| 082514 Fundamental concepts. Continuum assumption. |
| 082714 Vectors and matrices. Stress tensor. |
| 082914 Tensor analysis. Diagonalization. |
| 090314 Deformation rate tensor. Incompressibility. |
| 090514 Constitutive Relation |
| 090814 Control masses. Integral conservation laws. Control volumes. |
| 091014 Control volumes, simple and non simple. |
| 091214 Control volumes. CV determination of drag. Momentum thickness. |
| 091514 Finite Volume method. |
| 091714 Boundary conditions. Pointwise continuity from FV. |
| 091914 Differential conservation laws. |
| 092214 Lagrangian/Eulerian. Flow lines. |
| 092414 Navier Stokes equations. Incompressible flow. Kinetic pressure. |
| 092614 Energy equations; conservative, mechanical, and thermal. The 2nd law. |
| 092914 Euler equations. Incompressible Navier-Stokes equations. Similarity. |
| 100114 Non-dimensional parameters. |
| 100314 Buckingham Pi Theorem. Stokes flow around a spher. |
| 100614 Exact solutions: plane Poiseuille flow. |
| 100814 Plane Poiseuille flow. Couette flow. |
| 101014 Poiseuille pipe flow. Elliptic and triangular pipes. |
| 101314 Midterm Review. Cylindrical and Spherical Coordinates. |
| 101514 Centripetal acceleration. Bernoulli laws. Major head loss. |
| 101714 Minor head losses. Entrance effects. Normal pressure gradients. |
| Head loss.
[PDF] |
| 102414 Midterm discussion. Stokes first problem. |
| Stokes' first problem.
[PDF] |
| 102714 Stokes 1st problem. Similarity solutions. Oseen vortex. |
| 103114 Kelvin, Kutta-Joukowski, Stokes theorems. Vortex intensification. Preservation of irrotational flow. |
| 110314 Helmholtz laws. Vortex system of a wing. |
| 110514 Biot-Savart. Vortex motion. Induced drag. |
| 110714 Ideal flows. Velocity potential.
Streamfunction. [PDF] |
| 111014 Circular cylinder potential. Interpretation of the streamfunction. Potential flow Bernoulli law. |
| 111214 Complex potential. Uniform flow. Source/Sink. |
| Vortex. Shifts. Superposition and
Magnus effect. Corners. |
| 111714 Superposition. 2D Rankine bodies. Conformal mapping. Plates, ellipses, Joukowski airfoils. Kutta condition. |
| 111914 Boundary layer variables, equations, boundary conditions. |
| 112114 Blasius boundary layer for a semi-infinite flush plate. |
| 112414 Boundary layer thicknesses. Displacement effect. Separation. |
| 120114 Review. Kelvin-Helmholtz instability. |
| 120314 Reynolds average. Reynold stress. Energy cascade. Kolmogorov scales. PDF |
| 120514 Inertial range. Free shear flows. (Wall bounded flows in the linked notes.) PDF |