|
週次 |
日期 |
單元主題 |
|
第1週 |
9/16 |
Chap1. Introduction
1.1 general concepts; 1.2 index notation
Chap2. Laws of fluid mechanics
2.1 method of description; 2.2 conservation of mass, momentum, and energy; 2.3 types of motion |
|
第2週 |
9/23 |
2.3 type of motion; 2.4(?) Reynolds transport theory
|
|
第3週 |
9/30 |
2.5 Constitutive law for Newtonian fluid; N-S eqn; molecular aspect of continuum viscosity;
*Ref book on continuum mechanics |
|
第4週 |
10/07 |
3.Analytic solution to NS equation; 3.1 In terms of u-v field (Couette-Poiseuille flows) |
|
第5週 |
10/14 |
Analytic solution in terms of u & v (Stokes 1st, 2nd problem; pulsating flows) |
|
第6週 |
10/21 |
4.1 Analytic solution in terms of streamfunction (plane stagnation flow) |
|
第7週 |
10/28 |
4.1 Analytic solution in terms of streamfunction (ex2 centrifugal flow due to a rotating disk); 4.2 vorticity equation |
|
第8週 |
11/04 |
4.2 Analytic solution in terms of vorticity; vortex dynamics |
|
第9週 |
11/11 |
Vortex dynamics continued; **Midterm: tentative schedule 11/13 Thr. night |
|
第10週 |
11/18 |
Non-Dimensionalization of NS eqn; Creeping flow (Low Re) equation |
|
第11週 |
11/25 |
Low Re flow--Stokes drag; lubrication theory |
|
第12週 |
12/02 |
Boundary layer equation; Blasius solution |
|
第13週 |
12/09 |
Karman integral equation; one-parameter Karman-Pohlhausen method |
|
第14週 |
12/16 |
BL equation Thwaite's method; Boundary layer type of flow--2D jet |
|
第15週 |
12/23 |
Solution with matched asymptotic method; separation mechanism; introduction of turbulence |
|
第16週 |
12/30 |
RANS equation; closure model (mixing length, k-epsilon; large eddy and DNS); energy cascade; kolmogorov length scale |
|
第17週 |
1/06 |
Kolmogorov 3/5 law; Viscous sublayer; law of the wall; comments on integral equation for turbulent BL |