Title: Lesson objective to show how to
1Objectives
- Lesson objective - to show how to
- Put it all together
- With a focus on
- The air vehicle
Expectations - You will better understand how to
approach air vehicle design
24-1
? 2002 LM Corporation
2How do we start - review
- Analyze the problem
- What does the air vehicle have to do?
- Is any information missing?
- Look at some potential solutions
- What are the overall design drivers?
- Payload weight and volume
- Range and endurance
- Speed and propulsion type
- Pick a starting baseline
- Analyze starting baseline
- Size and weight range and endurance
- Analyze the other approaches
- Compare results and select preferred baseline
- Define preferred overall system
- Reasonable balance of cost, risk and
effectiveness - Document results
Today
24-2
3What kind of air vehicle - review
- Operates from 3000 ft paved runway (defined
reqmnt) - Loiters over an area of interest (defined
reqmnt) - At h 10-17Kft, 158nm-255 nm from base (derived)
- Baseline loiter time 12 hrs, do trade study on
6 and12 hr (system engineer, team decision) - Fly circular pattern, 2 minute turns (derived)
- Maximum coverage area 200nm x 200 nm (defined)
- WAS for 10 sqm moving targets in 2 minutes
(defined) - Dashes 141 nm to target in 30 min. (derived
reqmnt) - Once per hour (follow-up customer response)
- Based on WAS sensor or other information
- Images targets from 10 Kft (derived reqmnt)
- Operates in all weather
- - 60 good weather, 30 bad but flyable, 10
terrible weather (unflyable) - This conflicts with our 100 availability
assumption
24-3
4Our first decision- review
- It is a very important one
- What is the best propulsion cycle for the
mission? - Internal combustion (IC), turboprop (TBProp) and
turbo fan (TBFan) engines can all meet baseline
speed (280 kt) and altitude (10-17Kft)
requirements - We bring our team together for the decision
- Speed and altitude is at the upper end of IC
capability, reliability required will be a
challenge for an IC engine - TBProp is good cycle for low-medium altitude
operations - TBFan is best at altitudes gt 36 Kft but has best
reliability - We select the TBProp as our starting baseline and
agree to evaluate a TBFan as the primary
alternative - IC alternative decision will be based on size
required - Conventional wing-body-tail configuration(s)
selected - Evaluate innovative concepts during conceptual
design - We document our decisions as derived
requirements
24-4
5Next decision- review
- How many engines?
- Generally determined by available engine size
- The smallest number of engines will always be the
lightest and lowest drag - How big will they be?
- Engine size is determined by thrust or
horsepower-to-weight required to meet performance
requirements - One sizing consideration is takeoff others are
speed, acceleration and maneuver - Initially we size for takeoff
- We design for balanced field length (BFL) 3000
ft - Approximate BFL 1500 ft ground roll to lift off
speed, 1500 ft to stop if engine fails at liftoff - Later we will calculate performance over the
entire mission and ensure that all requirements
can be met - This is what we will do today
24-5
6Review reqmnt disconnect
- Initial system assessment assumed 100 air
vehicle availability, weather now limits
availability to 90 - This will affect SAR sizing (primarily)
- We assumed SAR operation 100 of the time,
therefore, the SAR only needed 80 area coverage - At 90 availability, the SAR needs to provide 89
area coverage (range increase to 102km) to
achieve overall 80 (threshold) target coverage - We decided to leave the baseline alone and finish
the first design cycle before making the change? - During any design cycle, there will always be
design and requirement disconnects - If we change baseline every time we find a
disconnect, we would never complete even one
analysis cycle - Orderly changes occur at the end of an analysis
cycle
24-6
7Review - fuselage considerations
- Our methodology sizes the fuselage as a
cylindrical center section with elliptical fore
and aft bodies - The fuselage is defined in absolute and relative
terms - Fuselage equivalent diameter (Df-eq) is absolute
but is iterated to assure volume required
available - Relative variables are length to equivalent
diameter ratio (Lf/Df-eq), and forebody and
aftbody length ratios - At a maximum speed of 282kts, a relatively low
fineness ratio (Lf/Df-eq) can be used with
minimum drag impact - We select a nominal value of 7.0 (cigar shape)
to minimize wetted area (a weight and drag
driver) - If we assume the fuselage forebody length
1Df-eq and the aftbody 2Df-eq, center section
length (Lc) ratio will be 4/7 or Lc/Lf 0.571
24-7
8Review - fuselage volume
- To get started we put payload in the fuselage
center section, close to the vehicle center of
gravity - It accommodates a payload weight of 720 lbm and
a volume of 26.55 cuft (density 27.1 pcf) - It also carries some fuel (amount TBD, density
50 pcf at packing factor PF 0.8 or installed
density 40 pcf) - And it carries airframe structure and some
systems (landing gear, etc., nominal installed
density 25 pcf) - We assume other systems are in the fore
aftbodies - We assume center section volume (Vc) is allocated
entirely to payload at a packing factor (PF)
0.7 - Therefore, Vc required 26.55/0.7 37.9 cuft
- Later the spreadsheet will size for actual volume
required
25 pcf is a reasonable estimate for installed
electrical, mechanical systems including
avionics, landing gear and engines
24-8
9Review - fuselage geometry
24-9
10Review - engine installation
- Simple engine installations are always best
unless there are over-riding considerations - Such as high speed, stealth, thrust vectoring,
etc. - Otherwise, complexity reduces overall performance
- Nacelle geometry is driven by engine installation
- TBProp nacelles should be low drag, minimum
length - Our methodology models nacelles like
mini-fuselages - Cylindrical center section, elliptical fore and
aft bodies - Nacelle type is defined by an input wetted area
fraction (vs. a typical podded nacelle) - 1.0 typical podded commercial jet transport
nacelle - 0.5 nacelle attached to fuselage (e.g. Global
Hawk) - 0.0 engine buried in the fuselage (e.g.
DarkStar) - We assume a single, attached, aft mounted engine
- L/Dnac 4 k1 0.2 k2 0.4 Dnac/Deng
1.25 nacelle Swet fraction 0.5
Change from lesson 20
24-10
11Wing considerations (expanded)
- Our design methodology sizes the wing separate
from the fuselage - We have 4 primary decisions to make size
(planform area or Sref), shape (Aspect ratio or
AR and taper ratio or ?), sweep (?) and thickness
ratio (t/c) - Planform area will be determined by wing loading
(W0/Sref), a primary design variable - A reasonable value for a turboprop is ? 30-60 psf
(PredatorB RayAD Table 5.5) - We pick a value of 30 and later will refine the
estimate to ensure takeoff/cruise/loiter
requirements are met - AR is a primary wing design variable determined
by speed, maneuverability and lift-to-drag (L/D
or LoD) ratio - High AR generally means high LoD (gt20), low
maneuverability (a few gs) and low speed (lt350
kts) - For long endurance we select a starting value of
20
24-11
12Wing - continued
- Taper ratio (?) is a secondary wing design
variable that drives wing drag due to lift
achieved vs. a theoretical minimum (see RayAD
Fig. 4-23) - A nominal value is 0.5 selected and needs no
further pre-concept design trade - Wing sweep is driven by speed, at a maximum speed
of 282 kts we have no need for wing sweep - Wing t/c has a major impact on wing weight, the
higher the t/c, the lighter the wing weight - High t/c increases drag but trades favorably
against wing weight at low speed - At 282 kts we select a nominal maximum value (t/c
0.13), it needs no further pre-concept design
trades - Of the wing design variables selected, only
W0/Sref and AR need to be traded for our speed
range
24-12
13Review - wing volume
- Another concept design wing consideration is
volume available for fuel - Wing fuel volume is defined in terms of percent
wing chord and span available for tankage - Typically wing tanks start at the wing root or
fuselage attachment and can extend to or near the
wing tip - For our UAV application we assume the wing tank
starts at 10 span and extends to 90 span (?1
0.1, ?2 0.9). We estimate tank chord at 50
wing chord (Kc 0.5) and fuel packing factor at
0.8 - These initial estimates are not upper limit
values - The tanks could extend from fuselage centerline
to wing tip if required (?1 0, ?2 1) but it
is unlikely that tank chord will exceed the
assumed 50 - Fuel density again is estimated at 50 pcf at PF
0.8
Another change
24-13
14Tail considerations
- During pre-concept design, our primary concern is
tail type and size - We use parametric (historical) data to estimate
both horizontal and vertical tail size required - For V-tails we size using projected areas
- During conceptual design we will resize to ensure
adequate stability and control and handling
qualities - Our geometry model defines horizontal tail area
(Sht) and vertical tail area (Svt) as fractions
of Sref or - Sht Kht?Sref and Svt Kvt?Sref
- Where for an average air vehicle
- Kht .25 and Kvt .15
- Average V-tail area would be 0.39Sref
- Our UAV will use an average V-tail area fraction
Another change
24-14
15Review - aerodynamic model
- Our aerodynamic model estimates lift and drag
from geometry and input values of equivalent skin
friction coefficient (Cfe) and Oswald wing
efficiency (e) - We will assume a state-of-the art Cfe value of
0.0035 to reflect our assumption of good surface
smoothness (See RayAD Table 12.3) - Wing efficiency (e) is estimated at a value of
0.8 using parametric data for an unswept wing at
AR 20 - The model uses these inputs to calculate minimum
and induced drag coefficients (Cd0 and Cdi) - Lift coefficients are calculated from weight (W),
Sref and flight dynamic pressure (q) where - Cl W/(q?Sref)
- Loiter and climb q are assumed to be at max L/D
24-15
16Review - weight model
- Bottoms-up weight estimates are based on a
combination of methods - Airframe weight estimates use input unit weights
and calculated wetted or planform areas - Propulsion weight is based on T0/Weng or
Bhp0/Weng - Landing gear weight (Wlg) is based on an input
gross weight (W0) fraction where Wlg Kwlg?W0 - Other system weights (Wsys) use another input
weight fraction where Wsys Ksys?W0 - We will use nominal values from RayAD Table 15.2
adjusted for a typical turboprop UAV where - Wing unit weight (Uww) 3.25 psf
- Tail unit weight (Utw) 2.6 psf
- Fuselage/nacelle unit weight (Ufpnw) 1.8 psf
- Klg 0.05 and Ksys (or all-else empty ) 0.12
- We also include an empty weight margin (5)
Another change
24-16
17Review - volume model
- Volume requirements are calculated while
iterating bottoms-up weight and geometry - Fuel, payload, system and landing gear weights
are used to estimate fuselage and pod (if any)
volume required - Fuel volume fuel weight/( fuel density?PF )
- Payload volume 26.55 cuft (chart 11-61)
- Landing gear volume gear weight/25 pcf
- Other systems volume other systems weight/25
pcf - Volume available is calculated by the geometry
model using input estimates of useable volume per
component - Nominal value 0.7 for fuselage and pods (if
any) - Nominal value for nacelles is a configuration
variable - In our baseline, we assume the nacelle is
unavailable for anything except the engine, inlet
and nozzle - Df-eq is adjusted to equate volume available and
volume required plus 30 margin (or PF 0.7/1.3
0.54)
Final change
24-17
18Review - propulsion model
- Our propulsion model is a simplified cycle deck
used to represent both turboprops (TBP) and
turbofans (TBF) - Engines are sized at sea level static conditions
(h0, V0) based on input values of thrust or
power to gross weight required (T0/W0 or Bhp0/W0) - The models predict performance at other values of
altitude and speed by assuming that power or
thrust vary primarily with airflow (WdotA) - Differences between TBFs and TBPs are determined
by input values of bypass ratio (BPR), fan
specific thrust (T0-fan/W0dotA-fan) and a
reference speed (V0) - Our UAV studies will use the TBP and TBF values
in Lesson 18, chart 18.33
24-18
19Review - air vehicle performance
- Air vehicle performance is estimated using
calculated values of gross weight (W0), empty
weight (We or EW) and fuel weight (Wf) - The mission is calculated forward and backward
- Forward calculations use simplified performance
models to estimate fuel required for engine
start-taxi-takeoff, climb and cruise out to
initial loiter location - Another calculation works backward from empty
weight and calculates fuel required for landing
reserves and loiter, cruise back, dash from
target, combat over the target (including payload
drop) and dash to target - The sum of the two subtracted from the starting
fuel weight is the amount of fuel available for
loiter - A Breguet endurance calculation using the pre and
post loiter weights then predicts operational
endurance
24-19
20Review - mission description
- We will define our mission to meet maximum
distance requirements for each of the two mission
types - WAS cruise out 255nm at 27.4Kft
- Baseline operational endurance is 12 hr, with
trade study options for 6 hr and 24 hr endurance - Positive ID mission cruise out 200 nm _at_ TBD Kft
- We will size for 12 hrs over the surveillance
area, including loiter and ingress/egress - The positive ID mission requires a
- 282 kt dash (out and back)
- Based on requirement for
- 1 target ID per hour
- 3000ft balanced field length
- takeoff and landing requirements
- are assumed
- - Clto 1.49, Bhp0/W0 0.092
24-20
21WAS mission definition
See Lesson 21 performance
WAS MISSION Engine start taxi time 30
min Start taxi thrust level 10 Takeoff (max
thrust time) 1 min Climb cruise out distance
255nm Cruise altitude 27.4Kft Cruise speed
TBD Ingress/egress altitude n/a Ingress/egress
speed n/a Ingress/egress dist. 0 Cruise back
distance 255 nm Landing loiter time 1
hr Landing fuel reserves 5
24-21
22ID mission definition
POSITIVE ID MISSION Engine start taxi time
30 min Start taxi thrust level 10 Takeoff
(max thrust time) 1 min Climb cruise out
distance 200nm Cruise altitude ?10Kft Cruise
speed TBD Ingress/egress altitude
10Kft Ingress/egress speed 282
kts Ingress/egress dist. N?282 nm where N
number of searches Cruise back distance 200
nm Landing loiter time 1 hr Landing fuel
reserves 5
24-23
23Review - spreadsheet model
- Configurations are defined in absolute and
relative terms - Payload weight, volume and number of engines are
described in absolute terms (forebody, aftbody
and length are relative to diameter) - Fuselage diameter can be input as an absolute
value or as a variable to meet volume
requirements - - Aero and propulsion parameters (Cfe, e, Fsp0,
f/a, etc.) are defined as absolute values - - Everything else (wing, tails area, engines,
nacelles,etc.) is defined in relative terms (AR,
W0/Sref, BHp0/W0, Sht/Sref, BHp0/Weng, Waf/Sref,
UWW, etc.) - Missions are described in absolute terms
- Takeoff times, operating radius, speed, altitude,
etc - Most variables are input via worksheet Overall,
some are input via worksheet Mperf - - Mperf inputs are used to converge the overall
solution
24-24
24Overall worksheet inputs
- 48 Nacelle k1 0.2
- 49 Nacelle k2 0.4
- 50 Nacelle w/h 1.0
- 51 Nacelle Swet fract. 0.5
- Nac. Non-prop PF 0.0
- 54 Number of pods 0
- 55 Pod offset/(b/2) n/a
- 56 Pod D-eq/Df-eq n/a
- 57 Pod L/D-eq n/a
- 58 Pod k1 n/a
- 59 Pod k2 n/a
- Pod w/h n/a
- Pod PF 0.0
- 65 Taper ratio 0.5
- 66 Thickness ratio 0.13
- 67 Tank chord ratio 0.5
- 68 Tank span ratio 1 0.1
- 69 Tank span ratio 2 0.9
- 72 Horiz tail area 0.39
- Row Description Value
- 08 Volume margin 1.3
- 09 Headwind (kt) 0
- Climb V/Vstall 1.25
- 11 Loiter V/Vstall 1.1
- 13 Idle time (min) 30
- 14 Idle power () 10
- 15 Takeoff time (min) 1
- 16 Takeoff param 220
- 17 Takeoff CL 1.5
- 18 Takeoff altitude 0
- 31 Landing loiter (min) 60
- 32 Landing reserve .05
- 34 of fuselages 1
- 35 Fuse. offset/(b/2) 0
- 36 Df (starting value) 2.29
- 37 Lf/Df-equiv 7
- 38 Fuselage k1 .143
- 39 Fuselage k2 .286
82 Model Bhp0 default 83 Eng Fsp 90 84 Fan (prop)
Fsp 5 85 Ref speed (kts) 50 86 Bypass
ratio 133 87 Prop efficiency 0.8 88 Fuel/air
ratio default 89 Engine L/D-eq 2.5 92 Starting
W0 default 93 Engine Hp0/Weng 2.25 94 Eng. inst.
wt. factor 1.3 95 Land gear fraction .05 96 System
wt.fract. 0.12 97 Fusenac unit
wt. 1.8 98 Wing unit wt. 3.25 99 Horiz tail unit
wt. 2.6 100 Vert. Tail unit wt. 2.6 101 Empty wt.
margin .05 102 Misc. wt. Fraction .02 104 Fuel
density 50 105 Fuel PF 0.8 106 Engine rho
(unstl) 22 107 LG rho (instal) 25 108 System
rho (instl)25 109 Payload rho (instl) 27.12
24-25
25Mperf worksheet inputs - WAS
- Row Description Value
- h4 (kft) 27.4
- h7-cruise (kft) 27.4
- h7-loiter (kft) 27.4
- h8-loiter (kft) 27.4
- h9-10,13-14 (kft) 27.4
- h11-12 (kft) 27.4
- h14 (kft) 27.4
- h17 (kft) 27.4
- V-cruise 180
- V-ingress ( egress) 282
- Op dist (nm) 255
- Ingress/egress (nm) 0
- Combat (min) 0
- Max climb M 0.48
- T factor (cruiseclmb) 1
- T factor (op loiter) 1
- T factor (ingress/combat) 1
- SFC factor (cruiseclmb) 1
Design mission definition
- Row Description Value
- 52 Df-equiv 0 to iterate
- 2.29 fixed Df
- 56 W0/Sref 30
- 57 Fuel fraction TBD
- 58 Additional fuel 0
- 61 Bhp0/W0 TBD
- 64 Payload retained (lbm) 720
- 65 Payload dropped (lbm) 0
- Aspect ratio 20
- Wing efficiency (e) 0.8
24-26
26Mperf worksheet inputs - ID
- Row Description Value
- h4 (kft) 10
- h7-cruise (kft) 10
- h7-loiter (kft) 10
- h8-loiter (kft) 10
- h9-10,13-14 (kft) 10
- h11-12 (kft) 10
- h14 (kft) 10
- h17 (kft) 10
- V-cruise 180
- V-ingress ( egress) 282
- Op dist (nm) 200
- Ingress dist.(nm) 141
- Combat (min) 0
Secondary mission definition
- Row Description Va
-
- 58 Additional fuel 0.0
- 64 Payload retained (lbm) 720
- 65 Payload dropped (lbm) 0
- Aspect ratio 20
- Wing efficiency (e) 0.8
- Lamda 0.5
24-27
27Initial sizing
- The spreadsheet iterates the air vehicle to meet
input weight, geometry,volume and propulsion
requirements - Bottoms-up weights must be iterated by definition
- Geometry is adjusted with each weight iteration
to maintain proper fuselage-wing-tail
relationships - Engine and nacelle size is adjusted as required
- Waf/Sref and volume required/available are the
variables used to converge weight and geometry
during iteration - Waf/Sref is used as an input to the weight model
and an output from the geometry model - Fuselage diameter is adjusted to meet volume
required - When the values converge, mission model
performance estimates will be valid, even though - - Mission range may be short (or long)
- - Climb rate may be inadequate (even negative)
- Cl may be too high (exceeding stall margins)
24-28
28Speed and performance margins
- Civil/military certification requirements and
good operating practice specify that certain
speed and performance be mainatined. Typical
values - Takeoff (V/Vstall ? 1.1)
- Climb (V/Vstall ? 1.20)
- Cruise (V/Vstall ? not defined)
- Landing approach (V/Vstall ? 1.2-1.3)
- Service ceiling 100 fpm
- UAVs have not yet established criteria but safety
and good practice will dictate something similar - One difference will be operational loiter speed
margin, to get high LoD we need to operate at
V/Stall ? 1.1 - For design project purposes, we will apply the
above margins except we require enough thrust
margin for 300 fpm (Ps 5 fps)
24-28a
29Performance convergence
- Worksheet Mperf accepts new inputs to improve or
adjust performance - Fuel fraction (FF) is adjusted to meet range
and/or endurance requirements - Bhp0/W0 or T0/W0 is adjusted to meet takeoff or
rate of climb requirements or achieve consistency
(see below) - W0/Sref is adjusted to improve LoD or takeoff
distance - AR and wing efficiency (e) can also be traded to
improve overall performance - The values are adjusted by hand until a
satisfactory solution is achieved - This includes ensuring adequate (and consistent,
if configurations are being compared) margins
such as residual ROC, T-D and stall margin - Bhp0/W0 or T0/W0 is further iterated to achieve
the desired level of consistency
24-29
30Spreadsheet demonstration
Notional values
24-30
31Spreadsheet results
- Engine size mismatch for WAS and ID mission
- Negative Ps at 10 Kft, 282 Kt - requires Bhp0/W0
increase to 0.10 - Cruise speeds near LoDmax yielded best
performance - 161 kts for WAS _at_ 17 Kft, 144 kts for ID at 10Kft
- Positive ID was the driving mission
- Baseline 12 hour operational endurance WAS air
vehicle sized to W0 3304 lbm, EW 1912 lbm - For 12 IDs in 12 hrs, W0 16534 lbm, EW
7996lbm - Also required increased diameter fuselage (to 4.5
ft) to accommodate additional fuel required - Changing wing loading (W0/Sref) yielded little
benefit - Higher loiter and cruise speeds offset smaller
wing - Lower increased wing size offset smaller engine
- Changing aspect ratio (AR) was of little benefit
- Increased AR (25) yielded small weight improvement
Earlier example problem
24-31
32WAS concept
W0 3080 lbm EW 1744 lbm AR 20 Sref
77sqft Swet 381 sqft Payload 707 lbm Fuel
603 lbm Power 373 Bhp TBProp Max endurance
15.3 hrs Max speed 350 kts
Note not to scale
39.2
Earlier example problem
This air vehicle can stay on station at 17Kft for
12 hours at an operating radius of 255 nm
2.82
19.7
24-32
33ID concept
W0 16534 lbm EW 7996 lbm AR 20 Sref 413
sqft Swet 366 sqft Payload 707 lbm Fuel
7660 lbm Power 2000 Bhp TBProp Max endurance
57.3 hrs Max speed 350 kts
Note not to scale
Earlier example problem
This air vehicle can perform 12 IDs in 12 hours
at 10Kft at an operating radius of 200 nm
24-33
34Parametric comparisons
- During every step of the PCD process, we always
test our performance estimates vs. data on known
aircraft - This is essential to ensure our results make
sense - Critical comparisons for our concept are defined
by Breguet range and endurance equation variables - LoD, SFC and weights (airframe, propulsion and
EW) - LoD comparison
- We would compare our estimates to RayAD Fig 3.5
but our vehicle is beyond Raymers parametric
range - For AR20, Sref 77, Swet 381 and Sref 413,
Swet 1614 our wetted ARs (A/Swet/Sref)
4.0 and 5.1 vs. Raymers maximum value of 2.4 - But from the trend of the data our assessed
values of LoDmax 27-30 look slightly optimistic - We can also compare to Global Hawk with a
reported LoDmax of 33-34 at an estimated wetted
AR ? 7
24-34
35LoD comparison
- This data shows that our model LoDmax estimate
may be optimistic by about 5 - We will put a 10 multiplier on our Cdmin
estimate
- to correct for it (Cell B25 1.1)
- Why do you suppose we corrected a 5 high LoD
estimate by increasing minimum drag by 10? - Could we have done it another way?
Model estimate
Corrected value
Manned aircraft data source LM Aero data
handbook
24-35
36SFC comparisons
Data source Roskam AP
Note turboprop SFC is defined in terms of
horsepower. Our turboprop model converts
horsepower to thrust and uses TSFC for
performance calculations
24-36
37Weight comparisons
This data shows that our calculated weights
are low compared to regional turboprops but high
compared to U-2 and Global Hawk - But the
results are close enough for now Another weight
related issue is operating a high AR wing at 280
kts at low altitude (flutter and gust potential)
24-37
38Final comparison
GA Altair (Predator B variant) W0 7000 lbm EW
? Sref 315 sqft AR 23.5 Payload 750
lbm Fuel 3000 lbm Power 700Hp
TPE-331-10T Endurance 32 hrs Max speed 210
kts
With these inputs our concept would have a 49
hour endurance at 50 Kft but require a 45
airframe weight reduction
24-38
39Overall conclusions
- Data comparison shows that our model estimates
are reasonable, although some are probably
optimistic - We have already decided to put a factor on our
drag estimates to reduce LoDmax to the data trend
line - We will also should put a 10 multiplier on
ingress-egress SFC to put it in the middle of the
parametric range - But we will have to wait for conceptual design to
see if our weights are optimistic or pessimistic - Some people, however, will put on additional
margins to ensure early estimates will be
achievable - Typically 5-10 on SFC and drag and 10-20 on
weight - Putting additional margins on our estimates,
however, should not be necessary since our
parametric data already shows they should be
generally achievable - Adding more margin would be overly conservative
and negate otherwise valid design solutions
24-39
40Adjusted baseline
Note not to scale
W0 3178 lbm EW 1792 lbm AR 20 Sref 79
sqft Swet 391 sqft Payload 707 lbm Fuel 651
lbm Power 384 Bhp TBProp Max endurance 15.3
hrs Max speed 350 kts
Earlier example problem
This air vehicle has 10 drag and 280 Kt SFC
multipliers and can stay on station for 12 hours
at 17Kft or perform 2.8 ID missions at 10Kft in
2.8 hours
24-40
41Balancing mission requirements
- Since size requirements for vehicles to do the
WAS and ID missions are so different, we will do
a study to determine which size vehicle can do
both missions at the lowest cost using the
following approach - Size WAS concepts for 6, 12, 24 and 48 hours of
loiter - ID mission performance will be a fallout
- We will then calculate the number of aircraft
required for 24/7 surveillance for 30 days for
both missions - We will do simple weight based cost estimates
- Air frame and systems less installed propulsion
200/lbm EW-Weng for ICProp (Lesson 8-45), 400
for TBProp, 800/lb for TBFan - Payload 5000 per pound
- Engine 150/lbm for ICProp, 700/lbm for
TBProp, 1000/lb for TBFan - Finally we will do a simple cost effectives
comparison to select our preferred size concept
24-41
42WAS sortie rate elements
- In order to estimate number of aircraft required
we have to perform a preliminary sortie rate
analysis - See Lesson 7 (Sortie Rate) chart 10,
- We will use the maintenance and planning times in
chart SRR-10 as representative values - The nominal mission ground times required are
- Maintenance and flight preparations 180 minutes
- Preflight checks - 6 minutes
- Post landing checks and taxi - 25 minutes
- The remaining elements of the sortie are
- Engine start-taxi-takeoff - 31 minutes
- Time to climb to 17 Kft 6.7 minutes
- Outbound and return cruise time - 184 minutes
- WAS - 6, 12, 24 or 48 hours
- Landing loiter 60 minutes
- Land 3 minutes
- Use RAND data and adjust for UCAV vs. UAV
- Include maintenance time f(flight hrs)
24-42
43Sortie rate elements
UCAV unique
Include in flight time
Therefore SR(UAV) ? 24hours/1.68?FT
4.9 SR(UCAV) ? 24hours/1.68?FT 5.9
http//www.rand.org/publications/MR/MR1028/
24-42a
44ID sortie rate elements
- The ID mission sortie is identical to the WAS
mission except for the flight times where the
spreadsheet values are - Time to climb to 10 Kft 3.5 minutes
- Outbound and return cruise time - 163 minutes
- IDs 1 hour each
Earlier example problem
Still valid
Still valid
24-43
45WAS coverage requirements
- Time required to fly a WAS sortie are
- 6 hr loiter - 496 min. 6 hrs 14.26 hrs
- 12 hr loiter - 20.26 hrs
- 24 hr loiter - 32.26 hrs
- 48 hr loiter - 56.26 hrs
- The number of missions an air vehicle can fly in
30 days vs. the number required, therefore, are - 6 hr loiter - able to fly 50.5 missions vs. 480
required - 12 hr loiter - can fly 35.5 missions vs. 240
required - 24 hr loiter - can fly 22.3 missions vs. 120
required - 48 hr loiter - can fly 12.8 missions vs. 60
required - The number of flight vehicles required,
therefore, are - 6 hr loiter - 480/50.5 9.5 ? 10
- 12 hr loiter - 240/35.5 6.8 ? 7
- 24 hr loiter - 120/22.3 5.4 ? 6
- 48 hr loiter - 60/12.8 4.7 ? 5
Earlier example problem
24-44
46WAS air vehicles required
- The total number of air vehicles required are
greater than the number required to meet flight
requirements - We assume one air vehicle is always on standby in
case one of the flight vehicles has a problem - And we assume all vehicles vehicle under go
maintenance at rate of 3.4hrs 0.68Flight Time - The total number of air vehicles required for
continuous WAS mission coverage, therefore, are - 6 hr loiter - 10 1 11
- 12 hr loiter - 7 1 8
- 24 hr loiter - 6 1 7
- 48 hr loiter - 5 1 6
Earlier example problem
24-45
47WAS air vehicle cost
- At a nominal air vehicle cost of 400 per pound
of empty weight and a nominal payload cost of
5000 per pound, we can calculate WAS costs as
follows - 6 hr loiter - 12 air vehicles 6.6M, Payloads
38.9M - Total cost 45.4M
- 12 hr loiter - 9 air vehicles 5.7M, Payloads
28.3M - Total cost 34.0M
- 24 hr loiter - 8 air vehicles 7.3M, Payloads
24.7M - Total cost 32.1M
- 48 hr loiter - 7 air vehicles 16.9M, Payloads
21.2M - Total cost 38.1M
- Earlier example problem
- You should include engines as separate cost
element
24-46
48ID mission requirements
- Assuming one target identification per hour, the
times required to fly an ID sortie are - 1 ID 471.5 minutes 1 hrs 8.86 hrs
- 2 IDs - 9.86 hrs
- 4 IDs - 11.86 hrs and 8 IDs - 15.86 hrs
- The number of missions an air vehicle can fly in
30 days vs. the number of IDs required are - 1 ID able to fly 81.3 missions vs. 720 required
- 2 IDs - can fly 73.0 missions vs. 360 required
- 4 IDs - can fly 60.7 missions vs. 180 required
- 8 IDs - can fly 45.4 missions vs. 90 required
- The number of flight vehicles required,
therefore, are - 1 ID - 720/81.3 8.85 ? 9
- 2 IDs - 360/73.0 4.93 ? 5
- 4 IDs - 180/60.7 2.96 ? 3
- 8 IDs - 90/45.4 1.98 ? 2
Earlier example problem
24-47
49Equivalent WAS coverage
- WAS sortie equivalent IDs are
- 6 hr loiter 1.5 IDs
- 12 hr loiter 2.8 IDs
- 24 hr loiter 5.1 IDs
- 48 hr loiter 9.5 IDs
- The number of ID missions a WAS air vehicle can
fly in 30 days vs. the number required,
therefore, are - 1.5 IDs - can fly 76.8 missions vs. 478.9
required - 2.8 IDs - can fly 67.7 missions vs. 261 required
- 5.1 IDs - can fly 55.4 missions vs. 141.2
required - 9.5 IDs - can fly 41.4 missions vs. 75.9 required
- Total number of ID vehicles required, therefore,
are - 6 hr loiter or 1.5 IDs - 478.9/76.8 6.2 ? 8
- 12 hr loiter or 2.8 IDs - 261/67.7 3.9 ? 5
- 24 hr loiter or 5.1 IDs - 141.2/55.4 2.5 ? 4
- 48 hr loiter or 9.5 IDs 75.9/41.4 1.8 ? 3
If WAS and ID vehicles are identical, a 2nd
back up is not required
Earlier example problem
24-48
50ID air vehicle cost
- At a nominal air vehicle cost of 400 per pound
of empty weight and a nominal payload cost of
5000 per pound, ID costs are - 1.5 IDs 8 air vehicles 4.2M, Payloads
24.7M - Total cost 29.0M
- 2.8 IDs - 5 air vehicles 2.9M, Payloads
14.1M - Total cost 17.0M
- 5.1 IDs 4 air vehicles 3.1M, Payloads
10.6M - Total cost 13.7M
- 9.5 IDs 3 air vehicles 5.6M, Payloads
7.1M - Total cost 12.7M
Earlier example problem
24-49
51Total cost
- The most cost effective single vehicle solution
for both missions is an 18 hour WAS vehicle that
can also perform 4 IDS - Therefore ID air vehicles launch once every 4
hours while WAS air vehicles launch once every 18
hours for an average of 7.3 missions per day
24-50
52Resulting configuration
W0 3911 lbm EW 2153 lbm AR 20 Sref 98
sqft Swet 464 sqft Payload 707 lbm Fuel
1016 lbm Power 473 Bhp TBProp Max endurance
21.4 hrs Max speed 350 kts
Note not to scale
Earlier example problem
This air vehicle can stay on station for 18 hours
at 17Kft or perform 4 ID missions at 10Kft in 4
hours
24-51
53What it really looks like
W0 3911 lbm EW 2153 lbm AR 20 Sref 98
sqft Swet 464 sqft Payload 707 lbm Fuel
1016 lbm Power 473 Bhp TBProp Max endurance
21.4 hrs Max speed 350 kts
Earlier example problem
Looks like a ½ scale TBProp Global Hawk
This air vehicle can stay on station for 18 hours
at 17Kft or perform 4 ID missions at 10Kft in 4
hours
Approximately to scale
24-52
54TBProp status
- We have completed our first pre-concept design
cycle - We have explored the basic concept and found that
one 4000 lbm class vehicle can meet both WAS and
ID mission requirements at minimum cost - The vehicle size is reasonable and the internal
volume available should accommodate the required
payloads, propulsion, systems and fuel - We have shown that the required weight,
aerodynamic and propulsion performance levels are
consistent with the state-of the art and should
be achievable - However, we have not completed pre-concept design
- We still have a requirement problem resulting
from the assumption of 100 availability vs. 90
flyable days - We also need to conduct goal vs. threshold and
and explore alternative TBProp architectures
(Charts 8-59/63) - And we need to evaluate alternate propulsion
concepts
24-52
55Alternative propulsion concepts
- One of our early decisions was to compare TBFan
and IC engine concepts against our TBProp
baseline - But only if an IC engine of appropriate size is
available - However, the minimum size TBProp required to
perform the ID mission is 420 Hp - This minimum power required exceeds the size of
the largest available IC engine - Therefore, we can drop IC the engine from our
study on the basis of size incompatibility - TBFan concept evaluation will be straight-forward
with few decisions required - At the relatively low speeds and altitudes
associated with our mission, there is only one
viable option - A fuel efficient high bypass ratio (BPR) engine
- We select a nominal BPR5 as being representative
of high efficiency engines of this type
24-53
56TBF alternative
- We develop a spreadsheet model nearly identical
to a TBProp, the major differences being engine
definition - From PCD Review Part 1.5, PRR-14, nominal T0/Weng
5.5 installed thrust loss ? 10 (for good
installation) - From PRR-26 TBFan parametric data we select a fan
specific thrust value of 25 sec for BPR 5 - From PRR-22 we select the remaining model inputs
- Geometrically, the only difference will be the
nacelle - TBFan nacelles are modeled as open-ended
cylinders where by definition k1n k2n 0 - We assume nominal values of Lnac/Dnac 4 and
Dnac/Deng 1.25 - Takeoff performance will also be different, a
3000 ft balanced field length for a jet (ground
roll of 1500 ft) requires a thrust based takeoff
parameter of 100
24-4
57Overall TBFan inputs
- Col Description Value
- 03 R-start (nm) default
- 17 Headwind (kt) 0
- 18 Clmax 1.2
- 19 V/Vstall 1.25
- 25 LoD start default
- 26 SFC start default
- 27 EWF start default
- 28 Kttoc start default
- 31 Idle time (min) 30
- 32 Idle power () 10
- 33 Takeoff time (min) 1
- 34 Takeoff param 100
- Takeoff CL 1.5
- Takeoff altitude 0
- Landing loiter (min) 60
- Landing reserve .05
- of fuselages 1
- Fuse. offset/(b/2) 0
- Col Description Value
- Dn-eq/Dengine 1.25
- Nacelle k1 0
- Nacelle k2 0
- Nacelle Swet fract. 0.5
- Nacelle w/h 1.0
- Number of pods 0
- Pod offset/(b/2) n/a
- Pod D-eq/Df-eq n/a
- Pod L/D-eq n/a
- Pod k1 n/a
- Pod k2 n/a
- Pod w/h n/a
- Taper ratio 0.3
- Thickness ratio 0.13
- Tank chord ratio 0.5
- Tank span ratio 1 0.1
- Tank span ratio 2 0.9
- Tank pack factor 0.8
Changes from TBProp shown in red
- Col Description Value
- of engines 1
- Model Bhp0 default
- Eng Fsp 90
- Fan Fsp 25
- Ref speed (kts) 100
- Bypass ratio 5
- Installed T0 0.9
- Fuel/air ratio default
- Engine L/D-eq n/a
- Engine density n/a
- Starting W0 default
- Engine T0/Weng 5.5
- Eng. inst. wt. factor 1.3
- Land gear fraction .05
- System wt.fraction 0.1
- Fusenac unit wt. 3
- Wing unit wt. 5
- Horiz tail unit wt. 3
Earlier Spreadsheet
24-55
58Mperf TBFan inputs
Changes from TBProp shown in red
- Col Description Value
- h4 (kft) 17
- h7-cruise (kft) 17
- h7-loiter (kft) 17
- h8-loiter (kft) 17
- h9-10,13-14 (kft) 10
- h11-12 (kft) 10
- h14 (kft) 17
- h17 (kft) 17
- Vcruise 200
- V-ingress/egress 280
- WAS op dist (nm) 255
- ID op dist (nm) 200
- WAS dash (nm) 0
- ID dash (nm) 141
- Combat (min) 0
- Max climb M 0.48
- T factor (cruise) 1
- T factor (loiter) 1
- Col Description Value
- Airframe weight factor 1
- Fusenac Swet factor 1
- Df-equiv 3.04
- Waf/Sref (input) TBD
- W0/Sref 40
- Fuel fraction TBD
- Payload retained (lbm) 707
- Payload dropped (lbm) 0
- T0/W0 TBD
- Aspect ratio 20
Earlier spreadsheet
24-56
59TBFan WAS concept
W0 4865 lbm EW 2454 lbm AR 20 Sref 122
sqft Swet 517 sqft Payload 707 lbm Fuel
1656 lbm Engine 1299 Lbf TBFan Max endurance
15.4 hrs Max speed 280 kts
Note not to scale
Earlier example problem
- This air vehicle can stay on station at 17Kft for
12 hours at an operating radius of 255 nm - It is 41 heavier than a TBProp with the same
performance
24-57
60TBFan ID concept
W0 5660 lbm EW 2761 lbm AR 20 Sref 141
sqft Swet 573 sqft Payload 707 lbm Fuel
2133 lbm Engine 1511 Lbf TBFan Max endurance
18.8 hrs Max speed 280 kts
Note not to scale
Earlier example problem
- This air vehicle can perform one ID at 10Kft at
an operating radius of 200 nm - It is 39 heavier than a TBProp with the same
performance
24-58
61TBFan conclusions
- The TBFan alternative is bigger and about 40
heavier than the TBProp baseline for both design
missions - The relatively low-speeds and altitudes required
really are optimum for TBProp operations - TBFan cycles are better suited for higher speeds
and altitudes - We can now confidently drop the TBFan concept
from further consideration - And document the results of our alternative
concept study as rationale for our future
exclusive focus on TBProp engines - We will also document the rationale for selecting
an 18 hour WAS capability for our preferred
baseline to meet both WAS and ID mission
requirements
24-59
62TBProp continued
- Even though we have concluded that the TBProp is
the best overall solution to meet mission
requirements, we still need to address some
unresolved issues - The impact of 10 of the weather being unflyable
vs. our assumption of a 100 flight rate vs. the
threshold requirement for 80 target coverage - The cost effectiveness of designing for threshold
vs. goal performance - The effectiveness of alternative
- See Lesson 3, charts 13-15
- The support concept required
- Overall system life cycle cost
24-60
63Homework
- Using spreadsheet TBProp.AE261Example.xls and
total mission procurement cost as the figure of
merit, for the TBProp example, do the following
trades (one trade for each team member,
individual grades) - Aspect ratios (AR) of 10-20-25-30 at W0/Sref 30
- W0/Sref of 15-30-45-60 at AR 10
- Aspect ratios (AR) of 10-20-25-30 at W0/Sref 60
- W0/Sref of 15-30-45-60 at AR 30
- 2. Select best combination of W0/Sref and AR and
use TBProp.AE261Example.xls to trade 12-24-48 hr
WAS loiter times (team grade). Select the best
loiter time and explain why it turned out that
way - 3. Use TBProp.AE261Example.xls to determine best
WAS and ID cruise speeds. Explain why (team
grade) - 4. Discuss ABET issues 5 and 6 and document
your conclusions (one paragraph each team
grade)
24-61
64Intermission
24-61