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Aero Engineering 315
Lesson 27
Gliding and Climbing Flight
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
When Max Excess Thrust = 0
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
T-38 Example
Given:W = 8,000 lbsh = 10,000 ft
Find: RMAX
T-38 Example
Given: W = 8,000 lbs h = 10,000 ft
Find: RODMIN
T-37 drag polar example
CD = 0.02 + 0.057 CL2
S = 184 ft2
W = 6,000 lbs Hsea level Find
(L/D)max
PRmin
T-38 Example
Given:W = 12,000 lbsh = Sea Level
Find: MAX
T-38 Example
Given:W = 12,000 lbsh = Sea Level
Find: ROCMAX
T-38 Ceiling
What happens to TA - TR as we go higher?
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
Performance Summary(text p. 173)
*for typical non-afterburning turbojet aircraft
Performance SummaryRelationship Best Case Relation between
Induced and Parasite Drag for best case
Graphical relation for best case
Max Climb Angle CDo = kCL2 - Minimum from TR curve
- Tangent point on a line from origin to PR curve
Max Climb Rate No set relation - Draw a line parallel to PA curve, and move it down till it is tangent to PR curve
Breguet (5.28) or Avg Value (5.27)
Max Jet Powered Range
CDo = 3kCL2 - Tangent point on a line
from origin to TR curve
Breguet (5.26) or Avg Value (5.24)
Max Jet Powered Endurance
CDo = kCL2 - Minimum from TR curve
- Tangent point on a line from origin to PR curve
R = h (L/D)Best Glide Range (angle)
CDo = kCL2 - Minimum from TR curve
- Tangent point on a line from origin to PR curve
Best Glide Endurance (min sink)
3CDo = kCL2 - Minimum from the PR curve
)arcsin(W
DT
W
P
W
DTVCOR x
)(...
W
P
W
VDDOR R...
Climbing
Cruise
Glides
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
Fighter Design Project