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1202 Lecture 2

1202 Lecture 2 - MAE 1202 AEROSPACE PRACTICUM Lecture 2...

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1 MAE 1202: AEROSPACE PRACTICUM Lecture 2: Introduction to Basic Aerodynamics 1 January 23, 2012 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

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2 READING AND HOMEWORK ASSIGNMENTS Reading: Introduction to Flight , 6 th Edition, by John D. Anderson, Jr. For this week’s lecture: Chapter 4, Sections 4.1 - 4.9 For next week’s lecture: Chapter 4, Sections 4.10 - 4.21, 4.27 Lecture-Based Homework Assignment: Problems: 4.1, 4.2, 4.4, 4.5, 4.6, 4.8, 4.11, 4.15, 4.16 DUE: Friday, February 3, 2012 by 11am Turn in hard copy of homework Also be sure to review and be familiar with textbook examples in Chapter 4 Laboratory Week #3: More MATLAB Laboratory Assignment #2: Now Due February 3, 2012
3 ANSWERS TO LECTURE HOMEWORK 4.1: V 2 = 1.25 ft/s 4.2: p 2 -p 1 = 22.7 lb/ft 2 4.4: V 1 = 67 ft/s (or 46 MPH) 4.5: V 2 = 102.22 m/s Note: it takes a pressure difference of only 0.02 atm to produce such a high velocity 4.6: V 2 = 216.8 ft/s 4.8: T e = 155 K and ρ e = 2.26 kg/m 3 Note: you can also verify using equation of state 4.11: A e = 0.0061 ft 2 (or 0.88 in 2 ) 4.15: M = 0.847 4.16: V = 2,283 MPH Notes: Outline problem/strategy clearly – rewrite the question and discuss approach Include a brief comment on your answer, especially if different than above Write as neatly as you possibly can If you have any questions come to office hours or consult GSA’s

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4 REVIEW OF BASIC CONCEPTS Review: Introduction to Flight by Anderson Chapter 2: 2.1-2.7 Chapter 3: 3.1-3.5 Be sure that you are familiar with example problems
5 REVIEW OF BASIC DEFINITIONS (2.1-2.3) Streamline (2.1) Set of points that form a line that is everywhere tangent to local velocity vector No flow across streamlines For a steady flow, moving fluid element traces out a fixed path in space Stream tube A set of streamlines that intersect a closed loop in space Steady Flow : A flow that does not fluctuate with time (all flows in MAE 1202) Unsteady Flow : A flow that varies with time Equation of State for a Perfect Gas (2.3), applies at a point Ideal Gas Law : p = ρ RT or pv = RT (v = 1/ ρ ) R universal = 8,314 J/kg mole K R for air = 8,314 / 28.96 = 287 J/kg K (or 1,716 ft lb / slug R ) If you do not remember these concepts review Section 2.1-2.3

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6 EXAMPLE: STREAMLINES AND STREAM TUBES IN STEADY FLOW Streamlines Stagnation Point
7 HARRIER INSTANTANEOUS STREAMLINES

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8 WATER STREAMLINES ON F-16 MODEL http://www.aerolab.com/water.html
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