HALE UAV:
HALE UAV:
AeroVironment
AeroVironment
Pathfinder
Pathfinder
Desta Alemayehu Elizabeth Eaton Imraan Faruque
Aerodynamic and Stability
Analysis
Case Study: Planform
Optimization
2
Pathfinder History
Pathfinder History
•
•
Designed and fabricated by
Designed and fabricated by
AeroVironment
AeroVironment
in 1981
in 1981
•
•
Determined technology insufficient to support
Determined technology insufficient to support
mutli
mutli
-
-
day
day
duration flights under solar power and Pathfinder was put into
duration flights under solar power and Pathfinder was put into
storage
storage
•
•
In 1993, brought back to flight by Ballistic Missile Defense
In 1993, brought back to flight by Ballistic Missile Defense
Organization
Organization
•
•
Transferred to NASA in 1994 to support Environmental
Transferred to NASA in 1994 to support Environmental
Research Aircraft and Sensor Technology (ERAST) program
Research Aircraft and Sensor Technology (ERAST) program
•
•
ERAST program demonstrated that a high AR, solar
ERAST program demonstrated that a high AR, solar
-
-
powered
powered
lightweight craft could take off and land at an airport and fly
lightweight craft could take off and land at an airport and fly
at extremely high altitudes (50
at extremely high altitudes (50
-
-
80K ft)
80K ft)
•
•
ERAST also determines feasibility of such
ERAST also determines feasibility of such
UAVs
UAVs
for carrying
for carrying
instruments used in scientific studies
instruments used in scientific studies
ERAST Milestones
ERAST Milestones
•
• Sept. 11, 1995: Sets first altitude record for solarSept. 11, 1995: Sets first altitude record for solar--powered aircraft at powered aircraft at 50,000 ft during 12
50,000 ft during 12--hour flighthour flight •
• October 21, 1995: Damaged in hangar mishapOctober 21, 1995: Damaged in hangar mishap •
• July 7, 1997: Sets new altitude record for solarJuly 7, 1997: Sets new altitude record for solar--powered and powered and propeller
propeller--driven aircraft at 71,530 ftdriven aircraft at 71,530 ft •
• Modified into the longerModified into the longer--winged Pathfinder Plus, still used for tests at winged Pathfinder Plus, still used for tests at NASA DFRC
NASA DFRC
•
• Aug. 6, 1998: Pathfinder Plus breaks old record with flight at aAug. 6, 1998: Pathfinder Plus breaks old record with flight at altitude ltitude of 80,201 ft
of 80,201 ft
•
• Aug. 13, 2001: Helios sets record at 96,863 ft in near 17Aug. 13, 2001: Helios sets record at 96,863 ft in near 17--hour flighthour flight •
4
Pathfinder Configuration
Pathfinder Configuration
Span: 99 ft Chord: 8 ft Wing Area: 792 ft2 AR: 12.375 Elevator Chord: 0.89 ft # Elevators: 26 (full span) xcg : 0.5 in fwd LECenter Panel: 22.1 ft span and 0° dihedral
Mid Panel: 18.9 ft span (each) and 3° dihedral
Tip Panel: 18.8 ft span (each) and 6.5° dihedral
Specs and Performance
Specs and Performance
•
•
W=550 lbs (includes 50 lbs payload)
W=550 lbs (includes 50 lbs payload)
•
•
-
-
W/S=0.694
W/S=0.694
psf
psf
•
•
Solar array covers 75% of upper surface and can
Solar array covers 75% of upper surface and can
generate near 8000 W at solar noon
generate near 8000 W at solar noon
•
•
Six gearless 1.5 hp electric motors consisting of
Six gearless 1.5 hp electric motors consisting of
fixed
fixed
-
-
pitched, 2
pitched, 2
-
-
bladed 79
bladed 79
-
-
inch diameter props,
inch diameter props,
brushless DC motor, nacelle, cooling fins, and
brushless DC motor, nacelle, cooling fins, and
composite mounting strut
composite mounting strut
•
•
-
-
T/W=0.10 at 60,000 ft, P/W = 13.6 W/lb
T/W=0.10 at 60,000 ft, P/W = 13.6 W/lb
•
•
Composed of carbon composite spar, lightweight
Composed of carbon composite spar, lightweight
composite ribs and transparent plastic wing skin
composite ribs and transparent plastic wing skin
•
•
-
-
Can withstand 3.2g
Can withstand 3.2g
•
6
Airfoil: LA2573A
Airfoil: LA2573A
• Modified Liebeck Airfoil
• Max t/c = 0.137 • x/c of max t = 0.288 • Max camber/c = 0.032 • x/c of max camber = 0.261 x/c -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 y/c
-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 0 0.2 0.4 0.6 0.8 1
Pressure Distribution
Pressure Distribution
Angle of Attack = 7° x/c C P8 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 -4 -2 0 2 4 6 8 10 12 14 16 18
Lift Curve
Lift Curve
• CLα = 6.97 • CLmax = 1.3 • Stall occurs at α = 11°• Zero lift angle α = -0.82 ° α, degrees
-0.04 -0.02 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 -4 -2 0 2 4 6 8 10 12 14 16 18
Moment Curve
Moment Curve
• Cmα = -0.03• Requires positive C to trim so must not exceed α = 18° α, degrees
10
Drag Polar
Drag Polar
• CD0 = 0.014
• (L/D)max = 25 •does not exceed 1.2 (Best performance of airfoil when CLα = 10°)
CD C L -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Wind Tunnel Data
Wind Tunnel Data
12
Analysis in AVL
Analysis in AVL
• Mach = 0.097
Span Loading at
14
Derivatives
Derivatives
0
0
--
.008
.008
--
.002
.002
--
.064
.064
--
.001
.001
0.002
0.002
C
C
nn--
.015
.015
--
.005
.005
--
2.72
2.72
.016
.016
.002
.002
--
1.34
1.34
C
C
mm0
0
.22
.22
.036
.036
--
.61
.61
--
.13
.13
0.026
0.026
C
C
ll0
0
.044
.044
.009
.009
--
.066
.066
--
.022
.022
0.006
0.006
C
C
YY.030
.030
.017
.017
7.47
7.47
--
.050
.050
--
.005
.005
4.94
4.94
C
C
LLδ
δ
eer
r
q
q
p
p
β
β
α
α
Derivatives,
Derivatives,
¾
¾
chord elevator
chord elevator
0
0
--
.008
.008
--
.002
.002
--
.064
.064
--
.001
.001
0.002
0.002
C
C
nn--
.022
.022
--
.005
.005
--
2.72
2.72
.016
.016
.002
.002
--
1.34
1.34
C
C
mm0
0
.22
.22
.036
.036
--
.61
.61
--
.13
.13
0.026
0.026
C
C
ll0
0
.044
.044
.009
.009
--
.066
.066
--
.022
.022
0.006
0.006
C
C
YY.048
.048
.017
.017
7.47
7.47
--
.050
.050
--
.005
.005
4.94
4.94
C
C
LLδ
δ
eer
r
q
q
p
p
β
β
α
α
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Results
Results
•
•
e = 0.92
e = 0.92
•
•
Neutral Point = 26% of chord
Neutral Point = 26% of chord
•
•
(
(
C
C
llββC
C
nrnr)/(C
)/(C
lrlrC
C
nnββ) =
) =
-
-
3.82
3.82
--
This must be greater than 1 to be
This must be greater than 1 to be
spirally stable
spirally stable
Optimization of Planform
Optimization of Planform
•
Objectives:
- Maximize Power
- Minimize Weight
- Minimize Drag
•
Design Variables:
- Spans of center, mid, and tip panels
- Chord
•
Create model in Model Center using MATLAB modules
for weight, drag and power
•
Use the Darwin genetic algorithm to perform
18
Modules
Modules
•
Weight: Assumed evenly distributed
•
Drag: Assumed a drag polar, C
D= C
D0+ C
L2/(πARe)
•
C
D0: Used equations from ‘friction’ to obtain C
D0, assuming a high
laminar to turbulent ratio
•
Power: Solar panels cover 75% of the upper surface
Constants for Optimization: - e = 0.92 (from AVL) - ρ = 0.0002256 sl/ft3 (60,000 ft) - µ = 0.297·10-6 sl/ft-s - M = 0.097 (V=94 ft/s at 60K ft) - FF = 2.12 - Q = 1.0 - W/S = 0.694 psf - P/S = 13.5 W/ft2
Optimization Results
Optimization Results
Pareto designs are those that have a better value for at least one objective function than similar designs.
Nearly linear relationship between objective functions for the non-dominated
frontier.
Ideally look for designs with comparatively higher power than those with similar
weight and drag. These designs are referred to as “knees in the curve.”
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Best Design for W=550 Pounds
Best Design for W=550 Pounds
550 lbs
550 lbs
542 lbs
542 lbs
Weight
Weight
21.8 lbs
21.8 lbs
19.3 lbs
19.3 lbs
Drag
Drag
8002.5 W
8002.5 W
7879 W
7879 W
Power
Power
8.96 ft
8.96 ft
8 ft
8 ft
Chord
Chord
16 ft
16 ft
18.8 ft
18.8 ft
Tip b
Tip b
14.9 ft
14.9 ft
18.9 ft
18.9 ft
Mid b
Mid b
13.3 ft
13.3 ft
11 ft
11 ft
Center b
Center b
Optimized
Optimized
Pathfinder
Pathfinder
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References
References
•• Curtin, Bob and Kirk Curtin, Bob and Kirk FlittieFlittie. . ““Pathfinder SolarPathfinder Solar--Powered Aircraft Flight Performance.Powered Aircraft Flight Performance.”” AIAA, AIAA, 1998.
1998. •
• Noll, Thomas E, et al. Noll, Thomas E, et al. ““Investigation of the Helios Prototype Aircraft Mishap.Investigation of the Helios Prototype Aircraft Mishap.”” NASA, 2004.NASA, 2004. •
• LiebeckLiebeck, R. H. , R. H. ““Laminar Separation Bubbles And Airfoil Design at Low Reynolds NuLaminar Separation Bubbles And Airfoil Design at Low Reynolds Numbers.mbers.”” AIAA, 1992.
AIAA, 1992. •
• SolarSolar--Powered Research and Dryden Fact Sheet, avail. at NASA DFRC websPowered Research and Dryden Fact Sheet, avail. at NASA DFRC website:ite: http://www.nasa.gov/centers/dryden/news/FactSheets/FS
http://www.nasa.gov/centers/dryden/news/FactSheets/FS--054054--DFRC.htmlDFRC.html •
• NASA Dryden Photo Gallery, avail at NASA DFRC website:NASA Dryden Photo Gallery, avail at NASA DFRC website: http://www.dfrc.nasa.gov/gallery/index.html
http://www.dfrc.nasa.gov/gallery/index.html •
• UIUC Airfoil Coordinates Database, avail. at UIUC website:UIUC Airfoil Coordinates Database, avail. at UIUC website: http://www.ae.uiuc.edu/m
http://www.ae.uiuc.edu/m--selig/ads/coord_database.htmlselig/ads/coord_database.html •
• The Incomplete Guide to Airfoil Usage, avail. at UIUC website:The Incomplete Guide to Airfoil Usage, avail. at UIUC website: http://www.ae.uiuc.edu/m
http://www.ae.uiuc.edu/m--selig/ads/aircraft.htmlselig/ads/aircraft.html •
• XfoilXfoil Source and Materials:Source and Materials: http://raphael.mit.edu/xfoil/ http://raphael.mit.edu/xfoil/ •
• AVL Source and Materials:AVL Source and Materials:
http://web.mit.edu/drela/Public/web/avl/ http://web.mit.edu/drela/Public/web/avl/ •
• MATLAB, courtesy MATLAB, courtesy MathWorksMathWorks •
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