課程資訊
課程名稱
連體機電力學導論
Introduction to Continuum Electromechanics 
開課學期
106-1 
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
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期五6,7,8(13:20~16:20) 
上課地點
工綜213 
備註
總人數上限:40人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1061ME5297_6642 
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 describe the electromagnetic field and fluid mechanical interactions in the design and development of micro total analysis system and micro/nano-electromechanical 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 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 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/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: TBA 
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
Class notes and handouts. 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Mid-term take home exam 
65% 
Mid-term take home exam. 
2. 
Final project-oral presentation 
15% 
Final project-oral presentation. 
3. 
Final project-paper report 
20% 
Final project-paper report 
 
課程進度
週次
日期
單元主題
第1週
9/15  Introduction 
第2週
9/22  Fundamentals of fluid mechanics  
第3週
9/29  Lubrication approximation; concept of tensors 
第4週
10/06  Low Re# flows 
第5週
10/13  Fundamentals of electromagnetism (Maxwell Eqs. in vacuum)  
第6週
10/20  Polarization; conduction; magnetization  
第7週
10/27  Maxwell Eqs. in medium. The EQS and MQS approximations.  
第8週
11/03  EQS and MQS boundary value problems; Electric conduction and magnetic diffusion 
第9週
11/10  Mathematical techniques: Time & space averaging; the EQS, MQS, and hydrodynamic transfer relations; Maxwell stress tensors  
第10週
11/17  Mathematical techniques: capillary & stress balance w/ surface geometry; The EQS and MQS Bernoulli equations  
第11週
11/24  Mathematical techniques: capillary & stress balance w/ surface geometry; The EQS and MQS Bernoulli equations  
第12週
12/01  Ferrohydrodynamics (ferro-fluid spin-up problem) and connection to magneto- or electro- rheology  
第13週
12/08  Electric and magnetic hydrodynamic instabilities 
第14週
12/15  Electric and magnetic hydrodynamic instabilities 
第15週
12/22  Electrohydrodynamics: Taylor pump; Electrokinetics and microfluidics  
第16週
12/29  Biological and physiological applications  
第17週
1/05  Biological and physiological applications  
第18週
1/12  Final project presentations