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Aero Engineering 315 Lesson 27 Gliding and Climbing Flight.

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1 Aero Engineering 315 Lesson 27 Gliding and Climbing Flight

2 Lesson Objectives  Write Equations of Motion for power-off glide  Calculate glide angle, glide range, sink rate, velocity for min sink and velocity for max glide range given T-38 charts or a drag polar Know points where min sink and max glide range occur  State situations appropriate to fly at above speeds  Write Equations of Motion for steady climb  Calculate climb angle, ROC, Max AOC, and Max ROC given T-38 chart or drag polar Know points where max AOC and ROC occur Find the velocities for max AOC and ROC  State situations appropriate to fly at above speeds  Define absolute, service and combat ceilings

3 When Max Excess Thrust = 0

4 Climbs and glides summary Gliding Flight  Glide angle  Glide range  Sink rate Climbing Flight  Climb angle  Climb rate  Ceilings Results in just six separate parameters to determine

5

6 T-38 Example Given: W = 8,000 lbs h = 10,000 ft Find:R MAX

7 T-38 Example Given: W = 8,000 lbs h = 10,000 ft Find: ROD MIN

8 T-37 drag polar example  C D = 0.02 + 0.057 C L 2  S = 184 ft 2  W = 6,000 lbs  H  sea level  Find (L/D) max P R min

9

10 T-38 Example Given: W = 12,000 lbs h = Sea Level Find:  MAX

11 T-38 Example Given: W = 12,000 lbs h = Sea Level Find: ROC MAX

12 T-38 Ceiling What happens to T A - T R as we go higher?

13 Ceilings Based on maximum climb rates  Absolute Ceiling = 0 ft/min ROC  Service Ceiling = 100 ft/min ROC  Cruise Ceiling = 300 ft/min ROC  Combat Ceiling = 500 ft/min ROC

14 Performance Summary (text p. 173) *for typical non-afterburning turbojet aircraft

15 Performance Summary RelationshipBest Case Relation between Induced and Parasite Drag for best case Graphical relation for best case Max Climb Angle C Do = kC L 2 - Minimum from T R curve - Tangent point on a line from origin to P R curve Max Climb RateNo set relation - Draw a line parallel to P A curve, and move it down till it is tangent to P R curve Breguet (5.28) or Avg Value (5.27) Max Jet Powered Range C Do = 3kC L 2 - Tangent point on a line from origin to T R curve Breguet (5.26) or Avg Value (5.24) Max Jet Powered Endurance C Do = kC L 2 - Minimum from T R curve - Tangent point on a line from origin to P R curve R = h (L/D) Best Glide Range (angle) C Do = kC L 2 - Minimum from T R curve - Tangent point on a line from origin to P R curve Best Glide Endurance (min sink) 3C Do = kC L 2 - Minimum from the P R curve Climbing Cruise Glides

16 Next Lesson (T28)…  Prior to class Read text 5.9.1-5.9.2, 5.9.5-5.9.7 Complete homework problems #31 and 32 Complete FDP parts a, b, i, j, k, l, r  In class Discuss Cruise Range and Endurance

17 Fighter Design Project


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