4.2 Combustion Investigations
109
where S
t
is the turbulent flame speed, S
l
the laminar flame speed, U
t
turbulent intensity
and a & b are constant that depend on the geometry and
specific conditions in the
combustion chamber. The difference between the laminar and turbulent burning
velocities can be 3-30 times [236]. Although laminar flame speed could
be derived
from the measurements, it was considered not to offer
additional benefits as
comparative fuel properties were under investigation and not each fuel separately.
Flame images were used to calculate the cross sectional area and the
circumference of the propagating flame and on the
assumption that the flame
propagates spherically, radius increase per time step could be found. All raw images
were background corrected and the threshold used for flame front detection was set
based on the intensity of the specific combustion event. Electrode size was used for
calibrating the pixels/mm value.
A sample of the image processing and time series of a combustion event can
be seen in Figure 4.20. Figure 4.21 displays the radius change in time based on the
two methods described. It can be seen that the circumference based measurement
method produced calculated radius values twice as large as the area based method.
This was likely to have been caused by difficulties in flame edge detection. It was
especially prominent feature at the beginning of the combustion
event and at time
instants after 35-40 ms, where high spark and flame intensities, respectively, caused
misinterpretation of images due to limitations of the threshold values used.
Furthermore, a much steadier change in radius was found with area based calculations.
As such, it was decided that only the area based calculation of flame speed
would be used, where the typical averaging time period was between 15-35 ms. Figure
4.22 displays typical pressure and heat release rate
traces for gasoline vapour
combustion. It can be observed that the peak pressure reached was two orders of
magnitude larger than that for spray combustion. Additionally, repeatability in peak
pressure and heat release rate over five combustions was found to be less than 2%
which was thought to be low enough for the current investigations. Furthermore, using
a
Lambda sensor, exhaust gas analysis showed that around 1.3% error in pre-
combustion gas mixture composition was experienced
over the same number of
combustion events.
4.2 Combustion Investigations
110
Do'stlaringiz bilan baham: