Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems (Hardcover)
暫譯: 緩慢稀薄流動:理論與微電機系統的應用(精裝版)
Carlo Cercignani
- 出版商: Birkh
- 出版日期: 2006-04-19
- 售價: $5,640
- 貴賓價: 9.5 折 $5,358
- 語言: 英文
- 頁數: 166
- 裝訂: Hardcover
- ISBN: 3764375345
- ISBN-13: 9783764375348
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商品描述
The book presents the mathematical tools used to deal with problems related to slow rarefied flows, with particular attention to basic concepts and problems which arise in the study of micro- and nanomachines. The mathematical theory of slow flows is presented in a practically complete fashion and provides a rigorous justification for the use of the linearized Boltzmann equation, which avoids costly simulations based on Monte Carlo methods. The book surveys the theorems on validity and existence, with particular concern for flows close to equilibria, and discusses recent applications of rarefied lubrication theory to micro-electro-mechanical systems (MEMS). It gives a general acquaintance of modern developments of rarefied gas dynamics in various regimes with particular attention to low speed microscale gas dynamics.
Senior students and graduates in applied mathematics, aerospace engineering, and mechanical mathematical physics will be provided with a basis for the study of molecular gas dynamics. The book will also be useful for scientific and technical researchers engaged in the research on gas flow in MEMS.
商品描述(中文翻譯)
本書介紹了用於處理與緩慢稀薄流動相關問題的數學工具,特別關注於微型和納米機器研究中出現的基本概念和問題。緩慢流動的數學理論以幾乎完整的方式呈現,並為使用線性化的Boltzmann方程提供了嚴謹的理論依據,這避免了基於蒙地卡羅方法的高成本模擬。本書調查了有效性和存在性的定理,特別關注接近平衡的流動,並討論了稀薄潤滑理論在微電機系統(MEMS)中的最新應用。它對各種情況下的稀薄氣體動力學的現代發展提供了一般性的認識,特別關注低速微尺度氣體動力學。
應用數學、航空航天工程和機械數學物理的高年級學生和畢業生將獲得研究分子氣體動力學的基礎。本書對於從事MEMS中氣體流動研究的科學和技術研究人員也將非常有用。