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Engine Breathing and Advanced
Valvetrain Technologies
Dr. Rui Chen
Department of Aeronautical & Automotive Engineering
Loughborough University
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2
1. Volumetric Efficiency
Definition
2/V
andambientatcylinderpermeswept voluoccupyair toofmass
cyclepercylinderperinhaledairofmass
am bswept
actualair,
.
N
m
TpV
typically: 85115%VOL
Engine speedtypically 30004500rpm
Typical curve for a naturally aspirated engine at wide open throttle (WOT)
where,
= the mass of air inhaled per
cylinder per cycle
= the engine swept volume
= air density at ambient pressure
and temperature
= the engine speed in (rev/s)
am
sV
a
N
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3
Importance of Breathing: The maximum engine power output is directly proportional to the mass flow
rate of air into the engine since
ath m
.
AFR
LCVPower
Vasth V
AFR4
LCVTorque
bmenp typically:
8.0 13.0 bar
Torque
Engine speedtypically 30004500rpm
where,
= thermal efficiency
LCV = fuels calorific value
AFR = air to fuel ratio
= air mass flow rate
th
am
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Although high volumetric
efficiency is desirable, may
compromise to:
Produce swirl (masked/offset
valves)
Produce high in-cylinder
turbulence
Achieve good fuel distribution
and conditioning Exhibit good transient response
and idle speed stabilityFigure 2-2 Torque and volumetric efficiency vs. engine speed
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Quasi-static
Charge heating
Flow friction
Back flow
Choking
Tuning
Ram
Charge heatingCharge heating
Quasi-static effects
Flow friction
Backflow
Tuning
Choking
Ram effect
2. Effects on volumetric efficiency
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2.1 Quasi Static Effects
These include the following effects:
Residual gases
Inlet manifold density
Fuel partial pressure
Fuel vaporisation/latent heat
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2.1.1 Residual gas fraction
The residual gas fraction in the cylinder during compression is primarilya function of inlet and exhaust pressures, speed, compression ratio,valve timing and exhaust system dynamics.
Its magnitude affects engine volumetric efficiency.
The residual gas mass fraction is usually determined by measuring theCO2 concentration in a sample of gas extracted from the cylinder duringthe compression stroke.
e
cr
x
x
x2
2
CO
CO
~
~
where
the subscripts c and e denote compression and exhaust,
are mole fractions in the wet gas.2CO
~x
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2.1.2 Charge-mass law
Perfect gas law:
Assuming:
Charge mass into the cylinder:
Gas density in the cylinder:
Charge flow rate:
RTM
mPV
ei TT
e
ec
i
isei
RT
PVM
RT
PVMmmm
V
e
iiV
V
cs r
P
PRTr
Mr
VV
m
V
m
1
V
ei
Vi
sVs
r
PP
rRT
VrMNNVm
122/
NOTE: The charge-mass law ignores
Valve overlap
Inlet valve closure angle
Manifold dynamics
Port and manifold flow coefficients
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2.1.3 Fuel partial pressure
For most liquid fuels, this effect is small but for gaseous fuels the effecton volumetric efficiency is significant.
fam ppp 11
AFR
111
f
a
a
f
fa
a
m
a
M
M
p
p
pp
p
p
p
Manifold pressure:
therefore
For example:
For gasoline (C8H18),
For natural gas (CH4),
983.0114
96.28
15
11
1
m
a
p
p
983.0114
96.28
15
11
1
m
a
p
p
Hence, with gasoline, the reduction in is about 2% due to the presence of thefuel vapour while natural gas is over 10%.
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2.1.4 Fuel vaporisation
The enthalpy of the fuel vapour is higher than the liquid fuel, the difference
being the latent heat of vaporisation, vfh
Applying the steady state flowenergy equation,
vfflfpfapavfpfapa hmTcmcmTcmcmHHQ
1,,2,,
12
AFRAFR
1
AFR
11,,2,,
vf
lfpapvfpap
a
hTccTcc
m
Q
yields
Assuming , we get fplfpvfp ccc ,,,
AFRAFR
1,,12
vf
fpap
a
hccTT
m
Q
AFR
AFR
AFR
,
,
12
vf
afp
ap
vf
a h
m
Q
cc
h
m
Q
TT
i.e ,
Hence, with gasoline, would expect about 7% increase in air density due to fuelvaporising cooling effect which outweighs the loss due to fuel partial pressure.
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2.2 Charge heating effects
The inlet charge may absorb heat as it passes through the engines
intake system (i.e. warm inlet manifold).
This increase in temperature decreases charge density and hence lower
. The heating effect is speed dependent.
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2.3 Frictional Losses
Friction causes a pressure drop across each
component of the inlet and exhaust systems. This pressure drop is proportional to velocity squared
and results in the pressure in the cylinder being lessthan and greater than manifold pressures duringinduction and exhaust, respectively.
2.3.1 Flow friction:
For the intake system, quasi-steady analysis assuming
incompressible flow gives
2
2
v
p
paA
AVkp
where,= piston velocity (instantaneous
= piston area
= valve flow area (instantaneous)
= a constant
pV
pA
vA
k
Notes:
High flow areas are
advantages
Dependence of engine
speed
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2.3.2 Flow through ports
At low lifts, flow area is given by the curtain area,
At high value lifts, area given by project area
Flow separation occurs at high lifts reducing the discharge coefficient which is
defined in terms of an effective area
Mass flow rate through a poppet valve can be calculated by assuming 1-D nozzle
flow
VVCV
LDA ,
22,4
VVhV dDA
where, = port diameter
= valve lift
VD
VL
where, = valve stem diameterVd
V
eD
A
AC
12
1
2
6 i
c
i
c
i
ie
p
p
p
p
RTN
pA
d
dm
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Different flow regimes
insufficient valve lift can severely reduce the volumetric efficiency, there is little to be
gained from excessive valve lift.
port area is important for achieving high at high speeds and this area is
proportional to valve diameter. The 4-valve gives approximately 25% more flow area
than 2-valve design. The highest breathing efficiency should be obtained with 5-valve
(3-inlet and 2-exhaust) design.
Mass flow rate through a poppet valve can be calculated by assuming 1-D nozzle flow
VOL
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2.4 Choking Effects
The flow will be choked if the criticalpressure ratio is exceeded, which is given
by
The choked flow rate is given as
At high engine speeds during induction,
the flow can become choked. The inlet
Mach Index or Gulp Factor, , can be used
to assess the performance of inlet valves.
1
12
i
c
pp
1
1
1
2
6
i
ie
RTN
pA
d
dm
aDV
pp
CaA
AVZ
,
FFF
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2.5 Volumetric Efficiency Correction
To include for some of these effects, factors can be added, theseusually being empirically derived
where,
= inlet valve closure factor
= valve overlap factor
= pressure factor
= uncorrected volumetric efficiency
The Ford ESA engine simulation program uses the inlet mach index in
conjunction with flow coefficients and a manifold tuning factor.
pvoive FFFZVOLVOL
pvoive FFFZVOLVOL
iveFvo
F
pF
ZVOL
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Ram pipe supercharging
The intake work of the
piston is converted into
kinetic energy of the
column of gasupstream of the intake
valve, and
this kinetic energy, in
turn, is converted intofresh charge
compression work.
3. Dynamic Supercharging
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Define
Note: This parameter is to make test results independent ofengine speed. Experimental results show that for any enginespeed, engine peak performance corresponds to FrequencyRatioclose to 3, 4, and 5.
If Frequency Ratio equals to 4, then
frequencyopeningvalvepulsespressureoffrequencyratioFrequency
4L
a
a
4L
1pulsespressureofFrequency
120
NopeningvalveofFrequency
N
7.5a
16N
120aLopt
Tuned-intake tube charging
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Long inlet pipe:
Short inlet pipe:
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4. Variable inlet systems
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http://www.km77.com/marcas/mercedes/2005/clase-s/gama/gra/82.asphttp://www.km77.com/marcas/mercedes/2005/clase-s/gama/gra/84.asp8/12/2019 7. Engine Breathing
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Figure 1.14 Valve timing
5. Valve Timing
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Figure 1.14 Valve timing
Valve timings
Inlet valve opening (IVO):
Around 10-25oBTDC. Engine performance
is fairly insensitive to the IVO.
Inlet valve closing (IVC):
Around 40oABDC.
At low speeds, late IVC reduces volumetric efficiency. At high speeds, early IVC reduces volumetric efficiency.
Exhaust valve opening (EVO):
About 40oBTDC. Ensure all burned gas have sufficient time to escape.
Slight penalty in the power stroke, represents about 12% of power stroke.
Exhaust valve closing (EVC):
Usually 10-60oATDC. It appears not affect the level of residuals. Overlap
Large overlap, part load and idling operation suffers since the reduced inductionmanifold pressure causes back-flow of the exhaust.
Full load economy is poor since some unburned mixture pass straight throughthe engine when both valves are open at TDC.
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igure 4-2 Influence of inlet valve closure angle on the volumetric efficiency
There are compromises in valve timing:
high speed versus low speed performance, and
full load versus part load performance.
Variable valve timing can be used to
reduce the throttling losses in SI
engines.
Variable valve timing has significant
effect on effective compression ratio improve engine torque and
derivability
improve engine idle quality and
reduce idle speed
improve engine fuel economy and
emission
eliminate engine throttle andthrottling losses with gasoline
engines
directly control internal EGR for NOx
emission reduction
faster catalyst light-off
improve turbocharger performance
6. Variable Valve Timing (VVT)
Introduction:
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Reduce pumping losses caused by throttling early IVC (inlet valve closed partway through induction strokk)
late IVC (inlet valve closed partway through compression stroke)
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Multi-profile VVT systems:
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Variable Timing and Lift - BMW Valvetronic :
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Variable Phasing :
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Continuously variable VVT systems