Fluid Mechanics

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Instructor

Prof. Mark Drela

Learning Objectives

16.01-16.04 Fluid Mechanics (PDF)

Textbooks

Anderson, John D. Fundamentals of Aerodynamics. 3rd ed. New York, NY: McGraw-Hill, 2001. ISBN: 0072373350.

Table Organization

16.01-16.02


Lec # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
F1 Introductory Concepts (PDF) F1-F11 Concept Questions (PDF) (PDF) Anderson. Sections 1.1 (optional), 1.2-1.4. Problem F1 (PDF)

Solution F1 (PDF)#

Survey Results (PDF)
F2 Hydrostatics (PDF) (PDF) Anderson. Section 1.9.
F3 Aerodynamic Forces and Moments (PDF) (PDF) Anderson. Sections 1.5-1.6. Problem F3 (PDF)

Solution F3 (PDF)#
F4 Dimensional Analysis and Similarity (PDF) (PDF) Anderson. Section 1.7. Problem F4 (PDF)

Solution F4 (PDF)#
F5 Reynolds and Mach Number (PDF) (PDF) Anderson. Sections 1.10, 1.11. Problem F5 (PDF)

Solution F5 (PDF)#
F6 Control Volume, Mass Conservation (PDF) (PDF) Anderson. Sections 2.3-2.4. Problem F6 (PDF)

Solution F6 (PDF)#
F7 Momentum Conservation (PDF) (PDF) Anderson. Section 2.5. Problem F7 (PDF)

Solution F7 (PDF)#
Math Review Div, Curl Review (Gauss, Stokes Theorems) (PDF)

Grad Review (Gradient Theorem) (PDF)
F8 Streamlines, Pathlines, Streaklines (PDF) (PDF) Anderson. Section 2.11. Problem F8 (PDF)

Solution F8 (PDF)#
F9 Momentum Integral Applications (PDF) (PDF) Anderson. Section 2.6.
F10 Substantial Derivative (PDF) (PDF) Anderson. Sections 2.9-2.10. Problem F10 (PDF)

Solution F10 (PDF)#
F11 Vorticity and Circulation (PDF) (PDF) Anderson. Sections 2.12-2.13. Problem F11 (PDF)

Solution F11 (PDF)#
F12 Stream Function and Velocity Potential (PDF) F12-F17 Concept Questions (PDF) (PDF) Anderson. Sections 2.14-2.15. Problem F12 (PDF)

Solution F12 (PDF)#
F13 Bernoulli's Equation (PDF) (PDF)# Anderson. Sections 3.2-3.3. Problem F13 (PDF)

Solution F13 (PDF)#
F14 Incompressible and Irrotational Flows (PDF)# (PDF) Anderson. Section 3.7. Problem F14 (PDF)

Solution F14 (PDF)#
F15 Sources, Sinks and Doublets (PDF) (PDF) Anderson. Sections 3.9-3.12.
F16 Vortex, Lifting Flow (PDF) (PDF) Anderson. Sections 3.14-3.16. Problem F16 (PDF)

Solution F16 (PDF)#
F17 Flowfield Prediction (PDF) (PDF)# Anderson. Section 3.17. Problem F17 (PDF)

Solution F17 (PDF)#
F18 Lift Prediction, Vortex Sheets (PDF) (PDF) Anderson. Section 3.17. Problem F18 (PDF)

Solution F18 (PDF)#
F19 Airfoils (PDF) (PDF) Anderson. Sections 4.1-4.3. Problem F19 (PDF)

Solution F19 (PDF)#
F20 Airfoils: Detailed Look (PDF) Anderson. Sections 3.1-3.3.

Airfoils and Airflow
Problem F20 (PDF)

Solution F20 (PDF)#
F21 Airfoil Polar Relations (PDF) (PDF) Problem F21 (PDF)

Solution F21 (PDF)#

16.03-16.04


LEC # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
F1 Formation of Lifting Flow (PDF) F1-F10 Concept Questions (PDF) (PDF) Anderson. Sections 4.5-4.6. Problem F1 (PDF)

Solution F1 (PDF)#
F2 Airfoil Vortex Sheet Models, Thin Airfoil Analysis Problem (PDF) (PDF) Anderson. Sections 4.4, 4.7. Problem F2 (PDF)

Solution F2 (PDF)#
F3 Thin Airfoil Analysis Problem (cont.) (PDF) (PDF) Anderson. Section 4.8. Problem F3 (PDF)

Solution F3 (PDF)#
F4 Thin Airfoil Theory Application: Analysis Example (PDF) (PDF) Anderson. Sections 4.8-4.9. Problem F4 (PDF)

Solution F4 (PDF)#
F5 Introduction to 3D Wings, 2D and 3D Coefficients (PDF) (PDF) Anderson. Section 5.1. Problem F5 (PDF)

Solution F5 (PDF)#
F6 3D Vortex Filaments, Lifting Line Theory (PDF)# (PDF) Anderson. Section 5.1. Problem F6 (PDF)

Solution F6 (PDF)#
F7 Elliptical Lift Distribution (PDF) (PDF) Anderson. Section 5.3.1. Problem F7 (PDF)

Solution F7 (PDF)#
F8 Wing Geometry, Wing Design Problem (PDF) (PDF) Anderson. Sections 5.3.2-5.3.3. Problem F8 (PDF)

Solution F8 (PDF)#
F9 General Wings (PDF) (PDF) Anderson. Sections 5.3.2-5.3.3. Problem F9 (PDF)

Solution F9 (PDF)#
F10 Aircraft Performance Analysis (PDF)

Drag Estimation Table (PDF)#
(PDF) Problem F10 (PDF)

Solution F10 (PDF)#
F11 Introduction to Compressible Flows, Thermodynamic Concepts (PDF) F11-F20 Concept Questions (PDF) (PDF) Anderson. Sections 7.1-7.2. Problem F11 (PDF)

Solution F11 (PDF)#
F12 Energy Conservation (PDF) (PDF) Anderson. Sections 2.7, 7.4-7.5. Problem F12 (PDF)

Solution F12 (PDF)#
F13 Stagnation Quantities, Introduction to Shock Waves (PDF) (PDF) Anderson. Sections 7.5-7.6. Problem F13 (PDF)

Solution F13 (PDF)#
F14 Normal Shock Waves, Speed of Sound (PDF) (PDF) Anderson. Sections 8.1-8.3. Problem F14 (PDF)

Solution F14 (PDF)#
F15 Mach Number Relations, Normal Shock Properties (PDF) (PDF) Anderson. Sections 8.4, 8.6. Problem F15 (PDF)

Solution F15 (PDF)#
F16 Shock Losses, Compressible Flow Pitot-Tube (PDF) Anderson. Sections 8.6-8.7. Problem F16 (PFD)

Solution F16 (PDF)#
F17 Oblique Shocks (PDF) (PDF) Anderson. Sections 9.1-9.2. Problem F17 (PDF)

Solution F17 (PDF)#
F18 Prandtl-Meyer Waves, Shock Expansion Theory (PDF) (PDF) Anderson. Sections 9.6-9.7. Problem F18 (PDF)

Solution F18 (PDF)#
F19 Compressible Channel Flow (PDF) (PDF) Anderson. Sections 10.1-10.2. Problem F19 (PDF)

Solution F19 (PDF)#
F20 Laval Nozzle Flows (PDF) (PDF) Anderson. Section 10.3. Problem F20 (PDF)

Solution F20 (PDF)#