17
PM
Particulate Matter
PMT
Photomultiplier Tube
PN
Particulate Number
PPM
parts per million, mg/L
PT
Pressure Transducer
RCM
Rapid Compression Machine
SG
Shadowgraph(y)
SI
Spark Ignition
SMD
Sauter
Mean Diameter
SOI
Start of Injection
Symbols
A
Area
(m
2
)
A
Constant. 25.1 for pintle nozzles, 23.9
for hole
nozzles, 22.4 for throttling pintle nozzles.
B, C
Constant determined by nozzle geometry
f
focal length
ν
Kinematic
viscosity of fuel
(m
2
/s)
σ
Surface tension
(N/m)
ρ
Density
(kg/m
3
)
µ
Viscosity of fuel
(Pa*s)
θ
Half cone angle of spray/ Contact angle
(°)
ΔP
Mean pressure drop across the nozzle
(MPa)
Q
Injection
quantity
(m
3
/stroke)
Q’
Injection quantity
(kg/s)
t
Liquid film thickness at plane of discharge from nozzle
(m)
V
Volume of
fuel per cycle per cylinder
(m
3
/stroke)
Subscripts and Superscripts
a
Air
c
Critical
eff
Total effective for all nozzle holes at ΔP
f
Fuel
18
fc
Fuel per cycle per cylinder
g
Gas
l
Liquid
orf
Total
for all nozzle holes
1.1 Background on Additives
19
Chapter 1
1
Introduction
The discovery of crude oil in the middle of 19
th
century and the subsequent
development of the internal combustion engine have led
the use of fossil fuels to
increase exponentially. Figure 1.1 displays the increase in the number of cars and fuel
usage throughout the last century in USA. Similar trends can be seen throughout the
Figure 1.1: Fuel Usage and Number of Cars in the USA throughout 20th century [1, 2]
-
1,000
2,000
3,000
4,000
5,000
6,000
7,000
8,000
9,000
10,000
-
50,000
100,000
150,000
200,000
1890
1910
1930
1950
1970
1990
2010
Gas
oli
n
e
D
ai
ly
S
u
p
p
ly
, t
h
ou
sa
n
d
b
ar
rel
s
N
u
m
b
e
r
o
f R
e
gi
ste
re
d
Car
s,
t
h
o
u
san
d
s
Year
Number of Cars
Gasoline Supply
1.1 Background on Additives
20
developed world. It has been widely accepted that the emissions from burning fossil
fuels contribute towards climate change and air pollution.
As a result increasingly
stringent regulations, for instance the EURO 1-6 emission standards shown in Table
1.1, concerning fuel efficiency and emissions are imposed on new vehicles. The need
for compliance with the regulations has been among driving forces behind advances
in engine and fuel technologies. Among techniques employed to improve the fuel’s
performance is the use of fuel additives. They are a chemical tool used to improve fuel
properties and offer great advantages from environmental and economic point of view.
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