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7/23/2019 Fuel Consumption Estimate
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Overview
This workbook calculates the fuel rate required to generate a specified amount of pow
you have the necessary data but that itself often requires some mucking around so I h
Liability
No warrantees are made with respect to the accuracy or applicability of the calculation
The onous is on the user to verfiy that any results obtained are correct and appropriat
Copyright
This spreadsheet is the intellectual property of the author, Andrew Hooks.
ou are free to use it and distribute it however, you may not make it available for down
without prior written consent and you must not remove or obscure any notices regardi
don#t steal or take credit for my work$. Thanks.
Contact
email%
for other tools visit%
SIMPLE ENGINE FUEL GAS CALCULATION !EA" ME
&'( emission. )ata is provided to support both gas and liquid fuel calculations. This i
feedback*firstprincipleseng.net
www.firstprincipleseng.net
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er and estimates the corresponding
ope you find the workbook helpful.
s in this spreadsheet.
for the work being carrying out.
load from any website
g authorship. !"asically
is a fairly trivial calculation once
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Engine #$el con%$&ption ' CO( e&i%%ion%
F$el co&po%ition ' heating val$e
F$el +olrn Normalised +assrn HH-
molmol /// kgkg +0kg
&ontaminants
H(' 1.11 1.11 1.1
N( 1.11 1.11
&'( 1.11 1.11 1.1
H(2 1.11 1.11
3aseous fuels
+ethane 41.11 1.41 1.55 66.7
8thane 6.11 1.16 1.19 6:.4;ropane (.11 1.1( 1.16 61.<
i/"utane :.11 1.1: 1.1= <4.<
n/"utane :.11 1.1: 1.1= <4.6
i/;entane 1.61 1.1: 1.1( <9.4
n/;entane 1.61 1.1: 1.1( <4.1
n/He>ane 1.11 1.11 <9.5
n/Heptane 1.11 1.11 <9.6
n/'ctane 1.11 1.11 <9.=
n/Nonane 1.11 1.11 <9.:
n/)ecane 1.11 1.11 <9.1
?iquid fuels
;etrol 1.11 1.11 <5.=
)iesel !light$ 1.11 1.11 <<.9)iesel !heavy$ 1.11 1.11 <=.9
New: 1.11 1.11
New( 1.11 1.11
New= 1.11 1.11
Total :11.1 :.1 :.1 6<.<
F$el con%$&ption
;ower requirement 6 +@ 6111 k@
?H- ::<6 "Tscf <(.7 +0m=
Thermal efficiency =1B
uel rate )*( ++scfd 1.=4: sm=s
+*, kgs 1.=14 kgs
CO( e&i%%ion%
<< kgkgmol
(-,+. ty 1.976 kgs
+ol. @eight &'(
;oint source &'(
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) ++scfd 1.<76 sm=s
A%i/e0 CO( e&i%%ion% per M1 relative to Methane
uel &'(
3as fuels
+ethane :.1 :.1 :.11
8thane :.9 :.1 :.:<
;ropane (.6 :.1 :.(1
i/"utane =.( :.1 :.(<
?iquid fuels
;etrol 99= :7: :.<7
)iesel !light$ 459 :(1 :.<5
)iesel !heavy$ 497 :16 :.71
+0m= molm=
!+0m=$&:
!molm=$&:
!&'($&:
Note that energy is also e>pended, and &'( emitted, during the production C transport of a fuel.
environmental impact, or to e>amine ways of reducing carbon footprint, you may also want to c
Note that liquid fuelmethane per m= !Dbecause diesel has(11EkgkgmolF D <.more moles per m= more & atoms so ofor methane for the
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Ht -ap. +ol. @t )ensity HH- ?H- Avg & No.
+0kg kgkmol ///
1.1 :9.1 1.9
1.1
1.1 <<.1 :.4
1.1
1.6 :7.1 1.5 =5.5 =5.< :
1.6 =1.: :.= 77.1 76.< (1.< <<.: :.4 4<.1 4=.( =
1.< 69.: (.6 :(:.< :(1.6 < Cambell, Gas Conditi
1.< 69.: (.6 :(:.9 :(1.9 < Campbell Petroleum
1.= 5(.( =.: :<4.= :<9.= 6.1
1.< 5(.( =.: :<4.7 :<9.7 6.1
1.= 97.( =.7 :55.7 :57.< 7.1
1.= :11.( <.( (16.6 (1<.: 5.1
1.= ::<.( <.9 (==.= (=:.9 9.1
1.= :(9.= 6.< (7:.: (64.6 4.1
1.= :<(.= 7.1 (94.: (95.< :1.1
=.= ::1.1 561 =6<56 ==111 9 Note values for liquid
(.= :51.1 971 =96(9 =7661 :( (lias p# Gyftopoulos &(.< (11.1 941 =949( =79<7 :6
1.6 :9.5 1.9 <=.1 <(.7 :.(
kgsm= +0sm= +0sm=
%ttp'..#face#aau#d
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. If you are using this calculation as an indicator of
nsider the source of proposed fuels in the &'( balance.
s, eg. diesel, have a much higher energy content than=79<7E+0m=F =5.<E+0m=F D 497 times higherG$. "ut this isa much higher molar volume than gas !D941Ekgm=F vs :EkgmolF (=.74Esm=F D 1.1< / ie. <.61.1< D :16 times
than gas$. And for each mole of diesel there are :6 timeserall &'( emissions are ::::6496 D :.7 times higher thansame amount of energy release.
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ning & Processing, v1
eries, 1998
uels vary beteen different literature sources !& in reality"# $%ese values ere taen from'
Gian Paolo )eretta, $%ermodynamics' *oundations & +ppilcations, acmillan Publis%ing Company, .courses.face/.Combustion(missions.0onloads.ecture2#pdf
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e -or, 1991
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CONSTANTS ' UNIT LOO2UP TA3LES
"ETAILS
Andrew Hooks
:::6(115
-ersion :
P!EFI4ES
Metric
Pre#i5 long #or& val$e
m milli 1.11:
c centi 1.1:
k thousand :111
+ millionmega :817
" billion :814
T tera :8:(; peta :8:6
Imperial
Pre#i5 long #or& val$e
+ thousand :111
++ million :817
3ASIC CONSTANTS
3as constant, J 9.=:<6:
3rav. accel. 4.91776
+@ !air$ (9.47< kgkmol
2tandard T, ; (
2td ;ressure :1:.=(6 k;a
2td Temperature (99.:6 K
+olar -olume (=.7<6
Co&&on /e#inition% #or Stan/ar/ T6 P
Te&p Ab% Pre% Molar 7ol
2 8Pa
(5=.:6 :1:.=(6 ((.<:<
(99.:6 :1:.=(6 (=.7<6
(99.5: :1:.=(6 (=.74:
(5=.:6 :11 ((.5::
(99.:6 :11 (=.469
(99.5: :1:.671 (=.7=7
Unit%
Example
Clic t%e unit cell t%en select required unit from t%e dropdon list
www.firstprincipleseng.net
k;a.m=!kmol.K$
ms(
m=kgmol
&, 98g&ol
1o&, :atm !(5=.:6K D +:
:6o&, :atm !(99.:6K D );:
71o, :atm !(99.5:K D <+:
1o&, :11k;a
:6o&, :11k;a
71o, :<.5=psia !:11.(=(k;a D
15oC, 1atm
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t%at appears
?ength :1 in
1.(6< m
1.111 mile
Temperature :6 #&
(99.:6 K
:6 #&
Length
Base conversions
inchesfoot :( inft
feetmetre =.(9: ftm
feetmile 6(91 ftmi
Lookup tableUnit SI $nit
mm D 1.11: m
cm D 1.1: m
m D : m
km D :111 m
in D 1.1(6< m
ft D 1.=1<9 m
mile D :714.= m
Area=%&all
Lookup tableUnit SI $nit
D 1.11111:
D 1.1117<6
D :
D 1.14(4
Area=large
Base conversions
hectarekm( :11 hctkm( 1 %ectare is 13
ft(acre <=664.77 ft(acre
Lookup table
Unit Metric Unit
D :
D 1.7(:<
hectare D 1.1:
acre D 1.11<1<79
7ol$&e
Base conversions
barrelscubic meter 7.(9=
mm( m(
in( m(
m( m(
ft( m(
km( km(
mi( km(
km(
km(
bblm=
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(=:
?itresImperial!K$ gallon <.6<714 ?gallon!K$
Lookup table
Unit SI $nit
m? D 1.11111:
D 1.11111:
? D 1.11:
D :
D :.7=48/16
D 1.1(9= !25#21 ft2.m2"
bbl D 1.:64(
gallon !2$ D 1.11=54 !6/7#6 gallon.
gallon !K$ D 1.11<66 !663 gallon.m2
Ma%%Base conversions
poundskilogram (.(1<7( lblkg
poundton !short$ (111 lbltn
poundton !long$ ((<1 lblton
Lookup table
Unit SI $nit
mg D 1.11111: kg
g D 1.11: kg
kg D : kg
tonne !metric$ D :111 kg
lbl D 1.<6< kgton !short$ D 415.( kg
ton !long$ D :1:7.1 kg
Force
Base conversions
*orce mass acceleration
)yn :.118/16 N
Lookup table
Unit SI $nit
N D : N
mN D 1.11: N
kg!f$ D 4.91776 N 1g gravitatio
lbl!f$ D <.<<9(= N
)yn D 1.1111: N
Pre%%$re
Base conversions
Pressure is force per unit area
k;aAtmosphere :1:.=(6 k;a!A$atm!A$ +tmosp%eric pr
in=2 gallon in=gallon
m=
cm= m=
m=
m= m=
in= m=
ft= m=
m=
m=
m=
;a D Nm( D kg.!ms($m( D kg!m.s($
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k;abar :11 k;abar
baraAtmosphere :.1:=(6 baraatm $%e atmosp%er
bargAtmosphere 1 bargatm
psiaAtmosphere :<.747 psiaatm!A$ $%e atmosp%er
psibar :<.61< psibar
Lookup table
::: ;rder is important < multiply first t%en add t%e constant :::
Unit M$ltiplier Con%tant SI $nit
;a!A$ 1.11: 1 k;a!A$
k;a!A$ : 1 k;a!A$
k;a!3$ : :1:.=(6 k;a!A$
+;a!A$ :111 1 k;a!A$
+;a!3$ :111 :1:.=(6 k;a!A$
bara :11 1 k;a!A$
barg :11 :1:.=(6 k;a!A$
psia 7.946 1 k;a!A$psig 7.946 :1:.=(6 k;a!A$
atm!A$ :1:.=(6 1 k;a!A$
atm!3$ :1:.=(6 :1:.=(6 k;a!A$
49.1776 1 k;a!A$
Pre%%$re /i##erence
Lookup table
Unit SI $nit
;a D 1.11: k;a
k;a D : k;a
mbar D 1.:11 k;abar D :11 k;a
psi D :<.61< k;a
atm D :1:.=(6 k;a
D 49.1776 k;a
mH(' D 4.91776 k;a
Te&perat$re
Base conversions
Con%tant
)eg &elcius Kelvin (5=.:6ahrenheit <64.75 Jankine
JankineKelvin :.9 1 JK
Lookup table
::: ;rder is important < multiply first t%en add t%e constant :::
Unit M$ltiplier Con%tant SI $nit
#& : (5=.:6 K
K : 1 K
# 1.667 (66 K
J 1.667 1 K
kgcm(!A$ Ekgcm( !:11
kgcm(
o
&K
L barg D L bar: bar D :11k;aL bar a D !L / :.
&onverting to p
EL psig !:<.6or L psig !::<.6
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Ti&e=%&all
Lookup table
Unit SI $nit
ms D 1.11: s
s D : s
min D 71 s
hour D =711 s
day D 97<11 s
Ti&e=large
Lookup table
Unit >SI Unit>
hour D 1.1<:5 day
day D : day
month D =1.< day
year D =76.(6 day
7ol$&e rate Ga% ?%tan/ar/ con/ition%@
Lookup table
Select standard $, P from t%e in<cell drop don list
Unit St/ T6 P M$ltiplier >SI Unit>
:6o&, :atm :
1o&, :11k;a 1.111(75
:6o&, :atm ::.65<
+scfd 71o, :atm 1.111=(9
++scfd 71o, :atm 1.=(9
"scfy 71o, :atm 1.411kgmolh 1.11765
lbmolh 1.11(49
7ol$&e rate Ga% ?act$al con/ition%@
Lookup table
Unit >SI Unit>
D :
D 1.111(59
D ::.65<
+cfd D 1.111=(9++cfd D 1.=(9
7ol$&e rate Li$i/
Lookup table
Unit >SI Unit>
?s D :111
?min D :7.75
?h D 1.(59
?d D 1.1::65
D :D 1.11(5=9
sm=s sm=s
Nm=h sm=s
+m=d sm=s
sm=s
sm=s
sm=
ssm=s
sm=s
am=s am=s
am=h am=s
+m=d am=s
am=
sam=s
m=s
m=s
m=s
m=s
m=
s m=
sm=h m=s
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D :.:65<8/116
bbld D :.9<(8/17
k.bbld D 1.11:9<(:(6
gph !2$ D :.16:68/117 gallons.%our
gpd !2$ D <.=9:=8/119
gph !K$ D :.(7(98/117gpd !K$ D 6.(7:58/119
Li$i/ Ga% !atio
Lookup table
Unit >SI $nit>
D :
bbl++scf D ((:.4
Ga% Li$i/ !atioLookup table
Unit >SI $nit>
D :
scfbbl D 1.:59
Ma%% rate
Lookup table
Unit SI $nit
kgs D : kgs
kgh D 1.111(59 kgs
td D 1.1::65< kgs
ty D =.:58/16 kgs
lbls D 1.<6< kgs
lblh D 6.(68/17 kgs
7elocity
Lookup table
Unit SI $nit
ms D : ms
kmh D 1.(59 ms
fts D 1.=1<9 msmih D 1.<<51 ms
Acceleration
Lookup table
Unit SI $nit
D 1.11:
D :
D :111
D 1.1(6
D 1.=16
mi!h.s$ D 1.<<5
m=d m=s
m=s
m=s
m=s
m=s
m=sm=s
m=+m= m=+m=
m=m=
m=m= m=m=
m=m=
mms( ms(
ms( ms(
kms( ms(
ins( ms(
fts( ms(
ms(
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D :714
"en%ity
Lookup table
Unit SI $nit
D :.118/14
D :
D :7.1:9
Energy
Base conversions
:
0oules&alorie <.:979 0&al
0oules"T :166.167 0"T
Lookup table
Unit SI $nit
0 D 1.11: k0
k0 D : k0
&al D 1.11<:979 k0
k&al D <.:979 k0
"T D :.166167 k0
Energy rate
Lookup table
Unit >SI $nit>
T0d D : T0d
;0y D :111 T0d
Power
Base conversions
!"Th$ k@ =<:(.: !"Th$k@
Lookup table
Unit SI $nit
@ D 1.11: k@
k@ D : k@+@ D :111 k@
Hp D 1.5<7 k@
"Th D 1.111(4 k@
Beating val$e ?vol$&e ba%i%@
Lookup table
Unit >SI $nit>
D :
+0kgmol D 1.1<((4(
+0scf D =6.=:<5
D 1.11:166
mis( ms(
gcm= kgm=
kgm= kgm=
lblft= kgm=
0oules!kgm(s($ 0!kgm(s($
+0m= +0m=
+0m=
+0m=
"Tm= +0m=
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"Tscf D 1.1=5(64
"Tlbmol D 1.111149
kcallbmol D 1.111=41
Beating val$e ?&a%% ba%i%@Lookup table
Unit >SI $nit>
+0kg D : +0kg
"Tkg D 1.11:17 +0kg
"Tlb D 1.11(== +0kg
kcallb D 1.114(= +0kg
kcalkg D 1.11<:4 +0kg
Beat capacity
Lookup table
Unit >SI $nit>0K D : 0K
"T# D :944 0K
cal#& D <.:95 0K
Speci#ic heat capacity
Lookup table
Unit >SI $nit>
0!kg.K$ D : 0!kg.K$
0!g.K$ D :111 0!kg.K$
"T!lb#$ D <:95 0!kg.K$
cal!g#&$ D <:95 0!kg.K$
Ther&al con/$ctivity
Lookup table
Unit >SI $nit>
@!m.K$ D : @!m.K$
"T!h.ft#$ D :.5=: @!m.K$
D 1.:<< @!m.K$
cal!sm#&$ D <.:95 @!m.K$
Beat tran%#er coe##icient
Lookup table
Unit >SI $nit>
D :
D 6.759
D <.:48/1<
D :.:7=
"yna&ic ?Ab%ol$te@ 7i%co%ity
Base conversions
;a.s D : kgms
+0m=
+0m=
+0m=
"T.in!h.ft(#$
@!m(K$ @!m(K$
"T!h.ft(#$ @!m(K$
cal!s.cm(K$ @!m(K$
kcal!h.m(K$ @!m(K$
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;oise D : gcms !=ater %as vis
Lookup table
Unit >SI $nit>
c; D 1.11: ;a.s
;oise D 1.: ;a.s
;a.s D : ;a.s
2ine&atic 7i%co%ity ?inematic visc
Base conversions
2toke D :
Lookup table
Unit >SI $nit>
D :
2t D 1.111:
c2t D 1.11111:
S$r#ace ten%ion
Lookup table
Unit >SI $nit>
T D : Nm
Nm D : Nm
mNm D 1.11: Nm
lbl!f$in D :56.:= Nm
dyncm D 1.11: Nm
cm(s
m(s m(s
m(s
m(s
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D =(#M :1:.=(6k;a D )at& D :<.747psia$
D 64#$
D :6.67#&$
)*-,p%ia$
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m 4 133m
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2"
nal acceleration
essure at sealevel in Pa
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ic pressure in bar at sealevel is 1#31265 bar
ic pressure in psi at sealevel is 17#/9/ psi
mm$(F !grav accel$ D Nm( D kg !grav accel$ m(
atm ; D baraM eg. :barg :.1:= D (.1:=bara// L bar g D E:11!L barg :.1:=baratm$F k;a!A$, or D E:11L :1:.=(6F k;a!A$
.1:=$barg :11k;abar :1:.=k;aatm D L:11k;a!A$
sia first would give the same result, ie.the following are equivalent%
:.1:=D:<.5$F psia !:k;a :<.6psi$ D k;a!A$
D7.946$ k;a!3$ :1:.= k;aatm D k;a!A$
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osity of ca# 1cP at 63>C !1#336""
sity 0ynamic viscosity . 0ensity for a Netonian fluid