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Sloshing in Upright Circular Containers

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Sloshing in Upright Circular Containers Synopsis

This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear. The book offers an extended description of the state-of-the-art theoretical sloshing with more than 200 references. It presents mathematical fundamentals of free-surface sloshing problems, details linear and nonlinear modal equations, provides analytical estimates of viscous damping, and covers stability analysis of steady-state solution. The book is for engineers dealing with sloshing, applied mathematicians working on free-surface problems, and lecturers in fluid mechanics that need to know the fundamentals and analytical solutions from surface wave theory.

About This Edition

ISBN: 9780367362898
Publication date: 8th October 2020
Author: Ihor (National Academy of Sciences of Ukraine) Raynovskyy, Alexander (National Academy of Sciences of Ukraine) Timokha
Publisher: CRC Press an imprint of Taylor & Francis Ltd
Format: Hardback
Pagination: 158 pages
Series: Mathematics and its Applications
Genres: Production and industrial engineering
Engineering: general
Calculus and mathematical analysis
Differential calculus and equations
Applied mathematics
Physics: Fluid mechanics
Mathematics
Engineering: Mechanics of fluids