Course description:
Over the recent past years, the fundamental physics and theories of electrokinetics (EK), electrohydrodynamics (EHD), ferrohydrodynamics (FHD), etc., have drawn a renewed attention as well as received intense research interests and efforts from the scientific community to achieve the goal of better modeling the micro/nano-fluidic aspects and describing the electromagnetic field and fluid mechanical interactions in the design and development of micro total analysis systems and micro/nano-electromechanical systems. So far, however, the modeling physics and mathematical tools required for describing and analyzing these electrically or magnetically driven fluid flows are less likely accessible through general unified class lectures and require the students to dig or delve into dense technical papers or monographs available in the vast literature. In this 3-unit half year introductory class directed towards junior, senior, and graduate students, we attempt to systematically and logically introduce these physics and tools so that students can acquire the basic working knowledge for formulating and analyzing these electrically or magnetically driven flow problems encountered in micro/nano systems research.

Here, as an introductory course, the flow of this course will be divided into two parts:

In the first part of the course, I would like to give lectures that introduce the fundamental theories of electromagnetism as well as review the knowledge of fluid mechanics. Coupled governing equations that describe fluid mechanical responses and dynamical motions in the presence of electro- and magneto- quasi-static fields will be developed and derived so that the students can have the minimum necessary tools for analyzing research or design problems.

In the second part of the course, students are asked to form teams or groups (2 to 3 students per group, depends on the size of the class) and to carry out a term project that is related to continuum fluid electromechanics through applying the fundamental tools learned in the previous part of the course. Potential topics for the project will be given early in the term. Students, however, must select their teammates and decide the topic of their project roughly around the middle of the term. Each team will give an oral presentation to the whole class about their project; a written report should also be submitted at the time of presentation.

Active class participation is greatly encouraged.

[註]：這門課不是連體力學 (continuum mechanics, CM)。這門課是微流體系統的電磁流體力學。但為與電機機械區別，並更貼近應用力學、輸送現象領域之連體假設，故取名連體機電力學 (continuum electromechanics, CEM)。

[作業規定]：
1. 請勿抄襲作業。
2. 鼓勵同學間相互討論研究作業內容，但最後繳交之作業必須是由各位同學自己獨力 (用自己的想法及思考邏輯) 所準備與撰寫完成之作業。
3. 請同學們使用A4規格淡色紙撰寫作業並且裝訂整齊(訂書針於左上角)。