estimating % power using flight test data, thrust hp, and equivalent flat plate drag

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Estimating % Power using Flight Test Data, Thrust HP, and Equivalent Flat Plate Drag

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Estimating % Power using Flight Test Data, Thrust HP, and Equivalent Flat Plate Drag. Objective. The Objective is to generate a Chart that relates: RPM % Power Output True Airspeed Fuel Flow Range Cruise Altitude. Methodology. - PowerPoint PPT Presentation

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Page 1: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Estimating % Power

using

Flight Test Data, Thrust HP, and

Equivalent Flat Plate Drag

Page 2: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Objective

• The Objective is to generate a Chart that relates:– RPM– % Power Output– True Airspeed– Fuel Flow– Range– Cruise Altitude

Page 3: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Methodology

• Gather Flight Test Data for a variety of RPM settings (WOT thru economy cruise)

• For each RPM, record True Airspeed (TAS) at SL, 4000’ and 8000’ density altitude

• Calculate % Pwr for S.L. data

• Use the relationship between Density Altitude (DA) and Power Available to estimate % Pwr for 4000’ and 8000’

Page 4: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Assumptions• Max BHP = 77 HP

– I don’t think I’m getting 80 HP based on my maximum RPM of 3300

• Prop Efficiency = 75%• Equivalent Flat Plate Area (fe) remains

constant• Changes in TAS are due to changes in

engine power (% Pwr)• Fuel Flow is proportional to % Pwr

Page 5: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

58

130

THP = 77 BHP * 0.75 = 58

% Pwr = 100%

RPM = 3300, TAS = 130 mph

130 mph & 58 THP intersect at fe=4 sq ft

Page 6: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

50

RPM = 3200, TAS = 125 mph

% Pwr = 50/58 = 86%

58

125

Page 7: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

45

RPM = 3100, TAS = 120 mph

% Pwr = 45/58 = 77%

58

Page 8: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

40

RPM = 3000, TAS = 115 mph

% Pwr = 40/58 = 70%

58

115

Page 9: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

35

RPM = 2900, TAS = 110 mph

% Pwr = 35/58 = 60%

58

110

Page 10: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

32

RPM = 2800, TAS = 105 mph

% Pwr = 32/58 = 55%

58

105

Page 11: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Findings• Equivalent Flat Plate Area (Fe) = 4 sq. ft.• RPM TAS % Pwr

3300 130 1.003200 125 0.873100 120 0.773000 115 0.702900 110 0.602800 105 0.55

Page 12: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Findings (cont)• Measured WOT Fuel Flow = 5.7 gph• Calculate fuel flow based on % Pwr• RPM TAS % Pwr Fuel Flow

3300 130 1.00 5.73200 125 0.87 5.03100 120 0.77 4.43000 115 0.70 4.02900 110 0.60 3.42800 105 0.55 3.1

Page 13: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Effect of Density Altitude on Power Output

Page 14: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Findings (cont)• Power Output falls with DA

– At 4000’ DA, max power output is 87% of S.L. output

– At 8000’ DA, output is 77% of S.L.

Page 15: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag

Conclusion• From here, we can do the math and

complete the % Power Table

ALT RPM TAS % BHPFuel Flow

(gph)Endurance

(hr)

Range No Reserve

(mi)

Range 1 hr Reserve

(mi)

SL 3300 130 1.00 5.7 2.8 365 2353200 125 0.87 5.0 3.2 403 2783100 120 0.77 4.4 3.6 437 3173000 115 0.70 4.0 4.0 461 3462900 110 0.60 3.4 4.7 515 4052800 105 0.55 3.1 5.1 536 431

4000 3300 140 0.87 5.0 3.2 452 3123200 135 0.76 4.3 3.7 501 3663100 130 0.67 3.8 4.2 545 4153000 124 0.61 3.5 4.6 572 4482900 119 0.52 3.0 5.4 640 5212800 113 0.48 2.7 5.9 663 550

8000 3300 151 0.77 4.4 3.6 550 3993200 145 0.67 3.8 4.2 608 4633100 139 0.59 3.4 4.7 658 5193000 133 0.54 3.1 5.2 693 5602900 128 0.46 2.6 6.1 778 6502800 122 0.42 2.4 6.6 809 687

Page 16: Estimating % Power  using  Flight Test Data,      Thrust HP, and  Equivalent Flat Plate Drag