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The major focus of 16.13 is on boundary layers, and boundary layer theory
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Description
subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.
Course content
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- Course Description. Fundamental Theorem of Kinematics – Convection, Vorticity, Strain Unlimited
- Eulerian vs. Langrangian Description. Convection Relations. Unlimited
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- Conservation of Mass. Conservation of Momentum. Stress Tensor. Unlimited
- Viscosity. Newtonian Fluids. Vorticity and Circulation. Unlimited
- Navier-Stokes Equations. Physical Parameters. Dynamic Similarity. Unlimited
- Dimensional Analysis. Dominant Balance and Viscous Flow Classification. Unlimited
- _Re_→∞ Behavior. Thin Shear Layer Equations. TSL coordinates. Unlimited
- TSL Coordinates. Boundary Conditions. Shear Layer Categories. Unlimited
- Local Scaling. Falkner-Skan Flows. Unlimited
- Asymptotic Perturbation Theory – Higher-Order Effects. Unlimited
- 2D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms. Unlimited
- IBLT Solution Techniques. Iteration Stability. Unlimited
- Fully-Coupled Iteration. 3-D IBLT. Unlimited
- Reynolds Averaging. Prandtl’s Analogy. Unlimited
- Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. Unlimited
- Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (cont.) Unlimited
- Equilibrium BL’s: Clauser Hypothesis. Dissipation Formulas and Integral Closure Unlimited
- Equilibrium BL’s: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.) Unlimited
- Turbulence Modeling and Closure. Algebraic Models. Transport Models Unlimited
- New Effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations. Unlimited
- Coordinate Systems. Characteristics, BC’s, and Well-Posedness. Unlimited
- 3D Characteristics, BC’s. Quasi-3D: Constant-Crossflow Approximation. Unlimited
- 3D Characteristics, BC’s. Quasi-3D: Constant-Crossflow Approximation. (cont.) Unlimited
- 3D Stability Theory. 3D Transition Mechanisms Unlimited
Instructor
Massachusetts Institute of Technology
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