|
週次 |
日期 |
單元主題 |
|
第1週 |
9/17 |
[Ch1] Definition of fluid; continum in different phases with a view from molecular interactions; a little bit on index notation and physical meaning of a 2nd order tensor; [Ch2] Governing equation: conservation of mass, momentum |
|
第2週 |
9/24 |
Energy equation; Lagrangian vs. Eulerian view; Reynolds transport theory (via Leibniz law); constitutive relation; |
|
第3週 |
10/01 |
Constitutive relation; Navier-Stokes eqn; Boundary conditions. [Ch3]: Couette-Poiseuille flows |
|
第4週 |
10/08 |
Analytic solution (u,v,p): Couette-Poiseuille flow, Stokes second problem |
|
第5週 |
10/15 |
Analytic solution in (u,v,p): Stokes 1st problem, similarity solution; Vorticity equation & its solution |
|
第6週 |
10/22 |
Vortex dynamics; streamfunction formulation |
|
第7週 |
10/29 |
Streamfunction solution |
|
第8週 |
11/05 |
More exampls; [Ch4] scaling analysis |
|
第9週 |
11/12 |
In-class Midterm exam [open personal notes, one fluid book and one math book] |
|
第10週 |
11/19 |
[Ch.5] Low Re flow: Stokes drag law, thin film eqn, relevant scaling/dimension analysis.. |
|
第11週 |
11/26 |
Thin film flows; Comments on Stokes eqn; derivation using fundamental solution |
|
第12週 |
12/03 |
[Ch.6] Boundary layer theory |
|
第13週 |
12/10 |
Boundary layer theory; |
|
第14週 |
12/17 |
Integral form, approx. of BL theory. |
|
第15週 |
12/24 |
[Ch.7] Turbulence: basics; models for Reynolds stress |
|
第16週 |
12/31 |
Turbulent BL; law of the wall; energy cascade; Komolgorov theory |