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Property Measurement for Fuel Research: Th D l t f P t T bl S tThe Development of Property Tunable Surrogate
Mixture Models
Thomas J. BrunoThermophysical Properties Division
National Institute of Standards and Technology
Boulder, CO
Why Surrogates?We all know the reasons‐
• Aviation fuels are made of hundreds of componentscomponents– Must meet general specifications,b t an infinite n mber of ombinations an do sobut an infinite number of combinations can do so
Why Surrogates?We all know the reasons‐
• Aviation fuels are made of hundreds ofAviation fuels are made of hundreds of components– Must meet general specifications– Must meet general specifications,but an infinite number of combinations can do so
For well controlled measurements and modeling, a more defined composition is requiredmore defined composition is required.
Why Surrogates?We all know the reasons‐
• Aviation fuels are made of hundreds ofAviation fuels are made of hundreds of components– Must meet general specifications– Must meet general specifications,but an infinite number of combinations can do so
For well controlled measurements and modeling, a more defined composition is requiredmore defined composition is required.
‐repeatability
tractability‐tractability
“Surrogate”Surrogate means different
things tothings to different people
“Surrogate”Surrogate means different
things tothings to different people
Operational Surrogates:
kineticskineticsflame characteristicssafety characteristics
“Surrogate”Surrogate means different
things tothings to different people
Thermophysical propertyproperty
predictive surrogates
Results• For a specific sample (POSF 4658) regressed IBT, full ADC,
density, viscosity, sound speed, thermal conductivity and cetane number to obtain an 8 component surrogate mixturecetane number to obtain an 8 component surrogate mixture capable of representing – the density to within 0.2% at atm. p, – sound speed 3.5%,sound speed 3.5%, – viscosity 3%, – thermal conductivity 4% – cetane number within 1 cetane number.cetane number within 1 cetane number. – The distillation curve is represented to within about 1K.
• For a second sample (POSF 3638) the same procedure wasFor a second sample (POSF 3638) the same procedure was applied and a different 7 component surrogate was obtained, with similar performance.
But,
• POSF 4658 and POSF 3638 are very different:different:
– 4658 was a composite of 5 batches prepared at AFRL– 4658 was a composite of 5 batches, prepared at AFRL– 3638 was an oddball, in spec but with low aromatics
Different how???
Different how???
520
530
500
510
K
480
490
mpe
ratu
re, K
460
470Tem
Jet-A-3638
Jet-A-4658
440
450
Jet-A-3638 model
Jet-A-4658 model
0 0.2 0.4 0.6 0.8 1Volume fraction
Different how???
520
530
500
510
K
ADC Curves 10 – 30 oC apart
480
490
mpe
ratu
re, K
apart
460
470Tem
Jet-A-3638
Jet-A-4658
440
450
Jet-A-3638 model
Jet-A-4658 model
0 0.2 0.4 0.6 0.8 1Volume fraction
Different how???
840
800
820
780
800
kg/m
3
Jet-A-3638
Jet-A-4658
Jet-A-3638 model
Jet-A-4658 model
760
ρ,
Densities
720
740Densities were 1.5 %
apart720
250 270 290 310 330 350 370 390
Temperature, K
Different how??? Viscosities wereViscosities were between 4 and 20 % apart
3000
3500
2000
2500
uPa.
s
Jet-A-3638
1000
1500
Visc
osity
,
Jet-A-4658
Jet-A-3638 model
Jet-A-4658 model
500
1000
0250 270 290 310 330 350 370 390
Temperature, K
A similar problem with RP‐1, RP‐2:A similar problem with RP 1, RP 2:
• Exactly how variable is RPExactly how variable is RP,• And how good is the Refprop model?
B d l l– Based on only one sample
A similar problem with RP‐1, RP‐2:A similar problem with RP 1, RP 2:
• Exactly how variable is RPExactly how variable is RP,• And how good is the Refprop model?
B d l l– Based on only one sample
Which we regarded as if it were brought
down the mountain by Mel Brooks, I mean,
Moses.
A similar problem with RP‐1, RP‐2:A similar problem with RP 1, RP 2:
• Exactly how variable is RPExactly how variable is RP,• And how good is the Refprop model for it?
B d l l– Based on only one sample– 2009 workshop at NIST‐Boulder pointed out need to determine variabilityto determine variability
AFRL EAFB f l t th O th l El– AFRL‐EAFB formulates the Orthogonal Eleven
• 11 separate formulations• 11 separate formulations– Individually mixed from blending stocksAll i– All are in spec
– All are possible deliverables
• Composition, ADC, ρ, µ, ss, etc.d l• Model comparisons
• Experimental part is done:• Lovestead, T.M., Windom, B.C., Rigge, J.R., Nickell, C, Bruno, T.J., Assessment of the
C iti l V i bilit f RP 1 d RP 2 ith th Ad d Di till ti CCompositional Variability of RP‐1 and RP‐2 with the Advanced Distillation Curve Approach, Energy Fuels 2010, 24, 5611–5623
Approach for JP‐8/Jet‐A:Approach for JP 8/Jet A:
• Obtain all JP‐8 and Jet‐A Jet‐A1 we can getObtain all JP 8 and Jet A, Jet A1 we can get– Composition, ADC, ρ, µ, ss, etc.
At the same time,
• Develop a “tunable” Refprop model p p p
Both jobs are about half done!Both jobs are about half done!
For the Measurement Campaign:For the Measurement Campaign:
• We obtained 18 “orthogonal” samples of Jet‐AWe obtained 18 orthogonal samples of Jet A and JP‐8– 5 from local airports– 5 from local airports– 13 from AFRL‐WPAFB (Tim)
210
Vapor Rise Temperature (IBT) Variability of Jet‐A
200.3
204.8
199.0 198 1200
205
210
192.0 190.6
194.7
189.7 191.0 190.5
193.1 193.6
196.5 198.1
190
195
200
, Tk (˚C)
184.2
186.9 187.7
179.6
182.7
180
185
190
emep
ature,
170
175
180Te
165
170
Jet‐A
210
Vapor Rise Temperature (IBT) Variability of Jet‐A
200.3
204.8
199.0 198 1200
205
210
192.0 190.6
194.7
189.7 191.0 190.5
193.1 193.6
196.5 198.1
190
195
200
, Tk (˚C)
184.2
186.9 187.7
179.6
182.7
180
185
190
emep
ature,
170
175
180Te
165
170
Jet‐A
210
Vapor Rise Temperature (IBT) Variability of Jet‐A
200.3
204.8
199.0 198 1200
205
210
192.0 190.6
194.7
189.7 191.0 190.5
193.1 193.6
196.5 198.1
190
195
200
, Tk (˚C)
184.2
186.9 187.7
179.6
182.7
180
185
190
emep
ature,
170
175
180Te
165
170
Jet‐A
280LMO WBU DEN FNL
APA 3602 3638 4597
260APA 3602 3638 4597
4598 4599 4600 4658
4877 5237 5245 5677
5916 6407
220
240
ure, T
k (˚C)
5916 6407
200
220
Tempe
ratu
180
1600 10 20 30 40 50 60 70 80 90 1000 10 20 30 40 50 60 70 80 90 100
Distillate Volume Fraction (%)
280LMO WBU DEN FNL
APA 3602 3638 4597
260APA 3602 3638 4597
4598 4599 4600 4658
4877 5237 5245 5677
5916 6407
220
240
ure, T
k (˚C)
5916 6407
200
220
Tempe
ratu
50 oC
180
50 C
1600 10 20 30 40 50 60 70 80 90 100
25 oC
0 10 20 30 40 50 60 70 80 90 100Distillate Volume Fraction (%)
280Average LMO WBUDEN FNL APA
260
DEN FNL APA3602 3638 45974598 4599 46004658 4877 52375245 5677 5916
240
re, T
k (˚C)
5245 5677 59166407
200
220
Tempe
ratur
180
200T
The average
1600 10 20 30 40 50 60 70 80 90 100
The average
0 10 20 30 40 50 60 70 80 90 100Distillate Volume Fraction (%)
280Average LMO WBU
260
DEN FNL APA3602 3638 45974598 4599 46004658 4877 5237
240
e, T
k (˚C)
5245 5677 59166407
200
220
empe
rature
180
200Te
The standard deviation
1600 10 20 30 40 50 60 70 80 90
The standard deviation
0 10 20 30 40 50 60 70 80 90Distillate Volume Fraction (%)
Tunable Model DevelopmentTunable Model Development
• Work was concurrent with the measurementsWork was concurrent with the measurements on Jet‐A, JP‐8
Tunable Model DevelopmentTunable Model Development
• Work was concurrent with the measurementsWork was concurrent with the measurements on Jet‐A, JP‐8
• Efforts were keptindependent
Tunable Model DevelopmentTunable Model Development
• Work was concurrent with the measurementsWork was concurrent with the measurements on Jet‐A, JP‐8
• Only used 4658, 3638 (the model bases) and 3602 ( hi h i ) 3773 ( fli h li JP 8)3602 (a high aromatic), 3773 (a flightline JP‐8)
Tunable Model DevelopmentTunable Model Development
• Work was concurrent with the measurementsWork was concurrent with the measurements on Jet‐A, JP‐8
• Only used 4658, 3638 (the model bases) and 3602 ( hi h i ) 3773 ( fli h li JP 8)3602 (a high aromatic), 3773 (a flight line JP‐8)
• It had to be simple!– Then, we can refine it with the larger data set, g
• How do you “tune” the model to characterize the fuel?the fuel?– Possibilities:
• points on the distillation curve• points on the distillation curve, • heat of combustion, • a single density, g y,• viscosity,• refractive index, • the cetane number???
“Recipe” for SurrogateRecipe for Surrogate
• Capture volatility• Capture volatility – use IBT (from ADC) to characterize the fuel
• assume ideal solution and apply Raoult’s Law
• you will need an expression for the vapor pressure of each constituent fluid at the IBT of the fuel
“Recipe” for SurrogateRecipe for Surrogate
use 85% point on distillation curve to capture the variation of the– use 85% point on distillation curve to capture the variation of the distillation curve
• empirical relationship that relies on the fact that for a mixture of n-dodecane n-tetradecane propylcyclohexane and 1 3-dodecane, n tetradecane, propylcyclohexane and 1,3diisopropylbenzene, at 85% it is due almost entirely to the C12 and C14 present
i th T i t f th ADC• requires the T85 point from the ADC
“Recipe” for SurrogateRecipe for Surrogate
use the cetane number to characterize the fuel– use the cetane number to characterize the fuel• for mixtures, typically a volume fraction average is used
– approximate the volume fraction using molar volumes of the constituent fluids at a fixed temperature (where they all areconstituent fluids at a fixed temperature (where they all are liquid) and assume no change on mixing
• requires molar volume of constituents at a fixed temperature, and the cetane number of the mixture and the constituents
“Recipe” for SurrogateRecipe for Surrogate
sum of the mole fractions must equal one– sum of the mole fractions must equal one
“Recipe” SummaryRecipe Summary– Now have 4 equations {IBT, T85, cetane, sum mole fractions}, 4
unknowns {x1 x2 x3 x4}unknowns {x1,x2,x3,x4}
– Slate: n-dodecane, n-tetradecane, propylcyclohexane,1,3-diisopropylbenzene
l it!– solve it!
ResultsPOSF 3602(High aromatic)
POSF 3638 POSF 3773(Flightline)
POSF 4658(composite)
d d 0 111 0 282 0 137 0 038n-dodecane 0.111 0.282 0.137 0.038n-tetradecane 0.174 0.046 0.176 0.281propylcyclohexane 0.261 0.353 0.405 0.2991,3-diisopropylbenzene 0.454 0.319 0.282 0.382
ResultsResults• for sample “4658” (the
“composite” sample) 260 0composite sample)– density at 288 K to within
~1% 240.0250.0
260.0
°C
– cetane number within 1– heat of combustion w/in
0.5%210 0
220.0
230.0
mpe
ratu
re, °
– index of refraction w/in 0.3%
– viscosity at 288 K w/in 5% 190.0200.0
210.0
Tem
4658 experimental data4658 new surrogate
– thermal conductivity w/in 10%
– sound speed w/in 3%
180.00 0.2 0.4 0.6 0.8 1
Distillate Volume Fractionp %
ResultsResults• for sample “3638” (the
“low aromatic” sample) 230low aromatic sample)– density at 288 K to within
~0.5%215220225230
°C
– cetane number within 1– heat of combustion w/in
1.5% 200205210215
mpe
ratu
re, °
– index of refraction w/in 0.4%
– viscosity at 288 K w/in 7% 185190195Te
m
3638 experimental data3638 new surrogate
– thermal conductivity w/in 8%
– sound speed w/in 3 %
1800 0.2 0.4 0.6 0.8 1
Distillate Volume Fractionp %
ResultsResults• for sample “3602” (the
“high aromatic” sample) 250high aromatic sample)– density at 288 K to within
~1.9% 230
240
250
– cetane number within 1 cetane number
– heat of combustion –no data 210
220
atur
e, °C
– index of refraction w/in 0.1%– viscosity at 288 K w/in 6%– thermal conductivity w/in
190
200
Tem
pera
3602 experimental data3602 new surrogate
t e a co duct ty /10%
– sound speed w/in 4 %
1800 0.2 0.4 0.6 0.8 1
Distillate Volume Fraction
ResultsResults• for sample “3773” (the
“flightline” sample)250
flightline sample)– density at 288 K to within
~1% 230
240
e, °C
– cetane number within 1– heat of combustion w/in
0.4% 210
220
empe
ratu
re
– index of refraction w/in 0.2%
– viscosity at 288 K –no data190
200Te
3773 experimental data
3773 new surrogate
– thermal conductivity w/in 4%
– sound speed w/in 3%
1800 0.2 0.4 0.6 0.8 1
Distillate Volume Fractionp %
ResultsResults
• “Full” fitting procedure • Shortie “recipe” procedure• Full fitting procedure– requires full models for VLE,
transport, a distillation algorithm, nonlinear
• Shortie recipe procedure– requires only the 4 equations
along with very limited data (IBT, T85, cetane number), a go , o ea
regression algorithm, etc and appropriate data
– Typically has ~8 components
( , 85, ce a e u be ),and nonlinear fitter
– 4 components– Represents
– Represents• density ~0.2 % (at atm.p)• IBT within ~1 K
di till ti ithi 1K
• density ~ 2 % (at atm. p)• IBT within ~ 5 K• distillation curve within ~7 K
%• distillation curve within ~ 1K• cetane number ~3%• sound speed ~3.5%• viscosity ~3%
• cetane number ~3%• sound speed ~3.5 %• viscosity ~7 %• thermal conductivity ~10 %viscosity 3%
• thermal conductivity 4%• thermal conductivity 10 %