10-28 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff’s equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff’s equations of motion, the book discusses several extensions of Kirchhoff’s work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix.