課程名稱 
連體機電力學導論 Introduction to Continuum Electromechanics 
開課學期 
1092 
授課對象 
工學院 機械工程學研究所 
授課教師 
黃信富 
課號 
ME5297 
課程識別碼 
522 U5860 
班次 

學分 
3.0 
全/半年 
半年 
必/選修 
選修 
上課時間 
星期二3,4,5(10:20~13:10) 
上課地點 
新502 
備註 
總人數上限：40人 
Ceiba 課程網頁 
http://ceiba.ntu.edu.tw/1092ME5297_6642 
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課程概述 
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/nanofluidic aspects and describe the electromagnetic field and fluid mechanical interactions in the design and development of micro total analysis system and micro/nanoelectromechanical system applications. 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 3unit 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 quasistatic 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 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. 
課程目標 
1. To understand how electro/magnetoquasistatic fields couple and interact with fluid flow in micro systems.
2. To acquire the basic mathematical tools for modeling fluid flow with electro/magnetoquasistatic field interactions. 
課程要求 
Prerequisites:
Fluid mechanics, electromagnetism, heat and mass transfer, engineering mathematics (有這些預修最好，但非絕對必要。) 
預期每週課後學習時數 

Office Hours 
另約時間 備註： Please send me an email to set up an appointment. 
參考書目 
References:
Melcher, Continuum Electromechanics, MIT Press
Woodson and Melcher, Electromechanical Dynamics, I, II, & III, MIT Press
Zahn, Electromagnetic Field Theory–A Problem Solving Approach, Krieger
Jones, Electromechanics of Particles, Cambridge University Press
Truskey, Yuan, and Katz, Transport Phenomena in Biological Systems, Prentice
Hall
Rosensweig, Ferrohydrodynamics, Dover
Bruus, Theoretical Microfluidics, Oxford
Probstein, Physicochemical Hydrodynamics, 2nd edn, John Wiley 
指定閱讀 
Notes and handouts. 
評量方式 (僅供參考) 
No. 
項目 
百分比 
說明 
1. 
Midterm exam 
60% 
Midterm take home exam. To be held roughly around the 1213 week of the semester. 
2. 
Final written report 
25% 
Final written report, due on Jun 22. 
3. 
Final oral presentation 
15% 
Oral presentation to be held on Jun 22. 

週次 
日期 
單元主題 
第1週 
2/23 
Introduction 
第2週 
3/02 
Fundamentals of fluid mechanics 
第3週 
3/09 
Lubrication approximation; concept of tensors 
第4週 
3/16 
Low Re# flows 
第5週 
3/23 
Fundamentals of electromagnetism (Maxwell Eqs. in vacuum) 
第6週 
3/30 
Polarization; conduction; magnetization 
第7週 
4/06 
Spring break, no class 
第8週 
4/13 
Polarization; conduction; magnetization 
第9週 
4/20 
Maxwell Eqs. in medium. The EQS and MQS approximations 
第10週 
4/27 
EQS and MQS boundary value problems; Electric conduction and magnetic diffusion 
第11週 
5/04 
Mathematical techniques: Time & space averaging; the EQS, MQS, and hydrodynamic transfer relations; Maxwell stress tensors 
第12週 
5/11 
Mathematical techniques: capillary & stress balance w/ surface geometry; The EQS and MQS Bernoulli equations 
第13週 
5/18 
Ferrohydrodynamics (ferrofluid spinup problem) and connection to magneto or electro rheology 
第14週 
5/25 
Electric and magnetic hydrodynamic instabilities 
第15週 
6/01 
Electric and magnetic hydrodynamic instabilities 
第16週 
6/08 
Electrohydrodynamics: Taylor pump; Electrokinetics and microfluidics 
第17週 
6/15 
Porous media flows; Biological and physiological applications 
第18週 
6/22 
Final written report due, and oral presentation. 
