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Fluid Mechanics

Instructor

Prof. Mark Drela

Learning Objectives

16.01-16.04 Fluid Mechanics (PDF)

Textbooks

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

Table Organization

LEC # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
16.01-16.02, FALL 2003
Week 8
F1 Introductory Concepts and Definitions, Properties of Fluids (PDF) F1-F11 Concept Questions (PDF) F1 Mud (PDF) Anderson, sec. (1.1), 1.2-1.4 Problem F1 (PDF)
Solution F1 (PDF)
Survey Results (PDF)
F2 Hydrostatic Equation, Manometer, Buoyancy Force (PDF) F2 Mud (PDF) Anderson, sec. 1.9
Week 9
F3 2-D Aerodynamics Forces and Moments, Center of Pressure, Nondimensional Coefficients (PDF) F3 Mud (PDF) Anderson, sec. 1.5-1.6 Problem F3 (PDF)
Solution F3 (PDF)
F4 Dimensional Analysis – Buckingham Pi Theorem, Dynamic Similarity – Mach and Reynolds Numbers (PDF) F4 Mud (PDF) Anderson, sec. 1.7 Problem F4 (PDF)
Solution F4 (PDF)
F5 Effects of Reynolds Number, Effects of Mach Number (PDF) F5 Mud (PDF) Anderson, sec. 1.7 Problem F5 (PDF)
Solution F5 (PDF)
F6 Control Volumes, Mass Conservation, Control Volume Applications (PDF) F6 Mud (PDF) Anderson, sec. 2.3-2.4 Problem F6 (PDF)
Solution F6 (PDF)
Week 10
F7 Streamlines, Pathlines, Streaklines (PDF) F7 Mud (PDF) Anderson, sec. 2.11 Problem F7 (PDF)
Solution F7 (PDF)
F8 Momentum Flow, Momentum Conservation (PDF) F8 Mud (PDF) Anderson, sec. 2.5 Problem F8 (PDF)
Solution F8 (PDF)
F9 Momentum-Integral Simplifications, Applications (PDF) F9 Mud (PDF) Anderson, sec. 2.6
Week 11
F10 Substantial Derivative, Recast Governing Equations (PDF) F10 Mud (PDF) Anderson, sec. 2.9-2.10 Problem F10 (PDF)
Solution F10 (PDF)
F11 Vorticity and Strain Rate, Circulation (PDF) F11 Mud (PDF) Anderson, sec. 2.12-2.13 Problem F11 (PDF)
Solution F11 (PDF)
Week 12
F12 Stream Function, Velocity Potential (PDF) F12-F17 Concept Questions (PDF) F12 Mud (PDF) Anderson, sec. 2.14-2.15 Problem F12 (PDF)
Solution F12 (PDF)
F13 Bernoulli Equation, Venturi Flow (PDF) F13 Mud (PDF) Anderson, sec. 3.2-3.3 Problem F13 (PDF)
Solution F13 (PDF)
F14 Bernoulli Equation, Venturi Flow (cont.) Problem F14 (PDF)
Solution F14 (PDF)
F15 Quiz Discussion
Week 13
F16 Helmholtz Equation, Incompressible Irrotational Flows (PDF) F16 Mud (PDF) Anderson, sec. 3.7 Problem F16 (PDF)
Solution F16 (PDF)
F17 Uniform Flow, Sources, Sinks, Doublets (PDF) F17 Mud (PDF) Anderson, sec. 3.9-3.12 Problem F17 (PDF)
Solution F17 (PDF)
Week 14
F18 Vortex, Lifting Flow about Circular Cylinder (PDF) F18 Mud (PDF) Anderson, sec. 3.14-3.16 Problem F18 (PDF)
Solution F18 (PDF)
F19 Flowfield Prediction, Source and Vortex Sheets (PDF) F19 Mud (PDF) Anderson, sec. 3.17 Problem F19 (PDF)
Solution F19 (PDF)
F20 Prediction of Lift, Vortex Sheets (PDF) F20 Mud (PDF) Anderson, sec. 3.17 Problem F20 (PDF)
Solution F20 (PDF)
F21 Airfoils - Overview (PDF) F21 Mud (PDF) Anderson, sec. 4.1-4.3 Problem F21 (PDF)
Solution F21 (PDF)
Week 15
F22 Airfoils - Detailed Look (PDF) Problem F22 (PDF)
Solution F22 (PDF)
F23 Airfoil Polar Relations (PDF) F23 Mud (PDF)
16.03-16.04, SPRING 2004
Week 1
F1
Formation of Lifting Flow (PDF)
F1-F10 Concept Questions (PDF) F1 Mud (PDF) Anderson, sec. 4.5-4.6 Problem F1 (PDF)
Solution F1 (PDF)
F2
Airfoil Vortex Sheet Models, Thin Airfoil Analysis Problem (PDF)
F2 Mud (PDF) Anderson, sec. 4.4, 4.7 Problem F2 (PDF)
Solution F2 (PDF)
F3
Thin Airfoil Analysis Problem (cont.) (PDF)
F3 Mud (PDF) Anderson, sec. 4.8 Problem F3 (PDF)
Solution F3 (PDF)
Week 2
F4
Thin Airfoil Theory Application: Analysis Example (PDF)
F4 Mud (PDF) Anderson, sec. 4.8-4.9 Problem F4 (PDF)
Solution F4 (PDF)
F5
Introduction to 3D Wings, 2D and 3D Coefficients (PDF)
F5 Mud (PDF)

Anderson, sec. 5.1

Problem F5 (PDF)
Solution F5 (PDF)
F6
3D Vortex Filaments, Lifting Line Theory (PDF)
F6 Mud (PDF)

Anderson, sec. 5.1

Problem F6 (PDF)
Solution F6 (PDF)
F7
Elliptical Lift Distribution (PDF)
F7 Mud (PDF) Anderson, sec. 5.3.1 Problem F7 (PDF)
Solution F7 (PDF)
Week 3
F8
Wing Geometry, Wing Design Problem (PDF)
F8 Mud (PDF) Anderson, sec. 5.3.2-5.3.3 Problem F8 (PDF)
Solution F8 (PDF)
F9
General Wings (PDF)
F9 Mud (PDF) Anderson, sec. 5.3.2-5.3.3 Problem F9 (PDF)
Solution F9 (PDF)
F10
Aircraft Performance Analysis (PDF)
F10 Mud (PDF) Problem F10 (PDF)
Solution F10 (PDF)
F11
Introduction to Compressible Flows, Thermodynamic Concepts (PDF)
F11-F20 Concept Questions (PDF) F11 Mud (PDF) Anderson, sec. 7.1-7.2 Problem F11 (PDF)
Solution F11 (PDF)
Week 4
F12
Energy Conservation (PDF)
F12 Mud (PDF) Anderson, sec. 2.7, 7.4-7.5 Problem F12 (PDF)
Solution F12 (PDF)
F13
Stagnation Quantities, Introduction to Shock Waves (PDF)
F13 Mud (PDF) Anderson, sec. 7.5-7.6 Problem F13 (PDF)
Solution F13 (PDF)
F14
Normal Shock Waves, Speed of Sound (PDF)
F14 Mud (PDF) Anderson, sec. 8.1-8.3 Problem F14 (PDF)
Solution F14 (PDF)
Week 5
F15
Mach Number Relations, Normal Shock Properties (PDF)
F15 Mud (PDF) Anderson, sec. 8.4, 8.6 Problem F15 (PDF)
Solution F15 (PDF)
F16
Shock Losses, Compressible Flow Pitot-Tube (PDF)
Anderson, sec. 8.6-8.7 Problem F16 (PFD)
Solution F16 (PDF)
Exam Review
Week 6
F17
Oblique Shocks (PDF)
F17 Mud (PDF) Anderson, sec. 9.1-9.2 Problem F17 (PDF)
Solution F17 (PDF)
F18
Prandtl-Meyer Waves, Shock Expansion Theory (PDF)
F18 Mud (PDF) Anderson, sec. 9.6-9.7 Problem F18 (PDF)
Solution F18 (PDF)
F19
Compressible Channel Flow (PDF)
F19 Mud (PDF) Anderson, sec. 10.1-10.2 Problem F19 (PDF)
Solution F19 (PDF)
Week 7
F20
Laval Nozzle Flows (PDF)
F20 Mud (PDF)
Anderson, sec. 10.3
Problem F20 (PDF)
Solution F20 (PDF)