Dr. Van Dommelen's Lecture Notes
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
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