Course Objective:
In this course, we are mainly concerned with the transport phenomena at the micro and nanoscales. The course is approximately divided into two parts: micro/nano-fluidics and nanoscale energy transport. During the first half semester, we study the micro/nano-fluidics that deals with the dynamics of micro- and nano particles inside fluid and the fluid flows in micro- and nano-channels. During the second half semester, we study the nano-scale energy transport which can be described in terms of dynamics of electrons, molecules, phonons, and photons inside nano-scale structures. By providing fundamental knowledge of micro/nano-scale transport phenomena, we want to help students grow to be major players in the areas of energy, bio-tech, bio-medical, and nano-technology.

Another main point of this course is that we will go through the most important three PDEs: the Navier-Stokes equation, the Maxwell equations, and the Schroedinger equation.

Prerequisite:
Undergraduate transport phenomena-1 (momentum transport or fluid mechanics) or any other courses of equivalent level.

Evaluation:
- homework (100)
- midterm (100)
- final (100)

Texts:
- L. G. Leal, Advanced Transport Phenomena: Fluid mechanics and convective transport processes, Cambridge University Press (2007)
- G. Chen, Nanoscale Energy Transport and Conversion, Oxford University Press (2005)
References:
- J.N. Israelachivili, Intermolecular and Surface Forces, Academic Press (1985)
- W.B. Russel, D.A. Saville, and W.R. Schowalter, Colloidal Dispersions, Cambridge University Press (1989)
- L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press (1980)

Lecture Plan:
=== Micro/Nanofluidics ===
1st week: Basic principles of transport phenomena (Leal Chap. 2)
2nd week: Basic principles-continued & Navier-Stokes equation (Leal Chap. 2)
3rd week: Stokes flow (creeping flow) #1 (Leal Chap. 7)
4th week: Stokes flow (creeping flow) #2 (Leal Chap. 7)
5th week: Stokes flow (crreping flow) #3 (Leal Chap. 8)
6th week: Brownian motion and Diffusion
7th week: Review on electromagnetism
8th week: Electromagnetism-continued & Maxwell equations
9th week: Micro/Nanofluidics (electrokinetics)
10th week: Ion dynamics in nanochannel === Midterm
=== Nanoscale Energy Transport ====
11th week: Introduction to nanoscale energy transport (Chen Chap. 1)
12th week: Brief history of quantum mechanics development (Chen chap. 2)
13th week: Schroedinger equation and solutions (Other ref)
14th week: Energy state in solids (Chen Chap. 3)
15th week: Review of statistical thermodynamics (Chen Chaps. 4)
16th week: Conclusion === Final Exam

TA: