1 Pagina 1 Diesel engines for fast ships Background, sizing, characteristics Hugo Grimmelius Educational goals • explain the working principles of the modern turbocharged diesel engine, • understand the most important parameters that make diesel engines light and compact, i.e. the factors determining power density, • understand how to obtain reasonable efficiency for these light and compact engines, i.e. the factors determining fuel economy, • explain the limits of the engine characteristics in relation with the characteristic of the propulsor, • describe the features that can widen the engine characteristic, • describe some special topics relating to the installation of diesel engines on board ships. Last but not least this course will: • provide some factual information on particular engines available in the market (third lecture) High speed diesel engine
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1
Pagina 1
Diesel engines for fast shipsBackground, sizing, characteristics
Hugo Grimmelius
Educational goals• explain the working principles of the modern turbocharged diesel engine,• understand the most important parameters that make diesel engines light and
compact, i.e. the factors determining power density,• understand how to obtain reasonable efficiency for these light and compact
engines, i.e. the factors determining fuel economy,• explain the limits of the engine characteristics in relation with the characteristic
of the propulsor,• describe the features that can widen the engine characteristic,• describe some special topics relating to the installation of diesel engines on
board ships.
Last but not least this course will:• provide some factual information on particular engines available in the market
(third lecture)
High speed diesel engine
2
Pagina 2
Principle of turbocharging
Cylinders
inlInletReceiver
Charge AirCompressor
Inlet Filter
ICIntercooler
ExhaustReceiverexh
Exhaust GasTurbine
Turbocharger
Exhaust Silencer
P-V diagram as measured
Mean pressure
W p dV p Vi
rev
cycleS= ⋅ = ⋅∫
The indicated work as measured in a p-V diagram:
pp dV
Vdef cycle
S
=⋅∫
Mathematically a mean value can be defined:
pWVmi
defi
S
=This is the mean indicated pressure (MIP)also: indicated mean effective pressure (imep)
ηm
def e
i
WW
= Mechanical losses:
pWVme
defe
S
=Define the mean effective pressure (MEP)also:brake mean effective pressure (bmep) p pme m mi= ⋅ηSo:
3
Pagina 3
Work in the diesel engineoverview of losses
Qf
Work in the diesel engineoverview of losses
Wi
Qf
Work in the diesel engineoverview of losses
Wi
Qf
friction/pumps etc
4
Pagina 4
Work in the diesel engineoverview of losses
WeWi
Qf
usefull
friction/pumps etc
Nr of work cycles per second depends on:- rotational speed (n)- NR of cylinders (i)- type
2-stroke: k = 14-stroke: k = 2
Connection with power and torque
f i nk
= ⋅
Engine frequency(in Hz):
Power is work per unit time:
P W fB e= ⋅ W k Pi ne
B= ⋅⋅
pP
i n VmeB
S= ⋅
⋅ ⋅ k
Power madespecific with a volume flow:V i n VS= ⋅ ⋅
Torque is power divided by angular velocity
MP P
nBB B= =
⋅ω π2Pn
MBB= ⋅2π p
Mi Vme
B
S= ⋅ ⋅
⋅2π k So for a
given engine MEP is torque!
Power densityCluster the formula for mean effective pressure as follows:
pkn
Pi Vme
B
S= ⋅
⋅
Then power related to total engine cylinder displacement is:
SVSPP
i Vp n
kB
S
me=⋅
=⋅
“Stroke Volume Specific Power”
Conclusion for high power density:- High speed- High mean effective pressure- 2-stroke instead of 4-stroke !!?
5
Pagina 5
Trend of power per stroke volume as function of nominal speed
Specific power related to swept volume
0
10
20
30
40
50
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Pow
er/c
yl v
ol in
kW
/ltr
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
Trend of weight specific power as function of nominal speed
Weight specific power
0.000
0.100
0.200
0.300
0.400
0.500
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Wei
ght s
peci
fic p
ower
MW
/ton
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
Trend of volume specific poweras function of nominal speed
Volume specific power
0.000
0.100
0.200
0.300
0.400
0.500
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Volu
me
spec
ific
pow
er M
W/m
3
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
6
Pagina 6
Bore area and mean piston speedCluster the formula for mean effective pressure as follows:
pk
n LP
i AmeS
B
B=
⋅⋅
⋅ with: V L AS S B= ⋅
Then power related to total engine bore area is:
BASPP
i Ap n L
kB
B
me S=⋅
=⋅ ⋅
“Bore Area Specific Power”
Introduce mean piston speed:
cL
nm
defS= =
⋅distancetime
21 c n Lm S= ⋅ ⋅2
Then:
BASPP
i Ap c
kB
B
me m=⋅
=⋅⋅2
with: p cm e m⋅ “Technology”
Trend of technology parameter
Technology parameter Diesel Engines
0
100
200
300
400
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Tech
nolo
gy: p
e*cm
in b
ar *
m/s
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
Maximum power from engine blockMaximum power is proportional to NR of cylinders, bore area and “technology”; for 4-stroke divide by k = 2:
P i Ap c
kB Bme m= ⋅ ⋅
⋅⋅2
A DDL
L nnB B
B
S
S= ⋅ = ⋅ ⋅⋅π π
4 42
2
2
2 2
2
Bore area cannot be chosenarbitrarily:
λ S S BL D= /Introduce ratio Stroke/Bore:For 4-strokebetween 1,1 and 1,5
c n Lm S= ⋅ ⋅2Mean piston speed:between 8 and 12 m/s!
Ac
nBm
S
= ⋅ ⋅πλ16
12
2 2
P ip ck nBme m
S= ⋅ ⋅
⋅⋅
⋅π
λ3213
2 2
7
Pagina 7
Maximum power of diesel enginesfor several nominal shaft speeds and technologies
Maximum power obtainable from diesel engines
0
10
20
30
40
50
60
70
0 250 500 750 1000 1250 1500 1750 2000
Nominal speed in rpm
Max
imum
pow
er in
MW
Slow speed: 2-stroke, 12 cyl, pe = 18 bar, cm = 8 m/s, L/D = 3.5
Maximum power of diesel enginesfor several nominal shaft speeds and technolgies
Maximum power obtainable from diesel engines
0
10
20
30
40
50
60
70
0 250 500 750 1000 1250 1500 1750 2000
Nominal speed in rpm
Max
imum
pow
er in
MW
Slow speed: 2-stroke, 12 cyl, pe = 18 bar, cm = 8 m/s, L/D = 3.5
Medium speed:4-stroke, 16 cyl, pe = 24 bar, cm = 10 m/s, L/D = 1.3
Maximum power of diesel enginesfor several nominal shaft speeds and technolgies
Maximum power obtainable from diesel engines
0
10
20
30
40
50
60
70
0 250 500 750 1000 1250 1500 1750 2000
Nominal speed in rpm
Max
imum
pow
er in
MW
Slow speed: 2-stroke, 12 cyl, pe = 18 bar, cm = 8 m/s, L/D = 3.5
Medium speed:4-stroke, 16 cyl, pe = 24 bar, cm = 10 m/s, L/D = 1.3
High speed: 4-stroke, 20 cyl, pe = 30 bar, cm = 12 m/s, L/D = 1.1
8
Pagina 8
Maximum power of diesel enginesactual from database
Power of Diesel Engines
0
10
20
30
40
50
60
70
80
90
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Pb in
MW
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
Maximum power of diesel engineszoom in on medium and high speed
Power of Diesel Engines
0
5
10
15
20
25
400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Pb in
MW
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
Maximum power of diesel engineszoom in on high speed
Power of Diesel Engines
0
2
4
6
8
10
800 1200 1600 2000 2400
Nominal engine speed in rpm
Pb in
MW
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
9
Pagina 9
EfficiencyTotal efficiency is “work out” divided by “heat in”
η ηtot
defe
fm
i
f
WQ
WQ
= = ⋅ ηm
def e
i
WW
=
“Heat in” originates from fuel:Q m LHVf f≅ ⋅
Losses:
ηcomb
defcomb
f
QQ
=Unburned:
η q
d e fi
c o m b
QQ
=Cooling:Q Qi comb q f= ⋅ ⋅η η
Not all heat produced goes into the cycle process:
Q T dSi
rev
combustion
= ⋅∫
This is equal to an area in a T-S diagram:
η η η ηtot m comb qi
i
WQ
= ⋅ ⋅ ⋅
So finally for total efficiency: η tdi
i
cyc le
c o m b u s tio n
WQ
p d V
T d S= =
⋅
⋅
∫
∫
Thermodynamic efficiency:
Heat and work in the diesel engineoverview of losses
WeWi
Qf
usefull
friction/pumps etc
Heat and work in the diesel engineoverview of losses
WeWi
Qcomb
Qf
usefull
friction/pumps etc
combustion loss
10
Pagina 10
Heat and work in the diesel engineoverview of losses
WeWi
QiQcomb
Qf
usefull
friction/pumps etc
cooling watercombustion loss
Heat and work in the diesel engineoverview of losses
WeWi
QiQcomb
Qf
usefull
friction/pumps etc
exhaust gases
cooling watercombustion loss
Trend of efficiencyas function of nominal speed (= size)
Overall efficiency Diesel Enginesin nominal point
30%
35%
40%
45%
50%
55%
0 400 800 1200 1600 2000 2400
Nominal engine speed in rpm
Ove
rall
effic
ienc
y in
%
High speed 4-stroke V-engines
High/medium speed 4-stroke Line-engines
High/medium speed 4-stroke V-engines
Medium speed 4-stroke Line-engines
Medium speed 4-stroke V-engines
Low speed 2-stroke Line engines
11
Pagina 11
P-V diagramp
VVTDC
VBDC
ε =def
BDC
TDC
VV
GeometricCompression ratio:
VS
1
2
rVVc
def= 1
2
Effective
V VBDC1 <
V VTDC2 =
rc < ε
Seiliger parameter definitionp
V
1
2
rVVc
def= 1
23
app
def= 3
2
4
bVV
def= 4
3
5
cVV
def= 5
4
VTDCVBDC
VS
6
V V6 1=
Seiliger parameters
rVVc
def= 1
2
app
def= 3
2
bVV
def= 4
3
cVV
def= 5
4
rVV
VV
VV
VVe
def= = ⋅ ⋅6
5
6
3
3
4
4
5
V V6 1=
V V3 2=
rVV
VV
VV
rb ce
c= ⋅ ⋅ =⋅
1
2
3
4
4
5
Dependentparameter !
r a b cc , , ,
4 independentparameters:
12
Pagina 12
Logarithmic p-v and T-s diagram
log p - log v diagram
1
10
100
1000
0.010 0.100 1.000
Specific volume in m3/kg
Pres
sure
in b
ar
Nominal caseAmbient condition
Log T - s diagram
100
1000
10000
0.0 0.5 1.0 1.5 2.0
Specific entropy in kJ/kg/K
Abs
olut
e te
mpe
ratu
re in
KNominal case
Ambient
Complete Seiliger definitionstage Volume ratio ϕ pressure ratio π Temperature ratio τ1 - 2 V
Vr
def
c1
2=
pp
rc2
1= κ T
Trc
2
1
1= −κ
2 - 3 VV
def3
21=
pp
adef
3
2=
TT
a3
2=
3 - 4 VV
bdef4
3=
pp
def4
31=
TT
b4
3=
4 - 5 VV
cdef
5
4=
pp
c4
5=
TT
def4
51=
5 - 6 VV
rb c
c6
5=
⋅pp
rb c
c5
6=
⋅⎛⎝⎜
⎞⎠⎟
κ TT
rb c
c5
6
1
=⋅
⎛⎝⎜
⎞⎠⎟
−κ
6 - 1 VV
def6
11=
pp
r a
cr
b ca b c
c
c
6
1
1
=⋅
⋅⋅
⎛⎝⎜
⎞⎠⎟
= ⋅ ⋅ −
κ
κ
κ κ
TT
r a br
b ca b c
c
c
6
1
1
1
1
=⋅ ⋅
⋅⎛⎝⎜
⎞⎠⎟
= ⋅ ⋅
−
−
−
κ
κ
κ κ
Heat flows
q q q qin = + +23 34 56
Total “heat in” comprises of 3 stages:
( ) ( )q c T T c T r av v c23 3 2 11 1= ⋅ − = ⋅ ⋅ ⋅ −−κ
From basic thermodynamics:
( ) ( )q c T T c T r a bp v c34 4 3 11 1= ⋅ − = ⋅ ⋅ ⋅ ⋅ ⋅ −−κ κ
( ) ( )q R TVV
c T r a b cv c45 45
41
11= ⋅ ⋅⎛⎝⎜
⎞⎠⎟ = ⋅ ⋅ − ⋅ ⋅ ⋅ ⋅−ln lnκ κ
Note that all specific heat flows can be expressed in temperature at the beginning, specific heat and the 4 parameters
q qout = 61
Total “heat out” comprises of the exhaust:
( ) ( )q c T T c T a b cv v61 6 1 11 1= ⋅ − = ⋅ ⋅ ⋅ ⋅ −−κ κ