課程資訊
課程名稱
連體機電力學導論
Introduction to Continuum Electromechanics 
開課學期
100-1 
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
全/半年
半年 
必/選修
選修 
上課時間
星期二6,7,8(13:20~16:20) 
上課地點
工綜209 
備註
總人數上限:40人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1001IntroCEM 
課程簡介影片
 
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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/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)。 

課程目標
1. To understand how electro/magneto-quasi-static fields couple and interact with fluid flow in micro systems.
2. To acquire the basic mathematical tools for modeling fluid flow with electro/magneto-quasi-static field interactions.
 
課程要求
Pre-requisites:
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: 課後、週三下午2-4點,或以e-mail另約時間。 
參考書目
References:
1. Melcher, Continuum Electromechanics, MIT Press
2. Woodson and Melcher, Electromechanical Dynamics, I, II, & III, MIT Press
3. Zahn, Electromagnetic Field Theory–A Problem Solving Approach, Krieger
4. Jones, Electromechanics of Particles, Cambridge University Press
5. Grodzinsky, Fields, Forces, and Flows in Biological Engineering, Garland
Science
6. Truskey, Yuan, and Katz, Transport Phenomena in Biological Systems,
Prentice Hall
7. Rosensweig, Ferrohydrodynamics, Dover
8. Bruus, Theoretical Microfluidics, Oxford
9. Probstein, Physicochemical Hydrodynamics, 2nd edn, John Wiley
10.Morgan and Green, AC Electrokinetics: Colloids and Nanoparticles, Research
Studies Press 
指定閱讀
1. Griffiths, Introduction to Electrodynamics, 3rd edn. (推薦未修過電磁者)
2. Bruus, Theoretical Microfluidics, Oxford (廣泛包含各類微流體力學理論)
3. Class notes and handouts 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Term Project 
40% 
oral 15%, written 25% 
2. 
Homework 
60% 
~6 homeworks 
 
課程進度
週次
日期
單元主題
第1週
9/13  Introduction 
第2週
9/20  Fundamentals of fluid mechanics 
第3週
9/27  Lubrication approximation; concept of tensors 
第4週
10/04  Low Re# flows; (intro porous media flows?) 
第5週
10/11  Fundamentals of electromagnetism (Maxwell Eqs. in vacuum) 
第6週
10/18  Polarization; conduction; magnetization 
第7週
10/25  Maxwell Eqs. in medium. The EQS and MQS approximations. 
第8週
11/01  EQS and MQS boundary value problems (electrorotation, dielectrophoresis?) 
第9週
11/08  Mathematical techniques: Time & space averaging; the EQS, MQS, and hydrodynamic transfer relations; Maxwell stress tensors 
第10週
11/15  Mathematical techniques: capillary & stress balance w/ surface geometry; The EQS and MQS Bernoulli equations 
第11週
11/22  Ferrohydrodynamics (ferro-fluid spin-up problem) and connection to magneto- or electro- rheology 
第12週
11/29  Electric and magnetic hydrodynamic instabilities  
第13週
12/06  Electric and magnetic hydrodynamic instabilities 
第14週
12/13  Electrohydrodynamics: Taylor pump; Electrokinetics and microfluidics 
第15週
12/20  Biological and physiological applications: poroelasticity & Donnan equilibrium 
第16週
12/27  Biological and physiological applications: microscopic picture of Donnan & PB cell; electrokinetics modified poroelastic responses 
第17週
1/03  Term project presentation