static testing of micro propellers · as well. experimental data on these micro propellers are...

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Static Testing of Micro Propellers Robert W. Deters and Michael S. Selig University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 Available performance data for micro propellers are very lacking. Prediction of mi- cro propeller performance is made difficult due to the small Reynolds numbers (less than 50,000) at which the propellers operate. A test rig was designed and built at the Univer- sity of Illinois at Urbana-Champaign in order to measure the static performance of micro propellers. A load cell and torque transducer measure the thrust and torque, respectively, created by a propeller. These results are then used to find the static thrust and power coefficients. Eighteen two-bladed propellers from different manufacturers and two three- bladed propellers were tested with diameters ranging from 2.25 in. to 5 in. The hovering capabilities of the propellers were also analyzed. I. Introduction Small scale propellers have been widely used for radio controlled (RC) aircraft. The size and shape of the propellers used vary just as much as the type of RC aircraft flown. A large number of ready-to-fly RC aircraft are now available, many of which are constructed of foam. These aircraft are fairly inexpensive and use small motors and propellers with diameters less than 5 in. to provide thrust. An increased interest in Micro Air Vehicles (MAVs) in industry and for the military creates a need for data on micro propellers as well. Experimental data on these micro propellers are lacking and predicting static data is difficult due to the very low Reynolds numbers that these propellers experience (less than 50,000). Knowing the static performance of micro propellers would be very useful in determining motor selection and flight capabilities of small RC aircraft. This information would be very helpful for planes that can perform the prop-hanging maneuver. During prop-hanging, the fuselage is vertical and the propeller is providing enough thrust to keep the aircraft in the air. This maneuver gives the illusion that the aircraft is “hanging” on the propeller. Previous work has been done on small scale propellers at the University of Illinois at Urbana-Champaign 1–4 and at Wichita State University. 5 Tests from Wichita are for propellers ranging from 6 to 22 in. Most tests at Illinois have been done on propellers with a diameter ranging from 9 to 11 in., but a limited number of larger propellers and propellers down to 6 in. have also been tested. The test rig at Illinois for these propellers can test both static performance and propeller performance in a moving air flow. This test rig was not designed to test micro propellers, so a new test rig, used in the current tests, was built. Since only static performance was sought, the new rig was not designed to be installed in a wind tunnel. II. Experimental Setup Thrust, torque, and propeller speed were all measured using the experimental test rig shown schematically in Fig 1. Propeller thrust was measured using the SSP1-0.3KG load cell maufactured by Load Cell Central. The load cell has a capacity of 10.58 oz (0.3 kg). Torque was measured using the RTS-25 reaction torque transducer manufactured by Transducer Techniques. The torque transducer has a capacity of 25 oz-in. Propeller speed ranged from 2,500 RPM up to 27,000 RPM, and was measured using a matched infrared emitter and phototransistor detector stationed so that the propeller blades would pass between them. The atmospheric pressure was measured using a MKS absolute pressure transducer, and the air temperature was measured with an Omega GRMQSS T-type thermocouple. Graduate Research Assistant, Department of Aerospace Engineering, [email protected], and AIAA Student Member. Associate Professor, Department of Aerospace Engineering, [email protected], and AIAA Senior Member. 1 of 40 American Institute of Aeronautics and Astronautics 26th AIAA Applied Aerodynamics Conference 18 - 21 August 2008, Honolulu, Hawaii AIAA 2008-6246 Copyright © 2008 by Robert W Deters and Michael S Selig. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.

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Page 1: Static Testing of Micro Propellers · as well. Experimental data on these micro propellers are lacking and predicting static data is difficult due to the very low Reynolds numbers

Static Testing of Micro Propellers

Robert W. Deters∗ and Michael S. Selig †

University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Available performance data for micro propellers are very lacking. Prediction of mi-cro propeller performance is made difficult due to the small Reynolds numbers (less than50,000) at which the propellers operate. A test rig was designed and built at the Univer-sity of Illinois at Urbana-Champaign in order to measure the static performance of micropropellers. A load cell and torque transducer measure the thrust and torque, respectively,created by a propeller. These results are then used to find the static thrust and powercoefficients. Eighteen two-bladed propellers from different manufacturers and two three-bladed propellers were tested with diameters ranging from 2.25 in. to 5 in. The hoveringcapabilities of the propellers were also analyzed.

I. Introduction

Small scale propellers have been widely used for radio controlled (RC) aircraft. The size and shape ofthe propellers used vary just as much as the type of RC aircraft flown. A large number of ready-to-fly RCaircraft are now available, many of which are constructed of foam. These aircraft are fairly inexpensiveand use small motors and propellers with diameters less than 5 in. to provide thrust. An increased interestin Micro Air Vehicles (MAVs) in industry and for the military creates a need for data on micro propellersas well. Experimental data on these micro propellers are lacking and predicting static data is difficult dueto the very low Reynolds numbers that these propellers experience (less than 50,000). Knowing the staticperformance of micro propellers would be very useful in determining motor selection and flight capabilitiesof small RC aircraft. This information would be very helpful for planes that can perform the prop-hangingmaneuver. During prop-hanging, the fuselage is vertical and the propeller is providing enough thrust to keepthe aircraft in the air. This maneuver gives the illusion that the aircraft is “hanging” on the propeller.

Previous work has been done on small scale propellers at the University of Illinois at Urbana-Champaign1–4

and at Wichita State University.5 Tests from Wichita are for propellers ranging from 6 to 22 in. Most testsat Illinois have been done on propellers with a diameter ranging from 9 to 11 in., but a limited numberof larger propellers and propellers down to 6 in. have also been tested. The test rig at Illinois for thesepropellers can test both static performance and propeller performance in a moving air flow. This test rigwas not designed to test micro propellers, so a new test rig, used in the current tests, was built. Since onlystatic performance was sought, the new rig was not designed to be installed in a wind tunnel.

II. Experimental Setup

Thrust, torque, and propeller speed were all measured using the experimental test rig shown schematicallyin Fig 1. Propeller thrust was measured using the SSP1-0.3KG load cell maufactured by Load Cell Central.The load cell has a capacity of 10.58 oz (0.3 kg). Torque was measured using the RTS-25 reaction torquetransducer manufactured by Transducer Techniques. The torque transducer has a capacity of 25 oz-in.Propeller speed ranged from 2,500 RPM up to 27,000 RPM, and was measured using a matched infraredemitter and phototransistor detector stationed so that the propeller blades would pass between them. Theatmospheric pressure was measured using a MKS absolute pressure transducer, and the air temperature wasmeasured with an Omega GRMQSS T-type thermocouple.

∗Graduate Research Assistant, Department of Aerospace Engineering, [email protected], and AIAA Student Member.†Associate Professor, Department of Aerospace Engineering, [email protected], and AIAA Senior Member.

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American Institute of Aeronautics and Astronautics

26th AIAA Applied Aerodynamics Conference18 - 21 August 2008, Honolulu, Hawaii

AIAA 2008-6246

Copyright © 2008 by Robert W Deters and Michael S Selig. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.

Page 2: Static Testing of Micro Propellers · as well. Experimental data on these micro propellers are lacking and predicting static data is difficult due to the very low Reynolds numbers

Figure 1. Schematic of the experimental test rig viewed from the side.

A Medusa MR-012-030-4000 brushless motor was used for the tests. The motor was attached to a mount,which in turn was attached directly to the torque transducer. The torque transducer was attached to thethrust load cell, and the load cell was attached to the rig support. In order to isolate the load cell andtorque transducer from the prop wash, an airfoil shaped fairing was installed. Since the motor was brushless,it was attached to a Castle Creations Thunderbird-9 speed controller. To supply power for the motor andspeed controller, a power supply made by BK Precision was used. Between the power supply and the speedcontroller, an E-flite power meter was connected to monitor amperage in order to not overload the motor.To set the rotational speed of the motor, the speed controller was connected to the ServoXciter EF madeby Vexa Control. This device was used to act like a throttle. The data acquisition software was set up tocontrol the motor by changing the voltage sent to the ServoXciter.

Voltages from the torque transducer and load cell were recorded by a National Instruments analog-to-digital data acquisition board connected to a personal computer. Voltages were converted to thrust andtorque using calibration slopes. Thrust calibration used precisely measured weights to pull on the motorwhen it was attached to the test rig. By increasing and decreasing the amount of force on the test rig, a linearrelationship between the voltage and the force was found. Torque calibration was done by using the weightsand a moment arm to generate a known torque on the torque transducer. A linear relationship between thevoltages and the torque was found. These calibrations were performed regularly to ensure consistent results.

The purpose of these propeller tests was to find the thrust and torque produced at given propeller RPMs.The first part of each test was to determine the RPM range for a propeller. The data acquisition software hasa tool that allows the user to manually set the voltage sent to the ServoXciter and displays the resulting RPM.The upper RPM limit was set so that the amperage and power being used by the motor was safely belowthe manufacturer’s limits. The second part of the test was the actual testing phase. The data acquisitionsoftware sent a voltage to the ServoXciter that in turn sent a signal to the speed control. The resulting RPMwas measured by the infrared emitter-detector pair. The software then increased or decreased the voltageto the ServoXciter in order to set the RPM to the lower RPM limit. Thrust and torque measurements weretaken along with the current ambient pressure and temperature. The software then set the next propellerRPM and more data were recorded. This continued until the upper RPM limit was reached.

The data acquisition software also reduced the data to produce thrust and power coefficients. Air densitywas calculated by

ρ =Patm

R Tair(1)

Propeller power was calculated by

P = 2πnQ (2)

where Q is the propeller torque and n is the propeller rotational speed measured in revolutions per second.The thrust and power coefficients were then calculated by

CT0 =T0

ρn2D4(3)

CP0 =P0

ρn3D5(4)

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where D is the diameter of the propeller.Geometry for each propeller was also found. Using an image of the front and side of each propeller, the

PropellerScanner software from MH Aero found the chord and twist distribution.6

In order to be able to compare the static performance of the different propellers, a static efficiency wascalculated. This efficiency was in the form of the hover figure of merit or FOM .7,8 Usually used to measurethe efficiency of helicopter rotors, FOM is the ratio of the ideal power required to hover to the actual powerrequired, or

FOM =Pideal

P(5)

From momentum theory, the ideal power is given as

Pideal = T√

T/2ρA (6)

so FOM becomes

FOM =C

3/2T√

2 CP

(7)

The thrust and power coefficients used in Eqn. 7 are defined slightly different than those shown inEqns. 3–4. The FOM equation is typically used for helicopters, so the thrust and power coefficients aredefined as

CT =T0

ρAV 2T

(8)

CP =P0

ρAV 3T

(9)

where A is the disk area and VT is the tip speed. The FOM values found in this report use the coefficientdefinitions shown in Eqns. 8–9. Care must be taken when using the FOM to compare rotors. Only rotorswith the same disk loading should be compared.

III. Results

Twenty propellers were tested with diameters ranging from 2.25 in. to 5 in. (Figs. 2–7). Ten propellerswere manufactured by GWS and are shown in Figs. 2 and 3. These propellers range in diameter from 2.5 in.to 5 in. Five propellers were manufactured by Micro Invent and range in diameter from 3.2 in. to 5 in.Three of the Micro Invent propellers had 2 blades (Fig. 4) while the other two had 3 blades (Fig. 5). Threepropellers were from Plantraco (Fig. 6) and range in diameter from 2.25 in. to 4 in. Of the last two propellersshown in Fig. 7, one was from Union with a diameter of 3.15 in. and the other was a folding propeller fromKP Aero Models with a diameter of 3.8 in.

All of the propellers tested had thin cross sections and all but five were made of plastic. The fiveMicro Invent propellers were all made of carbon laminate. These propellers had thinner cross sections thanthe plastic propellers and were more flexible. This extra flexibility led to significant blade twisting duringtesting, and it is believed that this twisting reduced the propeller pitch. The GWS propellers used a verythin flat-bottom airfoil while the other propellers were thin foil surfaces.

The geometry and static performance data of each propeller can be found in Figs. 8–67. The GWSpropellers are shown in Figs. 8–37, the Micro Invent propellers are shown in Figs. 38–52, the Plantracopropellers are shown in Figs. 53–61, the Union propeller is shown in Figs. 62–64, and the KP propeller isshown in Figs. 65–67. Each propeller data set includes three figures. The first figure shows the chord andtwist distribution from PropellerScanner along with pictures of the propeller from the top and side. Theother two figures show the static performance in the form of static thrust and power coefficients plottedagainst RPM. The Reynolds numbers of the propellers are also shown in the static performance plots, andit is seen that the propellers operate at values less than 50,000. The Reynolds numbers are based on thechord at the 75% blade station.

A table of the propellers tested and some important information is shown in Table 1. This table providesthe RPM range at which each propeller was tested along with the disk loading (T/A). The FOM for each

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Figure 2. GWS Direct Drive propellers with diameters ranging from 2.5 in. to 4.0 in.

Figure 3. GWS Direct Drive propellers with diameters of 4.5 in. and 5.0 in.

propeller is also given. The FOM for a typical rotor will increase as the thrust coefficient increases untilit reaches a peak and stays fairly constant. At the RPM range these propellers were tested, the FOMhad already reached its peak. Therefore the FOM shown in the table is an average over the RPM range.Since all of the propellers share some common range in disk loading, the FOM can be used to make somecomparisons.

An efficient rotor typically has a FOM between 0.7 and 0.8, but as seen in the table, these propellers donot reach this high of a value. This is not surprising since these propellers were not designed for hovering. Acouple of trends can be seen from the FOM results. A larger diameter propeller tends to be more efficient,and for propellers of the same diameter, a lower pitch tends to be more efficient.

IV. Summary

Static tests of twenty off-the-shelf propellers were performed. Thrust and torque data was measured andthrust and power coefficients were calculated. Using top and side-view pictures of the propellers, the chordand twist distributions were found. To better compare the static performance of the propellers, a figure ofmerit was calculated. The results have shown that propellers with a larger diameter were typically moreefficient, and lower pitch for propellers of the same diameter were more efficient. The results of these twentypropeller provide a set of available data that can be used to compare against static performance predictioncodes.

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Table 1. Summary Data and Figure of Merit for the Twenty Propellers Tested

Man

ufac

ture

rP

rope

ller

Dia

met

er(i

n)R

PM

low

RP

Mhi

ghT

/Alo

w(l

b/ft

2)

T/A

high

(lb/

ft2)

FO

M

2.5×

0.8

2.55

15,0

0027

,000

0.49

1.62

0.38

22.

5×1.

02.

5515

,000

27,0

000.

611.

980.

440

3.0×

2.0

3.25

7,00

018

,000

0.37

2.57

0.53

13.

0×3.

03.

205,

000

16,0

000.

262.

750.

455

4.0×

2.5

4.00

5,00

015

,000

0.26

2.46

0.57

2G

WS

4.0×

4.0

4.00

4,00

011

,000

0.23

1.76

0.41

94.

5×3.

04.

504,

000

12,0

000.

201.

930.

556

4.5×

4.0

4.50

3,00

010

,000

0.15

1.71

0.52

65.

0×3.

05.

003,

000

10,0

000.

131.

600.

611

5.0×

4.3

5.00

2,50

08,

500

0.13

1.46

0.56

23.

2×2.

23.

209,

000

19,0

000.

552.

570.

524

4.0×

2.7

3.95

6,00

013

,000

0.30

1.66

0.41

8M

icro

Inve

nt5.

0×3.

54.

904,

000

8,00

00.

200.

960.

582

4.3×

3.5T

4.40

4,00

09,

000

0.25

1.49

0.54

55.

0×4.

0T4.

903,

000

7,00

00.

181.

130.

480

57m

20m

m2.

2512

,000

24,0

000.

542.

320.

437

Pla

ntra

coTri

-Tur

bofa

n2.

559,

000

20,0

000.

492.

470.

438

100

mm

4.00

5,00

012

,000

0.28

1.75

0.41

5U

nion

U-8

03.

157,

500

20,0

000.

433.

580.

552

KP

96m

mFo

ldin

g3.

804,

000

11,0

000.

251.

930.

490

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Figure 4. Micro Invent propellers with diameters ranging from 3.2 in. to 5.0 in.

Acknowledgments

The authors wish to thank John Brandt for designing the original propeller acquisition software. Thanksalso goes to Nathan Bishop for his initial work on this project. The authors also thank Craig Golema ofSpin Master for providing the funding for these tests.

References

1Brandt, J., Small-Scale Propeller Performance at Low Speeds, M.S. Thesis, University of Illinois at Urbana-Champaign,Urbana, IL, 2005.

2Tehrani, K., Propellers in Yaw at Low Speeds, M.S. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, 2006.3Uhlig, D.V., Post Stall Propeller Behavior at Low Reynolds Numbers, M.S. Thesis, University of Illinois at Urbana-

Champaign, Urbana, IL, 2007.4Uhlig, D.V. and Selig, M.S., “Post Stall Propeller Behavior at Low Reynolds Numbers,” 46th Aerospace Sciences Meeting,

AIAA Paper 2008-407, Jan. 2008.5Merchant, M.P. and Miller, L.S., “Propeller Performance Measurement for Low Reynolds Number UAV Applications,”

44th Aerospace Sciences Meeting, AIAA Paper 2006-1127, Jan. 2006.6Hepperle, M., PropellerScanner Manual , www.mh-aerotools.de, 2003.7Johnson, W., Helicopter Theory, Dover Publications, Inc., New York, 1980.8Leishman, J.G., Principles of Helicopter Aerodynamics, Cambridge University Press, Cambridge, 2000.

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Figure 5. Micro Invent 3-bladed propellers with diameters of 4.3 in. and 5.0 in.

Figure 6. Plantraco propellers with diameters ranging from 2.25 in. to 4.0 in.

Figure 7. Union propeller with a diameter of 3.15 in. and KP Aero Models propeller with a diameter of 3.8 in.

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0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 2.5x0.8

True Diameter: 2.55 in (6.5 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 8. GWS Direct Drive 2.5×0.8 geometric characteristics.

10000 15000 20000 25000 300000.00

0.05

0.10

Ω (rpm)

CTo

GWS Direct Drive 2.5x0.8Static Case

Re (103)20 30 40 50

Figure 9. GWS Direct Drive 2.5×0.8 static thrust.

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10000 15000 20000 25000 300000.00

0.05

0.10

Ω (rpm)

CPo

GWS Direct Drive 2.5x0.8Static Case

Re (103)20 30 40 50

Figure 10. GWS Direct Drive 2.5×0.8 static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 2.5x1.0

True Diameter: 2.55 in (6.5 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 11. GWS Direct Drive 2.5×1.0 geometric characteristics.

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10000 15000 20000 25000 300000.00

0.05

0.10

Ω (rpm)

CTo

GWS Direct Drive 2.5x1.0Static Case

Re (103)20 30 40 50

Figure 12. GWS Direct Drive 2.5×1.0 static thrust.

10000 15000 20000 25000 300000.00

0.05

0.10

Ω (rpm)

CPo

GWS Direct Drive 2.5x1.0Static Case

Re (103)20 30 40 50

Figure 13. GWS Direct Drive 2.5×1.0 static power.

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0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 3.0x2.0

True Diameter: 3.25 in (8.3 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 14. GWS Direct Drive 3.0×2.0 geometric characteristics.

0 5000 10000 15000 200000.00

0.05

0.10

0.15

Ω (rpm)

CTo

GWS Direct Drive 3.0x2.0Static Case

Re (103)10 20 30 40

Figure 15. GWS Direct Drive 3.0×2.0 static thrust.

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0 5000 10000 15000 200000.00

0.05

0.10

Ω (rpm)

CPo

GWS Direct Drive 3.0x2.0Static Case

Re (103)10 20 30 40

Figure 16. GWS Direct Drive 3.0×2.0 static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 3.0x3.0

True Diameter: 3.2 in (8.1 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 17. GWS Direct Drive 3.0×3.0 geometric characteristics.

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0 5000 10000 15000 200000.00

0.05

0.10

0.15

0.20

Ω (rpm)

CTo

GWS Direct Drive 3.0x3.0Static Case

Re (103)10 20 30 40

Figure 18. GWS Direct Drive 3.0×3.0 static thrust.

0 5000 10000 15000 200000.00

0.05

0.10

0.15

Ω (rpm)

CPo

GWS Direct Drive 3.0x3.0Static Case

Re (103)10 20 30 40

Figure 19. GWS Direct Drive 3.0×3.0 static power.

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0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 4.0x2.5

True Diameter: 4.0 in (10.2 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 20. GWS Direct Drive 4.0×2.5 geometric characteristics.

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0 5000 10000 15000 200000.00

0.05

0.10

0.15

Ω (rpm)

CTo

GWS Direct Drive 4.0x2.5Static Case

Re (103)10 20 30 40 50

Figure 21. GWS Direct Drive 4.0×2.5 static thrust.

0 5000 10000 15000 200000.00

0.05

0.10

Ω (rpm)

CPo

GWS Direct Drive 4.0x2.5Static Case

Re (103)10 20 30 40 50

Figure 22. GWS Direct Drive 4.0×2.5 static power.

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0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 4.0x4.0

True Diameter: 4.0 in (10.2 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 23. GWS Direct Drive 4.0×4.0 geometric characteristics.

2500 5000 7500 10000 125000.00

0.05

0.10

0.15

0.20

Ω (rpm)

CTo

GWS Direct Drive 4.0x4.0Static Case

Re (103)10 20 30

Figure 24. GWS Direct Drive 4.0×4.0 static thrust.

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2500 5000 7500 10000 125000.00

0.05

0.10

0.15

Ω (rpm)

CPo

GWS Direct Drive 4.0x4.0Static Case

Re (103)10 20 30

Figure 25. GWS Direct Drive 4.0×4.0 static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 4.5x3.0

True Diameter: 4.5 in (11.4 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 26. GWS Direct Drive 4.5×3.0 geometric characteristics.

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2500 5000 7500 10000 125000.00

0.05

0.10

0.15

Ω (rpm)

CTo

GWS Direct Drive 4.5x3.0Static Case

Re (103)10 20 30 40

Figure 27. GWS Direct Drive 4.5×3.0 static thrust.

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0.05

0.10

Ω (rpm)

CPo

GWS Direct Drive 4.5x3.0Static Case

Re (103)10 20 30 40

Figure 28. GWS Direct Drive 4.5×3.0 static power.

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0.75

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c/R

GWS Direct Drive 4.5x4.0

True Diameter: 4.5 in (11.4 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 29. GWS Direct Drive 4.5×4.0 geometric characteristics.

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0.10

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Ω (rpm)

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GWS Direct Drive 4.5x4.0Static Case

Re (103)10 20 30 40

Figure 30. GWS Direct Drive 4.5×4.0 static thrust.

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GWS Direct Drive 4.5x4.0Static Case

Re (103)10 20 30 40

Figure 31. GWS Direct Drive 4.5×40 static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

GWS Direct Drive 5.0x3.0

True Diameter: 5.0 in (12.7 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 32. GWS Direct Drive 5.0×3.0 geometric characteristics.

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GWS Direct Drive 5.0x3.0Static Case

Re (103)20 30 40 50

Figure 33. GWS Direct Drive 5.0×3.0 static thrust.

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0.10

Ω (rpm)

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GWS Direct Drive 5.0x3.0Static Case

Re (103)20 30 40 50

Figure 34. GWS Direct Drive 5.0×3.0 static power.

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0.00 0.25 0.50 0.75 1.000.00

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0.50

0.75

r/R

c/R

GWS Direct Drive 5.0x4.3

True Diameter: 5.0 in (12.7 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 35. GWS Direct Drive 5.0×4.3 geometric characteristics.

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0.10

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0.20

Ω (rpm)

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GWS Direct Drive 5.0x4.3Static Case

Re (103)10 20 30 40

Figure 36. GWS Direct Drive 5.0×4.3 static thrust.

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0.10

Ω (rpm)

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GWS Direct Drive 5.0x4.3Static Case

Re (103)10 20 30 40

Figure 37. GWS Direct Drive 5.0×4.3 static power.

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0.00 0.25 0.50 0.75 1.000.00

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0.75

r/R

c/R

Micro Invent 3.2x2.2

True Diameter: 3.2 in (8.1 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 38. Micro Invent 3.2×2.2 geometric characteristics.

0 5000 10000 15000 200000.00

0.05

0.10

0.15

Ω (rpm)

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Micro Invent 3.2x2.2Static Case

Re (103)10 20 30

Figure 39. Micro Invent 3.2×2.2 static thrust.

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Micro Invent 3.2x2.2Static Case

Re (103)10 20 30

Figure 40. Micro Invent 3.2×2.2 static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

Micro Invent 4.0x2.7

True Diameter: 3.95 in (10.0 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 41. Micro Invent 4.0×2.7 geometric characteristics.

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0.05

0.10

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Micro Invent 4.0x2.7Static Case

Re (103)20 30

Figure 42. Micro Invent 4.0×2.7 static thrust.

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0.10

Ω (rpm)

CPo

Micro Invent 4.0x2.7Static Case

Re (103)20 30

Figure 43. Micro Invent 4.0×2.7 static power.

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0.00 0.25 0.50 0.75 1.000.00

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0.75

r/R

c/R

Micro Invent 5.0x3.5

True Diameter: 4.9 in (12.4 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 44. Micro Invent 5.0×3.5 geometric characteristics.

2000 3500 5000 6500 80000.00

0.05

0.10

0.15

Ω (rpm)

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Micro Invent 5.0x3.5Static Case

Re (103)10 20 30

Figure 45. Micro Invent 5.0×3.5 static thrust.

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Micro Invent 5.0x3.5Static Case

Re (103)10 20 30

Figure 46. Micro Invent 5.0×3.5 static power.

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0.00 0.25 0.50 0.75 1.000.00

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r/R

c/R

Micr Invent 3 blade 4.3x3.5

True Diameter: 4.4 in (11.2 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 47. Micro Invent 3 blade 4.3×3.5 geometric characteristics.

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American Institute of Aeronautics and Astronautics

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Ω (rpm)

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Micro Invent 3 blade 4.3x3.5Static Case

Re (103)10 20

Figure 48. Micro Invent 3 blade 4.3×3.5 static thrust.

2000 4000 6000 8000 100000.00

0.05

0.10

0.15

Ω (rpm)

CPo

Micro Invent 3 blade 4.3x3.5Static Case

Re (103)10 20

Figure 49. Micro Invent 3 blade 4.3×3.5 static power.

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r/R

c/R

Micr Invent 3 blade 5.0x4.0

True Diameter: 4.9 in (12.4 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 50. Micro Invent 3 blade 5.0×4.0 geometric characteristics.

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American Institute of Aeronautics and Astronautics

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Micro Invent 3 blade 5.0x4.0Static Case

Re (103)10 20

Figure 51. Micro Invent 3 blade 5.0×4.0 static thrust.

2000 3500 5000 6500 80000.00

0.05

0.10

0.15

Ω (rpm)

CPo

Micro Invent 3 blade 5.0x4.0Static Case

Re (103)10 20

Figure 52. Micro Invent 3 blade 5.0×4.0 static power.

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r/R

c/R

Plantraco 57 mm x 20 mm

True Diameter: 2.25 in (5.7 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 53. Plantraco 57 mm × 20 mm geometric characteristics.

5000 10000 15000 20000 250000.00

0.05

0.10

0.15

Ω (rpm)

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Plantraco 57 mm x 20 mmStatic Case

Re (103)10 20 30

Figure 54. Plantraco 57 mm × 20 mm static thrust.

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Plantraco 57 mm x 20 mmStatic Case

Re (103)10 20 30

Figure 55. Plantraco 57 mm × 20 mm static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

Plantraco Tri−Turbofan

True Diameter: 2.55 in (6.5 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 56. Plantraco Tri-Turbofan geometric characteristics.

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American Institute of Aeronautics and Astronautics

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0.10

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Ω (rpm)

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Plantraco Tri−TurbofanStatic Case

Re (103)10 20 30

Figure 57. Plantraco Tri-Turbofan static thrust.

5000 10000 15000 20000 250000.00

0.05

0.10

0.15

Ω (rpm)

CPo

Plantraco Tri−TurbofanStatic Case

Re (103)10 20 30

Figure 58. Plantraco Tri-Turbofan static power.

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0.00 0.25 0.50 0.75 1.000.00

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0.50

0.75

1.00

r/R

c/R

Plantraco 100 mm x 80 mm

True Diameter: 4.0 in (10.2 cm)

chord twist

β (deg)

0

15

30

45

60

Front View

Side ViewFigure 59. Plantraco 100 mm × 80 mm geometric characteristics.

0 5000 10000 15000 200000.00

0.05

0.10

0.15

Ω (rpm)

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Plantraco 100 mm x 80 mmStatic Case

Re (103)10 20 30 40

Figure 60. Plantraco 100 mm × 80 mm static thrust.

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Plantraco 100 mm x 80 mmStatic Case

Re (103)10 20 30 40

Figure 61. Plantraco 100 mm × 80 mm static power.

0.00 0.25 0.50 0.75 1.000.00

0.25

0.50

0.75

r/R

c/R

Union U−80 80 mm x 50 mm

True Diameter: 3.15 in (8.0 cm)

chord twist

β (deg)

0

15

30

45

Front View

Side ViewFigure 62. Union U-80 80 mm × 50 mm geometric characteristics.

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American Institute of Aeronautics and Astronautics

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Ω (rpm)

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Union U−80 80 mm x 50 mmStatic Case

Re (103)20 30 40 50

Figure 63. Union U-80 80 mm × 50 mm static thrust.

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0.05

0.10

0.15

Ω (rpm)

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Union U−80 80 mm x 50 mmStatic Case

Re (103)20 30 40 50

Figure 64. Union U-80 80 mm × 50 mm static power.

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0.00 0.25 0.50 0.75 1.000.00

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0.50

0.75

1.00

r/R

c/R

KP Aero Models Folding 96 mm x 70 mm

True Diameter: 3.8 in (9.7 cm)

chord twist

β (deg)

0

15

30

45

60

Front View

Side ViewFigure 65. KP Aero Models Folding 96 mm × 70 mm geometric characteristics.

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American Institute of Aeronautics and Astronautics

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Ω (rpm)

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KP Aero Models Folding 96 mm x 70 mmStatic Case

Re (103)10 20 30 40

Figure 66. KP Aero Models Folding 96 mm × 70 mm static thrust.

2500 5000 7500 10000 125000.00

0.05

0.10

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Ω (rpm)

CPo

KP Aero Models Folding 96 mm x 70 mmStatic Case

Re (103)10 20 30 40

Figure 67. KP Aero Models Folding 96 mm × 70 mm static power.

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