Boundary Element Method for Magnetohydrodynamic Flow: 2D Mhd Duct Flow Problems
Tezer-Sezgin, Münevver, Bozkaya, Canan
- 出版商: Springer
- 出版日期: 2024-05-21
- 售價: $3,730
- 貴賓價: 9.5 折 $3,544
- 語言: 英文
- 頁數: 135
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031583523
- ISBN-13: 9783031583520
海外代購書籍(需單獨結帳)
相關主題
商品描述
Boundary Element Method for Magnetohydrodynamic Flow" offers one of the first systematic and detailed treatments of the application of boundary element method (BEM) to magnetohydrodynamic (MHD) flow problems. It aims to fill in the gaps left by the earlier books on the application of BEM to some physical problems such as fluid dynamics, elasticity, and geophysics. An overview of the theory of MHD flow and a comprehensive mathematical formulation of BEM for convection-diffusion-type differential equations are provided by the authors, who heavily rely on their research and experience in the disciplines of BEM and MHD flow.
The book first discusses the basic principles of the BEM approach for the MHD duct flow problems in coupled form with the fundamental solution derived by the authors. Specifically, the BEM solutions of MHD flow in pipes of rectangular or circular cross-sections, and MHD flow in infinite regions, are all covered emphasizing the convergence of infinite boundary integrals. This book, especially, concentrates on the MHD flow in regions with partly insulated partly perfectly conducting boundaries by BEM giving also the parabolic boundary layer thickness emanating from the points of discontinuities on the walls. The book secondly includes the dual reciprocity boundary element technique (DRBEM), an alternative form of BEM that expands the applicability of BEM to MHD flow and heat transfer problems as well as buoyancy MHD flow with magnetic potential and inductionless MHD flow. The purpose of the book is to serve as a research book for applied mathematicians, engineers, scientists, and graduate students who wish to learn in-depth about the formulation and application of BEM in MHD flow problems. As such, it is an invaluable resource and a major contribution to the numerical solution of MHD flow problems.
商品描述(中文翻譯)
「磁流體力學邊界元素法」是一本首次系統且詳細介紹邊界元素法(BEM)應用於磁流體力學(MHD)流動問題的書籍。它旨在填補早期關於BEM應用於流體動力學、彈性力學和地球物理等物理問題的書籍所留下的空白。作者提供了MHD流動理論的概述以及BEM在對流-擴散型微分方程中的全面數學表述,並且在BEM和MHD流動領域的研究和經驗上進行了大量依賴。
該書首先討論了BEM方法在耦合形式下應用於MHD管道流動問題的基本原理,並由作者推導出基本解。具體而言,該書涵蓋了矩形或圓形截面管道中的MHD流動以及無窮區域中的MHD流動,並強調無窮邊界積分的收斂性。該書特別關注BEM在部分絕緣部分完全導電邊界的區域中的MHD流動,同時還提供了從壁面不連續點出發的拋物線邊界層厚度。該書其次介紹了雙互易邊界元素技術(DRBEM),這是BEM的另一種形式,擴展了BEM在MHD流動和熱傳問題以及帶有磁位勢的浮力MHD流動和無感應MHD流動中的應用範圍。該書的目的是作為應用數學家、工程師、科學家和研究生學習MHD流動問題的BEM公式和應用的深入研究書籍。因此,它是一個寶貴的資源,對於解決MHD流動問題的數值方法做出了重要貢獻。