課號：522 M2840
班次：
主授教授：伍次寅
學分： 3
課程名稱：理想流體力學
教課書： (1) `Principles of Ideal-Fluid Aerodynamics`,
K. Karamcheti, 1966, Wiley.

(2) `Fundamental Mechanics of Fluids`, 2nd ed.
I. G. Currie, 1993, McGraw-Hill.

課程大綱：

0. Ideal-Fluid Flows:
Definition, justification

1. Mathematical Tools:
Tensors, gradient, divergence, curl, orthogonal curvilinear coordinates, Green`s & Stokes` theorems, stress & rate-of-strain, deformation tensor, rate-of-strain tensor & rotation tensor

2. Equations of the Motion of an Ideal Fluid:
Lagrangian & Eulerian descriptions, Reynolds transport theorem, differential equations, boundary conditions

3. Kinematics & Dynamics of Ideal-Fluid Motions:
Streamlines & vorticity lines, circulation and vorticity, stream functions & potential functions, Bernoulli equation, Kelvin`s circulation theorem, vorticity equation

4. General Properties of Irrotational Motions:
Equation of an irrotational motion, boundary conditions, fundamental solution and Green`s theorem, irrotational motion and circulation, properties of irrotational motions, Biot-Savart law, velocity field induced by vorticity

5. Two-Dimensional Potential Flows:
Review of complex-variable theory, complex potential, elementary 2-D potential flows, superposition, flow past a circular cylinder, force & moment on cylinders, Blasius theorem, Kutta-Joukowski theorem, conformal mappings, Joukowski airfoils, Kutta condition, Schwarz-Christoffel transformation for channel flows

6. Thin-airfoil theory:
Thin-airfoil approximations, distributed source/sink vortex solution, aerodynamic characteristics of a thin airfoil

7. Three-Dimensional Potential Flows:
Elementary 3-D potential flows, flow past a sphere, force exerted on a 3-D body with uniform & nonuniform translating motions, kinetic energy and apparent mass tensor

8. Slender-body flows:
Perturbation formulation, slender-body theory, solution to slender-body flows


成績評量方式：
1. 期中考 1 佔 50%
2. 期末考 佔 50%
3. 作業(指定但不予評分)