Sloshing in Upright Circular Containers: Theory, Analytical Solutions, and Applications
暫譯: 直立圓形容器中的波動：理論、解析解及應用

Raynovskyy, Ihor, Timokha, Alexander

Sloshing in Upright Circular Containers: Theory, Analytical Solutions, and Applications
  • 出版商: CRC
  • 出版日期: 2020-10-08
  • 售價: $6,820
  • 貴賓價: 9.5 折 $6,479
  • 語言: 英文
  • 頁數: 170
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0367362899
  • ISBN-13: 9780367362898

    • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

本書介紹了直立圓柱形儲槽中液體擺動的數學基礎和結果，並提供半解析解。書中概述了多模態方法的一般數學和物理方面，描述了重要里程碑，並展示了直立圓柱形儲槽的幾個模態系統版本，包括線性和非線性系統。

本書提供了最先進的理論擺動的詳細描述，參考文獻超過200篇。它介紹了自由表面擺動問題的數學基礎，詳細說明了線性和非線性模態方程，提供了粘性阻尼的解析估算，並涵蓋了穩態解的穩定性分析。

本書適合處理擺動的工程師、研究自由表面問題的應用數學家，以及需要了解表面波理論的基本原理和解析解的流體力學講師。

作者簡介

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.

作者簡介(中文翻譯)

亞歷山大·季莫哈（Alexander Timokha）於1988年在前蘇聯基輔國立大學獲得流體力學博士學位，並於1993年在烏克蘭國家科學院數學研究所獲得物理與數學的全博士學位（Habilitation）。他自1994年起擔任應用數學教授，並於2017年成為系主任，於2015年成為烏克蘭國家科學院的對應會員。他曾是北約（NATO）高級研究員（1998-1991）及亞歷山大·馮·洪堡（Alexander-von-Humboldt）研究員（2003-2004），並獲得多項國內外獎項，包括1994年美國非線性分析最佳論文的佩特里辛獎（Petryshyn's prize）及2012年烏克蘭科學與技術國家獎。在2004年至2012年間，他擔任挪威科技大學（NTNU）船舶與海洋結構中心的訪問教授。自2013年起，他在NTNU的卓越中心「自主海洋作業與系統」擔任研究教授。他的研究興趣在於數學流體力學，已發表超過200篇期刊論文及4本書籍。

伊霍爾·雷諾夫斯基（Ihor Raynovskyy）於2015年在烏克蘭基輔國立塔拉斯·舍甫琴科大學獲得理學碩士學位，並於後來在烏克蘭國家科學院數學研究所獲得理論力學博士學位。自2018年以來，伊霍爾·雷諾夫斯基在基輔的烏克蘭國家科學院數學研究所擔任研究員。他已發表7篇期刊論文並參加5場國際會議。

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