
Sloshing in Upright Circular Containers
Theory, Analytical Solutions, and Applications
CRC Press
1st Edition
Published on 7. October 2024
Book
Paperback/Softback
158 pages
978-0-367-61039-5 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Academic and Professional
Illustrations
22 s/w Abbildungen, 19 s/w Tabellen
19 Tables, black and white; 22 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 10 mm
Weight
272 gr
ISBN-13
978-0-367-61039-5 (9780367610395)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Ihor Raynovskyy | Alexander Timokha
Sloshing in Upright Circular Containers
Theory, Analytical Solutions, and Applications
Book
10/2020
1st Edition
CRC Press
€241.30
Shipment within 15-20 days

Ihor Raynovskyy | Alexander Timokha
Sloshing in Upright Circular Containers
Theory, Analytical Solutions, and Applications
E-Book
10/2020
1st Edition
CRC Press
€74.99
Available for download

Ihor Raynovskyy | Alexander Timokha
Sloshing in Upright Circular Containers
Theory, Analytical Solutions, and Applications
E-Book
10/2020
1st Edition
CRC Press
€74.99
Available for download
Persons
Alexander Timokha obtained his PhD degree (1988) in fluid dynamics from Kyiv State University, USSR, and, later on, Full Doctoral degree in physics and mathematics (Habilitation, 1993) from Institute of Mathematics, National Academy of Sciences of Ukraine (NASU). He is Professor of Applied Mathematics (1994) and Head of Department (2017), Corresponding Member of NASU (2015). He is Senior NATO (1998-1991) and Alexander-von-Humboldt (2003-2004) Fellow, has numerous national and international awards including Petryshyn's prize for the best work in Nonlinear Analysis (USA, 1994) and State Award in Science & Technology (Ukraine, 2012). In 2004-2012, he was a Visiting Professor at "Centre for Ship and Ocean Structures", Norwegian University of Science and Technology (NTNU). From 2013, he is Research Professor at Centre of Excellence "Autonomous Marine Operations and Systems", NTNU. His interests lie in the Mathematical Fluid Mechanics. He has authored more than 200 journal papers and 4 books.
Ihor Raynovskyy obtained his Master Science degree from Kyiv national Taras-Shevchenko University, Ukraine, in 2015, and, later on, PhD degree in theoretical mechanics from the Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine. Since 2018, Ihor Raynovskyy occupies position of Researcher at the Institute of Mathematics of NASU, Kyiv. He has authored 7 journal papers and participated in 5 international conferences.
Ihor Raynovskyy obtained his Master Science degree from Kyiv national Taras-Shevchenko University, Ukraine, in 2015, and, later on, PhD degree in theoretical mechanics from the Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine. Since 2018, Ihor Raynovskyy occupies position of Researcher at the Institute of Mathematics of NASU, Kyiv. He has authored 7 journal papers and participated in 5 international conferences.
Author
National Academy of Sciences of Ukraine
National Academy of Sciences of Ukraine
Content
1. Introduction. 2. Differential, Variational and Modal Statements of the Sloshing Problem. 3. Damping in Liquid Sloshing Dynamics. 4. Linear Modal Theory. 5. Nonlinear Asymptotic Modal Theory of the Narimanov-Moiseev Type. 6. Steady-state (periodic) Solutions of the Narimanov-Moiseev Type Modal Equations. 7. Steady-State Sloshing for the Longitudinal Forcing.
8. Steady-State Sloshing for Orbital Forcing. Appendix: Tables of hydrodynamic coefficients
8. Steady-State Sloshing for Orbital Forcing. Appendix: Tables of hydrodynamic coefficients