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.
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 |