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

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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

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

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 &'(

) ++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

Ht -ap. +ol. @t )ensity HH- ?H- Avg & No.

+0kg kgkmol ///

1.1 :9.1 1.9

1.1 <<.1 :.4

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

. 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.

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

e -or, 1991

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

(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

Example

Clic t%e unit cell t%en select required unit from t%e dropdon list

www.firstprincipleseng.net

k;a.m=!kmol.K$

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

t%at appears

?ength :1 in

1.(6< m

1.111 mile

Temperature :6 #&

(99.:6 K

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 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 1.7(:<

hectare D 1.1:

acre D 1.11<1<79

7ol$&e

Base conversions

barrelscubic meter 7.(9=

mm( m(

in( m(

ft( m(

km( km(

mi( km(

?itresImperial!K$ gallon <.6<714 ?gallon!K$

Lookup table

Unit SI $nit

m? D 1.11111:

D 1.11111:

? D 1.11:

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

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

cm= m=

in= m=

ft= m=

;a D Nm( D kg.!ms($m( D kg!m.s($

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

L barg D L bar: bar D :11k;aL bar a D !L / :.

&onverting to p

EL psig !:<.6or L psig !::<.6

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 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

am=s am=s

am=h am=s

+m=d am=s

sm=h m=s

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>

bbl++scf D ((:.4

Ga% Li$i/ !atioLookup table

Unit >SI $nit>

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 :111

D 1.1(6

D 1.=16

mi!h.s$ D 1.<<5

m=d m=s

m=sm=s

m=+m= m=+m=

m=m= m=m=

mms( ms(

ms( ms(

kms( ms(

ins( ms(

fts( ms(

D :714

"en%ity

Lookup table

Unit SI $nit

D :.118/14

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

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>

+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=

"Tm= +0m=

"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 6.759

D <.:48/1<

D :.:7=

"yna&ic ?Ab%ol$te@ 7i%co%ity

Base conversions

;a.s D : kgms

"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$

;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>

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

m(s m(s

D =(#M :1:.=(6k;a D )at& D :<.747psia$

D 64#$

D :6.67#&$

)*-,p%ia$

m 4 133m

nal acceleration

essure at sealevel in Pa

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$

osity of ca# 1cP at 63>C !1#336""

sity 0ynamic viscosity . 0ensity for a Netonian fluid

fuel consumption estimate

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