週次 |
日期 |
單元主題 |
第1週 |
09/13 |
Introduction;
Fluid Kinematics: Lagrangian and Eulerian description of fluid motion; Material derivative |
第2週 |
09/20 |
Fluid kinematics: streamline, pathline, and streakline; motion of a fluid element |
第3週 |
09/27 |
Basic law: preliminary mathematics:
index notation, divergence theorem, localization theorem, 2D/3D Leibniz's rule |
第4週 |
10/4 |
Basic law: Reynolds Transport theory, Conservation of mass, stream function |
第5週 |
10/11 |
Basic law: momentum analysis, Navier-Stokes equation |
第6週 |
10/18 |
1st Midterm Exam |
第7週 |
10/25 |
Exact solutions: steady parallel flows |
第8週 |
11/01 |
Exact solutions: unsteady parallel flows, Stokes problems |
第9週 |
11/08 |
Exact solutions: stagnation flows |
第10週 |
11/15 |
Exact solutions: Jaffery-Hamel flows |
第11週 |
11/22 |
2nd Midterm Exam |
第12週 |
11/29 |
Low-Reynolds number flows: Stokes flows |
第13週 |
12/06 |
Low-Reynolds number flows: Corner flows |
第14週 |
12/13 |
Low-Reynolds number flows: Lubrication theory, Hele-Shaw flows |
第15週 |
12/20 |
Boundary-layer flows: boundary-layer thickness |
第16週 |
12/27 |
Boundary-layer flows: similarity solutions |
第17週 |
19/01/03 |
Boundary-layer flows: momentum integral equation |
第18週 |
01/10 |
Final Exam |