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Last updated:

November 16, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

The major focus of 16.13 is on boundary layers, and boundary layer theory

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 Curriculum

    • Course Description. Fundamental Theorem of Kinematics – Convection, Vorticity, Strain Unlimited
    • Eulerian vs. Langrangian Description. Convection Relations. Unlimited
    • 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
    • ODE’S, PDE’s, and Boundary Conditions. Well-Posedness. Unlimited
    • Numerical Methods for ODE’s. Discretization. Stability. Unlimited
    • Finite Difference Methods. Newton-Raphson. Unlimited
    • Integral Methods. Integral Momentum Equation. Thwaites’ Method. Unlimited
    • Integral Kinetic Energy Equation. Dissipation Methods. 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
    • Small-Perturbation Theory. Orr-Sommerfeld Equation. Unlimited
    • Small-Perturbation Theory. Orr-Sommerfeld Equation. (cont.) Unlimited
    • Boundary Conditions, Homogeneity, Solution Techniques. Unlimited
    • Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods. 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
    • Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy Unlimited
    • Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (cont.) Unlimited
    • Approximate Temperature Profile. Reynolds Heat Flux. 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

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Massachusetts Institute of Technology