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Friction and Heat Transfer Effects
on Turbocharger Modeling
Frankfurt, 22.10.2012
Dominik Lückmann1, Christof Schernus2, Tolga Uhlmann2, Björn Höpke1, Carolina Nebbia3
1 Institute for Combustion Engines (VKA), RWTH Aachen University 2 FEV GmbH, Aachen 3 FEV Italia S.r.l.
1
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Content
Introduction
Impact of Compressor Heat Flux on TC Maps
Impact of Bearing Friction Losses on TC Modeling
GT-Power TC Modeling
Results of a Simple Friction and Turbine Heat Transfer Model
Summary
2
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 1000 2000 3000 4000 5000 6000 7000 8000
Reduced Turbine Speed nTC*T0.5 / min-1/K0.5
Turb
ine P
ressu
re R
atio / -
Turbine Operation Area at WOT and Load Step
3
Load Step neng = 1300 min-1
WOT neng = 1000-5500 min-1
Engin
e T
orq
ue
M
Engine Speed n
Load Step neng = 1300 min-1
WOT neng = 1000-5500 min-1
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 1000 2000 3000 4000 5000 6000 7000 8000
Reduced Turbine Speed nTC*T0.5 / min-1/K0.5
Turb
ine P
ressu
re R
atio / -
Standard Hot Gas Measurement Range
4
Standard Measurement (Open Loop)
T3 = 600 °C
Measurement
Range Below
0.5 * nTC,max
Load Step neng = 1300 min-1
WOT neng = 1000-5500 min-1
Engin
e T
orq
ue
M
Engine Speed n
Load Step neng = 1300 min-1
WOT neng = 1000-5500 min-1
Below 0.5 * nTC,max
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Turbine Net Efficiency is a function of
Aerodynamic turbine performance
Compressor heat flux
Bearing friction losses
Calculation of the Turbine Efficiency
Friction and Heat Transfer Effects on Turbocharger Modeling
5
Turbine efficiency as a function of turbine outlet temperature
)hh(m
)hh(m
P
P
is4,3T
43T
isT,
TisT,
)()(
)(4
is4,3T
12V
isT,
FTVTCm,isT,netT, Tf
hhm
hhm
P
PPP
Turbine efficiency definition using compressor power
0T Q
0VQ
Mach similarity does not apply to turbine net efficiency maps
Heat flux, friction losses and aerodynamic has to be separated
Turbine
TQ
VQ
11 pT
22 pT
TCn
Cm Tm
44pT
33 pT
Compressor
Burner
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Content
6
Introduction
Impact of Compressor Heat Flux on TC Maps
Impact of Bearing Friction Losses on TC Modeling
GT-Power TC Modeling
Results of a Simple Friction and Turbine Heat Transfer Model
Summary
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Heat Flux into the Compressor
Coolant Temperatur Variations
7
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
1.0 1.3 1.5 1.8 2.0 2.3 2.5 2.8 3.0 3.3 3.5
Tu
rbin
e N
et
Effic
iency η
T,is*η
m,A
TL / -
Turbine Pressure Ratio p3t/p4 / -
Standard measurement range down
to approx. 0.4 - 0.5 * nATL,max due to a
dominant heat flux into the
compressor at lower speeds
)hh(m
)hh(m*
stis,4,tot3,T
tot1,tot2,VTCm,isT,
w/o CW
nTC,max
TCWT:
T3 = 600 °C
TOil = 90 °C
nTC,min
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Heat Flux into the Compressor
Coolant Temperatur Variations
8
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
1.0 1.3 1.5 1.8 2.0 2.3 2.5 2.8 3.0 3.3 3.5
Tu
rbin
e N
et
Effic
iency η
T,is*η
m,A
TL / -
Turbine Pressure Ratio p3t/p4 / -
w/o CW
115 °C
90 °C
40°C
nTC,min
nTC,max
TCWT:
T3 = 600 °C
TOil = 90 °C With lower coolant temperature the heat
flux into the compressor is reduced
ηT
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Heat Flux into the Compressor
Coolant Temperatur Variations – Total Turbocharger Efficiency
9
Negligible Impact of the compressor heat
flux on the aerodynamic performance
Conditions to separate
Aerodynamic performance
Heat flux to compressor
fulfilled
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
1.0 1.5 2.0 2.5 3.0 3.5
To
tal T
urb
och
arg
er
Effic
iency η
C,is*η
T,is*η
m,A
TL
Turbine Pressure Ratio p3t/p4 / -
nTC,min
nTC,max
w/o CW
115 °C
90 °C
40°C
TCWT:
T3 = 600 °C
TOil = 90 °C
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
0
4
8
12
16
20
24
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Spe
cific
he
at
flux t
o c
om
pre
sso
r q
C /
kJ/k
g .
Compressor mass flow rate / kg/s
Heat Flux into the Compressor
Calculation of the Heat Flux
10
nred = 2150 min-1K0.5
T3 = 600 °C
Toil = 90 °C
w/o CW
Experimental Approach (Scharf)1
„FVV TC-Wärmeströme“ CFD (Heuer)2
Model Based Approach (Sirakov, Casey)3
1 Extended Turbine Mapping and Engine Simulation, Dissertation, Scharf 2 TC-Wärmeströme, FVV Abschlussbericht, Bohn, Heuer, Moritz, Wolff 3 Evaluation of Heat Transfer Effects on Turbocharger Performance, ASME GT2011-45887, Sirakov, Casey
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Content
11
Introduction
Impact of Compressor Heat Flux on TC Maps
Impact of Bearing Friction Losses on TC Modeling
GT-Power TC Modeling
Results of a Simple Friction and Turbine Heat Transfer Model
Summary
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Impact of Bearing Friction Losses on TC Modeling
Friction Measurement
Friction and Heat Transfer Effects on Turbocharger Modeling
12
TC
Fri
ctio
n P
ow
er L
oss
/ W
FA = 0 N
TOil = 90 °C
pOil = 4 bar (abs.)
TOil = 90 °C
pOil= 4 bar (abs.) FA = 0 N
pOil = 4 bar (abs.)
120 000 1/min 120 000 1/min
80 000 1/min 80 000 1/min
40 000 1/min 40 000 1/min
450
300
200
550
50
100
150
250
350
400
500
0
TC
Frictio
n P
ow
er
Loss /
W
40000 80000 120000 0
TC Speed / 1/min
40 60 80 100 120
Oil Temperatur / °C
-60 -40 -20 0 20 40 60
Thrust Load / N
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Impact of Bearing Friction Losses on TC Modeling
neng = 1500 RPM, WOT
Friction and Heat Transfer Effects on Turbocharger Modeling
13
4000
4500
5000
5500
6000
red
. T
C S
pe
ed
/ R
PM
*K^-
0.5
850
1050
1250
1450
1650
120000
140000
160000
180000
200000
Turb
ine I
nle
t G
as T
em
p.
/ K
TC
Spe
ed /
RP
M
InletTurbine
TCred
T
nn
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Impact of Bearing Friction Losses on TC Modeling
neng = 1500 RPM, WOT
Friction and Heat Transfer Effects on Turbocharger Modeling
14
350
450
550
650
750
850
-80 20 120 220 320 420 520 620
TC
Fri
ctio
n /
W
Engine CA / °AFTDC
120000
140000
160000
180000
200000
TC
Spe
ed
/
RP
M
4000
4500
5000
5500
6000
red
. T
C S
pe
ed
/ R
PM
*K^-
0.5
850
1050
1250
1450
1650
120000
140000
160000
180000
200000
Turb
ine I
nle
t G
as T
em
p.
/ K
TC
Spe
ed /
RP
M
InletTurbine
TCred
T
nn
K15873redMapping TC, .nn
%355
d
))d(-)((Error
Turbine
Mapping TC,FrictionPower-GTTC,Friction
.
P
nPnP
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Content
15
Introduction
Impact of Compressor Heat Flux on TC Maps
Impact of Bearing Friction Losses on TC Modeling
GT-Power TC Modeling
Results of a Simple Friction and Turbine Heat Transfer Model
Summary
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Isentropic Adiabatic Turbine Efficiency
Friction and Heat Transfer Effects on Turbocharger Modeling
16
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4
Tu
rbin
e E
ffic
iency η
T /
-.
Turbine Pressure Ratio p3t/p4 / - .
)hh(m
)hh(m*
stis,4,tot3,T
tot1,tot2,VTCm,isT,
Net turbine efficiency
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Isentropic Adiabatic Turbine Efficiency
Friction and Heat Transfer Effects on Turbocharger Modeling
17
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4
Tu
rbin
e E
ffic
iency η
T /
-.
Turbine Pressure Ratio p3t/p4 / - .
)hh(m
P)hh(m
stis,4,tot3,T
Ftot1,tot2,VisT,
Isentropic efficiency
)hh(m
)hh(m*
stis,4,tot3,T
tot1,tot2,VTCm,isT,
Net turbine efficiency
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Isentropic Adiabatic Turbine Efficiency
Friction and Heat Transfer Effects on Turbocharger Modeling
18
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4
Tu
rbin
e E
ffic
iency η
T /
-.
Turbine Pressure Ratio p3t/p4 / - .
)hh(m
P)hqh(m
stis,4,tot3,T
Ftot1,Ctot2,Vadis,T,
Isentropic adiabatic efficiency
)hh(m
P)hh(m
stis,4,tot3,T
Ftot1,tot2,VisT,
Isentropic efficiency
)hh(m
)hh(m*
stis,4,tot3,T
tot1,tot2,VTCm,isT,
Net turbine efficiency
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
GT-Power Turbocharger Modeling
19
Separate modeling of
Aerodynamic turbine performance
Bearing friction losses
improves the simulation quality
0
200
400
600
800
1000
1200
1400
1600
0 20000 40000 60000 80000 100000 120000 140000 160000 180000 200000
TC Speed / min-1
Fri
ctio
n P
ow
er
/ W
Bearing friction losses
PF
nTC
Extended turbine maps Extended compressor map
mcorC
. 0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6
Tu
rbin
e E
ffic
ien
cy e
ta_
T /
-.
Turbine Pressure Ratio p3t/p4 / - .isentr
oper
adia
bate
rT
urb
inenw
irkun
gsgra
d η
is,a
d,T
Turbinendruckverhältnis p3t/p4
ηT
πT
1.00
1.40
1.80
2.20
2.60
3.00
3.40
3.80
4.20
0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14
Com
pre
sso
r P
ress
ure
Ratio
p 2
t/p1t
/ -
.
Corr. Compressor Mass Flow Rate m_dot_cor_C / kg/s .
πC
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GT-Power Turbocharger Advanced Modeling
20
Extended turbine maps
Bearing friction losses
Extended compressor map
mcorC
. 0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6
Tu
rbin
e E
ffic
ien
cy e
ta_
T /
-.
Turbine Pressure Ratio p3t/p4 / - .isentr
oper
adia
bate
rT
urb
inenw
irkun
gsgra
d η
is,a
d,T
Turbinendruckverhältnis p3t/p4
ηT
πT
1.00
1.40
1.80
2.20
2.60
3.00
3.40
3.80
4.20
0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14
Com
pre
sso
r P
ress
ure
Ratio
p 2
t/p1t
/ -
.
Corr. Compressor Mass Flow Rate m_dot_cor_C / kg/s .
πC
TC
Fri
ctio
nP
ow
er L
oss
/ W
FA = 0 N
TOil = 90 °C
pOil = 4 bar (abs.)
TOil = 90 °C
pOil= 4 bar (abs.)FA = 0 N
pOil = 4 bar (abs.)
120 000 1/min 120 000 1/min
80 000 1/min 80 000 1/min
40 000 1/min 40 000 1/min
450
300
200
550
50
100
150
250
350
400
500
0
TC
Friction
Pow
er
Loss / W
40000 80000 1200000
TC Speed / 1/min
40 60 80 100 120
Oil temperatur / °C
-60 -40 -20 0 20 40 60
Thrust Load / N
Turbocharger Heat Flux Model Environment
Turbine hous.Comp. hous.
Comp. Turb.Shaft
Shaft hous.
Mech. Power
OilCoolant
Thrust
Load
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Content
21
Introduction
Impact of Compressor Heat Flux on TC Maps
Impact of Bearing Friction Losses on TC Modeling
GT-Power TC Modeling
Results of a Simple Friction and Turbine Heat Transfer Model
Summary
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Friction model enables turbo engine modeling in cold-start and warm-up scenarios
Lower turbo speed and slower acceleration
Increased backpressure by higher power consumption
PMEP
BSFC
Impact of Turbocharger Inlet Oil Temperature on Load Steps
Friction and Heat Transfer Effects on Turbocharger Modeling
22
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Friction model enables turbo engine modeling in cold-start and warm-up scenarios
Lower turbo speed and slower acceleration
Increased backpressure by higher power consumption
PMEP
BSFC
Delayed engine response in
Drive-away
Tip-in from low part load
Impact of Turbocharger Inlet Oil Temperature on Load Steps
Friction and Heat Transfer Effects on Turbocharger Modeling
23
12
12.5
13
13.5
14
14.5
15
20 30 40 50 60 70 80 90 100 110 120
IME
P @
2 s
ec
/ b
ar
TC oil inlet temperature / °C
Small Turbocharged Gasoline Engine
Load Steps at 1400 RPM
time
IME
P
TC
fri
ction p
ow
er
TC speed
Oil Temp.
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Simple Heat Transfer Model
Friction and Heat Transfer Effects on Turbocharger Modeling
24
specific
turb
ine h
eat flux
tot4,TFtot1,Ctot2,Vtot3,T hm)P)hqh(m(hmQT
T,m
TQ
heat input rate
Hot gas measurements
T3 Variations
Turbine Volute
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Simple Heat Transfer Model
Friction and Heat Transfer Effects on Turbocharger Modeling
25
specific
turb
ine h
eat flux
tot4,TFtot1,Ctot2,Vtot3,T hm)P)hqh(m(hmQT
T,m
TQ
heat input rate
Hot gas measurements
T3 Variations
Turbine Volute
Tu
rbin
e o
utlet te
mp. /
°C
%T
TT100error
testbench engine
testbench enginesim
w/o heat flux model
with heat flux model
neng = 2000 RPM 6500 RPM
700
750
800
850
engine measurement
error = 7.5 % 1.3 % 3.6 % 0.6 %
© by VKA, FEV – all rights reserved. Confidential – no passing on to third parties
Summary
Due to the measurement methodology the calculation of the turbine (net) efficiency and
compressor efficiency is impacted by the heat transfer to the compressor and the bearing
friction losses
The heat transfer into the compressor has no impact on the aerodynamic performance of the
compressor
This enables a separation of
Compressor heat flux
Aerodynamic Performance
and combined with a bearing friction measurement allows to create TC Maps that apply the
Mach similarity
On this basis advanced heat transfer models or bearing friction loss models can been
introduced (decrease of IMEP @ 2 sec by 1 bar Oil temp. 90 50 °C)
The shown simple turbine heat transfer model shows already good results.
(error reduction in turbine outlet temperature by 80 %)
26
© by VKA – all rights reserved. Confidential – no passing on to third parties
Friction and Heat Transfer Effects on Turbocharger Modeling
Frankfurt, 22.10.2012
Dominik Lückmann1, Christof Schernus2, Tolga Uhlmann2, Björn Höpke1, Carolina Nebbia3
1 Institute for Combustion Engines (VKA), RWTH Aachen University 2 FEV GmbH, Aachen 3 FEV Italia S.r.l.
27
Thank you for your attention!