課程名稱 
連體機電力學導論 Introduction to Continuum Electromechanics 
開課學期 
1102 
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 
522EU5860 
班次 

學分 
3.0 
全/半年 
半年 
必/選修 
選修 
上課時間 
星期四3,4,5(10:20~13:10) 
上課地點 
新504 
備註 
本課程以英語授課。 總人數上限：40人 


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課程概述 
NOTE: Class meets on Thursdays, 10:20 AM~ 13:10 PM for Spring, 2022. (updated on Jan 19, 2022)
Course description:
Over the past years, the fundamental physics and theories of electrokinetics (EK), electrohydrodynamics (EHD), ferrohydrodynamics (FHD), etc., have drawn a renewed attention from the scientific community due to the need of better modeling and describing the electromagnetic field and fluid dynamical interactions in the design and development of micro total analysis systems. So far, however, the modeling physics and mathematical tools required for describing and analyzing these electrically or magnetically coupled fluid flows are less accessible through general unified class lectures, and the interested student or beginning graduate students need to delve into dense technical papers or monographs available in the vast literature just to catch glimpses of the basic ideas in related fields.
In this 3unit, half year introductory class directed toward junior, senior, and graduate students, we attempt to systematically and logically introduce these physics and tools so that students can acquire the fundamental working knowledge for formulating and analyzing these electrically or magnetically coupled flow problems encountered in miniaturized systems research. Here, at introductory level, this course is arranged in two parts:
In the first part, we shall introduce the fundamental theories of electromagnetism as well as several advanced mathematical techniques while reviewing the basics of fluid mechanics. Coupled governing equations that describe the fluid dynamics and responses in the presence of electro and/or magneto quasistatic fields will be developed and derived so that the students can acquire the minimum necessary tools for analyzing research or design problems.
On the other hand, the various applications of continuum electromechanics are discussed in the second part of the course after we lay the groundwork. 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 electro or magnetically coupled hydrodynamics. The goal of the term project is for the students to further familiarize themselves with the key concepts and ideas through applying the mathematical tools learned during the first part of the course.
Potential topics for the project will be given early in the term. Students, however, must select their teammates and decide on the topic of their project roughly around midterm. Each team will give an oral presentation to the whole class about their project, and 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 flows.
2. To acquire the basic mathematical tools for modeling fluid flows with electro/magnetoquasistatic field interactions. 
課程要求 
Prerequisites: Fluid mechanics, electromagnetism, heat and mass transfer, engineering mathematics (preferred, but not necessarily needed). 
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, Vols. I, II, & III, MIT Press
Zahn, Electromagnetic Field Theory–A Problem Solving Approach, Krieger
Probstein, Physicochemical Hydrodynamics, 2nd edn, John Wiley
Rosensweig, Ferrohydrodynamics, Dover 
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 take home exam 
60% 

2. 
Term project oral presentation 
15% 

3. 
Term project written report 
25% 


週次 
日期 
單元主題 
第1週 
02/17 
Introduction. 
第2週 
02/24 
Fundamentals of fluid mechanics. 
第3週 
03/03 
Bernoulli equation and lubrication approximation. 
第4週 
03/10 
Low Reynolds number flows. 
第5週 
03/17 
Fundamentals of electromagnetism and Maxwell equations in vacuum. 
第6週 
03/24 
Polarization, magnetization, and conduction models. 
第7週 
03/31 
Maxwell equations in media. The EQS and MQS approximations. 
第8週 
04/07 
EQS and MQS boundary value problems. Electric conduction and magnetic diffusion. 
第9週 
04/14 
Mathematical techniques: (1) time & space averaging, (2) the EQS, MQS, and hydrodynamic transfer relations, (3) Maxwell stress tensors. 
第10週 
04/21 
Mathematical techniques: (4) capillary & stress balance w/ surface geometry. The EQS and MQS Bernoulli equations. 
第11週 
04/28 
Electric and magnetic hydrodynamic instabilities. 
第12週 
05/05 
Electric and magnetic hydrodynamic instabilities. 
第13週 
05/12 
Electrohydrodynamics: Taylor pump. Electrokinetics and microfluidics. 
第14週 
05/19 
Porous media flows. Biological and physiological applications. 
第15週 
05/26 
Ferrohydrodynamics (the ferrofluid spinup problem) and connection to magneto or electro rheology. 
第16週 
06/02 
Oral presentation and final written report due. 
