Dr. Van Dommelen's Lecture Notes
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082817 Continuum approximation. Knudsen number.
083017 Lagrangian description. The Euler equations.
090617 Material derivative. Velocity derivative tensor.
091817 Decomposition of local motion
092017 Finding principal strains and axes.
092217 Finish principal strains. Vortex flow.
092517 Continuity Equation. Fluid segment rotation. Cause of viscosity.
092717 Viscosity. Stress tensor. Symmetry.
092917 Stress on any surface. Newtonian stress tensor.
100217 Navier-Stokes equations.
100417 Hydrostatics. Kinetic pressure. Boundary conditions.
100617 Energy equation. Second law.
100917 Cylindrical/spherical unit vectors. Control volumes.
101117 Control volumes. Mass and momentum consrvation.
101317 Surface forces. Pipe contraction.
101617 Control volume analysis of drag. Displacement thickness.
101817 Momentum thickness. Idea of the Finite Volume method.
102017 Finite volume method. Flow through a duct.
102317 Streamline curvature and pressure. Unidirectional flow.
102517 Plane Poiseuille flow.
102717 Head loss.
110317 Stokes second problem.
110617 Kelvin and Kutta-Joukowski theorems.
110817 Stokes theorem. Irrotational flow. Vortex tubes.
111317 Potential flow and its Bernoulli law. Ideal flow around a cylinder.
111517 Streamfunction. Complex variables.
111717 Complex varables. Simple flows. Superposition.
112017 Conformal mapping. Flat plate and Joukowski airfoils. Schwarz-Christoffel.
112717 Boundary layer coordinates. Boundary layer equations.
112917 Blasius semi-infinite flat plate boundary layer.
120117 Blasius solution. Wall shear. Displacement thickness.
120417 Transition. Turbulence.
Reynolds decomposition.
120617 Mixing length. Kolmogorov scales. Inertial range. Shear layers, jets, and wakes.
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