1202 Lecture 3

1202 Lecture 3 - MAE 1202: AEROSPACE PRACTICUM Lecture 3:...

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1 MAE 1202: AEROSPACE PRACTICUM Lecture 3: Introduction to Basic Aerodynamics 2 January 30, 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 , by John D. Anderson, Jr. For this week’s lecture: Chapter 4, Sections 4.10 - 4.21, 4.27 For next week’s lecture: Chapter 5, Sections 5.1 - 5.7, 5.13, 5.14, 5.16, 5.17 Lecture-Based Homework Assignment: Problems: 4.7, 4.11, 4.18, 4.19, 4.20, 4.23, 4.27 DUE: Friday , February 10, 2012 Turn in hard copy of homework Also be sure to review and be familiar with textbook examples in Chapter 4
3 ANSWERS TO LECTURE HOMEWORK 4.7: p 1 -p 2 = 3,423 N/m 2 Note that in reality the airplane will most likely exceed 90 m/s in a dive, so the airspeed indicator should be designed for a maximum velocity above 90 m/s 4.11: A e = 0.0061 ft 2 (0.88 in 2 ) 4.18: h = 2.81 cm 4.19: (a) p 1 -p 2 = 98.15 lb/f 2 , (b) p 1 -p 3 = 0.959 lb/ft 2 Note that by the addition of a diffuser, the required pressure difference was reduced by an order of magnitude. Since it costs money to produce a pressure difference (say by running compressors or vacuum pumps), then a diffuser, the purpose of which is to improve the aerodynamic efficiency, allows the wind tunnel to be operated more economically 4.20: p 0 = 2,172 lb/ft 2 4.23: p 0 = 1.486x10 5 N/m 2 Make sure you understand the difference between this problem and 4.20. In problem 4.23, the Bernoulli Equation is NOT valid because the flow is compressible, so isentropic relations must be employed. 4.27: p 02 = 1.49x10 5 N/m 2 Comments: Include a brief comment on your answer, especially if different than above If you have any questions come to office hours

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4 3 FUNDAMENTAL PRINCIPLES 1. Mass is neither created nor destroyed (mass is conserved) Conservation of Mass Often called Continuity 1. Force = Mass x Acceleration ( F = m a ) Newton’s Second Law Momentum Equation Bernoulli’s Equation , Euler Equation, Navier-Stokes Equation 1. Energy Is Conserved Energy neither created nor destroyed; can only change physical form Energy Equation (1 st Law of Thermodynamics) How do we express these statements mathematically?
SUMMARY OF GOVERNING EQUATIONS (4.8) STEADY AND INVISCID FLOW 2 2 2 2 1 1 2 2 1 1 2 1 2 1 V p V p V A V A ρ + = + = ( 29 2 2 2 1 1 1 2 2 2 2 1 1 1 2 1 2 1 2 1 2 2 2 1 1 1 2 1 2 1 RT p RT p V T c V T c T T p p V A V A p p γ = = + = + = = = - Incompressible flow of fluid along a streamline or in a stream tube of varying area Most important variables: p and V T and ρ are constants throughout flow Compressible , isentropic ρ , and V are all variables continuity Bernoulli continuity isentropic energy equation of state at any point

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This note was uploaded on 02/11/2012 for the course MAE 1202 taught by Professor Kirk during the Spring '12 term at FIT.

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1202 Lecture 3 - MAE 1202: AEROSPACE PRACTICUM Lecture 3:...

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