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Browse materialsMIT 16.13 · Fall 2003

Aerodynamics of Viscous Fluids

Art: Ottomar Anschütz, Lilienthal im unruhigen Gleitflug, 1894 · Public domain

Instructors: Prof. Mark Drela, Dr. Ali Merchant
Term: Fall 2003
Level: Graduate
What's inside: 1 lecture note · 1 reading · 71 other files · 3 web pages
Materials open: MIT OCW

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Source: MIT OpenCourseWare 16.13 Aerodynamics of Viscous Fluids, Fall 2003, Prof. Mark Drela, Dr. Ali Merchant — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

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Lecture Notes

52 files

Assignments

14 files

Other materials from this course

MIT OpenCourseWare, Prof. Mark Drela, Dr. Ali Merchant, 16.13 Aerodynamics of Viscous Fluids, Fall 2003.

License: CC BY-NC-SA 4.0 · Edition: Fall 2003 · Open the original course on OCW ↗

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Aerodynamics of Viscous Fluids

Before you start

What's here, and what isn't

Not included here

Materials by section

Lecture Notes

Assignments

Other materials from this course

Lecture 1: Course Description. Fundamental Theorem of Kinematics - Convection, Vorticity, Strain.

Lecture 2: Eulerian vs. Langrangian Description. Convection Relations.

Lecture 3: Conservation of Mass. Conservation of Momentum. Stress Tensor.

Lecture 4: Viscosity. Newtonian Fluids. Vorticity and Circulation

Lecture 5: Navier-Stokes Equations. Physical Parameters. Dynamic Similarity.

Lecture 6: Dimensional Analysis. Dominant Balance and Viscous Flow Classification.

Lecture 7: Re →∞ Behavior. Thin Shear Layer Equations. TSL Coordinates.

Lecture 8: TSL Coordinates. Boundary Conditions. Shear Layer Categories.

Lecture 9: Local Scaling. Falkner-Skan Flows.

Lecture 10: ODE’S, PDE’s, and Boundary Conditions. Well-posedness.

Lecture 11: Numerical Methods for ODE’s. Discretization. Stability.

Lecture 12: Finite Difference Methods. Newton-Raphson.

Lecture 13: Integral Methods. Integral Momentum Equation. Thwaites’ Method.

Lecture 14: Integral Kinetic Energy Equation. Dissipation Methods.

Lecture 15: Integral Kinetic Energy Equation. Dissipation Methods. (cont.)

Lecture 16: Asymptotic Perturbation Theory. Higher-Order Effects.

Lecture 17: 2D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms.

Lecture 18: IBLT Solution Techniques. Iteration Stability.

Lecture 19: Fully-coupled Iteration. 3-D IBLT.

Lecture 20: Small-perturbation Theory. Orr-Sommerfeld Equation.

Lecture 21: Small-perturbation Theory. Orr-Sommerfeld Equation. (cont.)

Lecture 22: Boundary Conditions, Homogeneity, Solution Techniques.

Lecture 23: Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods.

Lecture 24: Reynolds Averaging. Prandtl’s Analogy.

Lecture 25: Turbulent BL Structure: Wake, Wall layers. Inner, Outer Variables. Effects of Roughness.

Lecture 26: Turbulent BL Structure: Wake, Wall layers. Inner, Outer Variables. Effects of Roughness. (cont.)

Lecture 27: Equilibrium BL’s: Clauser Hypothesis. Dissipation Formulas and Integral Closure.

Lecture 28: Equilibrium BL’s: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.)

Lecture 29: Turbulence Modeling and Closure. Algebraic Models. Transport Models.

Lecture 30: Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy.

Lecture 32: New effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations.

Lecture 33: Coordinate Systems. Characteristics, BC’s, and Well-posedness.

Lecture 34: 3D Characteristics, BC’s. Quasi-3D: Constant-crossflow Approximation.

Lecture 35: 3D Characteristics, BC’s. Quasi-3D: Constant-crossflow Approximation.(cont.)

Lecture 36: 3D Stability Theory. 3D Transition Mechanisms.