AE-705: Introduction to Flight Level Turn & Pull-up Maneuver Udit Vohra Aerospace Engineering Department PEC University of Technology, Chandigarh AE-705 Introduction to Flight Lecture No 14 Capsule-07
LAYOUT • Coordinated Turn • Turning flight parameters • Fastest turn • Tightest turn • Turning in vertical plane AE-705 Introduction to Flight Lecture No 14 Capsule-07
Watch the video carefully LETS FLY IN A LOOP AE-705 Introduction to Flight Lecture No 14 Capsule-07
Watch the water level during the turn ! AE-705 Introduction to Flight Lecture No 14 Capsule-07
How do they do that ? COORDINATED TURN AE-705 Introduction to Flight Lecture No 14 Capsule-07
Coordinated Turn 1. Constant Altitude 2. Banking of the a/c in horizontal plane 3. No tangential acceleration 4. Turn without a sideslip 5. Coordination b/w Ailerons and Rudder Rudder for Use of Rudder in yaw and a turn … why ?? ailerons to roll we will see that later on AE-705 Introduction to Flight Lecture No 14 Capsule-07
skid UNCOORDINATED TURN AE-705 Introduction to Flight Lecture No 14 Capsule-07
Adverse Yaw The reason why we use rudder in a turn http://www.boldmethod.com/learn-to-fly/aerodynamics/the-aerodynamics-of-a-turn-in-an-airplane/ AE-705 Introduction to Flight Lecture No 14 Capsule-07
TURNING FLIGHT EQUATIONS AE-705 Introduction to Flight Lecture No 14 Capsule-07
Equations of motion L ϕ LCos ϕ = W ----(1) mV 2 LSin ϕ = ----(2) R ϕ (2) / (1) W V 2 Tan ϕ = Rg L n = W ( load factor) n = 1 Cosϕ = Sec ϕ AE-705 Introduction to Flight Lecture No 14 Capsule-07
Turning Flight Parameters Load Factor (n) L n = W Depends on aircraft design parameters Banking Angle Represented in g’s Φ = Cos −1 ( 1 n) Related to turn rate Steady coordinated turn is not possible without banking the a/c AE-705 Introduction to Flight Lecture No 14 Capsule-07
turn radius Turn Radius mV 2 W V 2 R = g R = R W n 2 − 1 V 2 R = R g n 2 −1 depends on V and n AE-705 Introduction to Flight Lecture No 14 Capsule-07
Turn rate Turn Rate ω ω dθ V ω = dt = R Degrees travelled per sec Similar to Angular Velocity g n 2 −1 ω = V depends on V and n AE-705 Introduction to Flight Lecture No 14 Capsule-07
Effect of bank angle Bank angle in a turn results in: Higher rate of turn • Smaller radius of turn • Higher loading on the wings • Higher stall speed • Pilot’s Handbook of Aeronautical Knowledge AE-705 Introduction to Flight Lecture No 14 Capsule-07
Fastest turn • Max. turn rate • Measure of a/c’s maneuverability • Depends on a/c design parameters V should be min n should be max Sustained turn rate when Thrust/weight • Wing loading • Aspect Ratio • AE-705 Introduction to Flight Lecture No 14 Capsule-07
Tightest turn • Min turn radius • Measure of maneuverability What is V min and n max ?? What are constraints on n max • Depends on design parameters Find out yourself ! Report on Moodle V should be min n should be max Instantaneous turn rate when • Thrust/weight • Wing loading • Altitude AE-705 Introduction to Flight Lecture No 14 Capsule-07
Continue.. http://people.clarkson.edu/~pmarzocc/AE429/AE-429-12.pdf AE-705 Introduction to Flight Lecture No 14 Capsule-07
http://people.clarkson.edu/~pmarzocc/AE429/AE-429-12.pdf AE-705 Introduction to Flight Lecture No 14 Capsule-07
Instantaneous & Sustained turn Dogfight are generally dependent on rate of turn • Aircraft which can turn faster will get into an • advantageous firing position quickly ITR is a measure of how quickly an aircraft is able to turn at the beginning of the turn The turn rate which can be maintained for a period of time is called the STR (Sustained turn rate) AE-705 Introduction to Flight Lecture No 14 Capsule-07
Tejas vs. F-16 Which one is better and how? What do you think ? v/s AE-705 Introduction to Flight Lecture No 14 Capsule-07
Continued.. Depends on wing loading & Thrust to weight ratio Tejas wing loading : 247 kg/m² F-16C Block 50 wing loading : 431 kg/m² Lesser the wing loading more will be the ITR https://www.quora.com/search?q=instantaneous+turn+of+an+aircraft AE-705 Introduction to Flight Lecture No 14 Capsule-07
http://thebetacoefficient.blogspot.in/2015/04/lca-tejas-versus-f-16-in-combat-part-i.html At horizontal plane STR, ITR > STR the LCA outperforms the F-16A/B at high Mach numbers and the F-16C/D under all Mach number regimes. AE-705 Introduction to Flight Lecture No 14 Capsule-07
Tejas v/s F-16 T:W is favorable for the F16, though the difference is smaller (1.09 v/s 1.07 ) STR of F-16 > Tejas at slower speeds (< M = 0.65) Tejas dominates at speeds greater than 0.65 Dogfights generally happen at M > 0.65 • @ M < 0.65 Tejas = F-16 • AE-705 Introduction to Flight Lecture No 14 Capsule-07
Outcome of a dog-fight is difficult to predict because it depends on • the pilot, • the initial positions of the aircraft • the aircraft specs. Made in INDIA Tejas will dominate the F-16 in a majority of engagements based on the aerodynamic characteristics AE-705 Introduction to Flight Lecture No 14 Capsule-07
Source: https://giphy.com/ TURNING IN VERTICAL PLANE AE-705 Introduction to Flight Lecture No 14 Capsule-07
Turning in Vertical plane Aerobatic and combat a/c maneuvers • Required during takeoff and landing • AE-705 Introduction to Flight Lecture No 14 Capsule-07
Pull-Up Maneuver Flight along a curved path with altitude increasing F r = L – W = W( n - 1) V 2 F r = m R V 2 R = g(n−1) g(n−1) ω = V AE-705 Introduction to Flight Lecture No 14 Capsule-07
Dive Pullout Part of descent flight During this nose-down attitude, • the AOA and the airspeed The smooth flow of air over the • wing begins again, lift returns, and the aircraft begins to fly again. pilot_handbook_2016.pdf AE-705 Introduction to Flight Lecture No 14 Capsule-07
Team Assignment No 4 Design and Fabrication of a Glider AE-705 Introduction to Flight Lecture No 14 Capsule-07
Glider Design Competition Design a Glider for max. Range & Endurance Launch from third floor of Foyer in LHC No limit on material, or dimensions Best of two launches for each Team Technical Report to be submitted Relative Scoring Scheme (to be announced) AE-705 Introduction to Flight Lecture No 14 Capsule-07
Location of the Competition AE-705 Introduction to Flight Lecture No 14 Capsule-07
Example AE-705 Introduction to Flight Lecture No 14 Capsule-07
Professional flyers How do birds turn during a flight ? No vertical tail No Ailerons Aerodynamics of Avian Flight AE-705 Introduction to Flight Lecture No 14 Capsule-07
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