382 Future Directions
due to Huygen’s Principle. The chemistry was included in a premixed flamelet library
that depends on a variable (G) that indicates the distance from any point to the flame
surface. Partial premixing is included by defining a conserved scalar and by adding
a library for nonpremixed flamelets. The idea is that a flamelet solution provides
the number of kilograms per second of CO that is produced per unit flamelet area.
This number is then multiplied by the predicted flame surface area per unit volume,
which is deduced from the mean gradient of the G field. This yields the computed
volumetric CO reaction rate. The post-flame reaction rates and residence times also
are modeled to account for NO
x
that is created and CO that is oxidised in the post-
flame gases. This approach inherently contains assumptions about several values of
means and variances that result in the prediction of how much of the fuel burns in
the premixed mode and how much burns in the non-premixed mode.
The DLN and TAPS devices previously described contain ‘partially premixed
combustion’ (PPC). Normally the term “premixed flame” implies that fuel and air
are fully mixed with no stratification in the reactants. Therefore the term PPC is
used to refer to reactants that are not fully mixed. That is, PPC consists of stratified
premixed or stratified non-premixed flames that often are close enough to each
other to interact. One example of PPC occurs when the fuel equivalence ratio varies
along a reaction layer and there are regions where the reactant mixture lies within
the flammability limits, so a stratified premixed flame exists. In other regions the
reactants lie outside of the flammability limits so a stratified non-premixed flame
exists. Where local extinction occurs along the reaction layer, two edge flames may
propagate towards each other to reconnect the layer. The similar case of edge (triple)
flames [43] near the base of a lifted non-premixed jet flame represents another
example of PPC. In addition, PPC has been used to describe a rich premixed Bunsen
flame that interacts with a downstream non-premixed flame; the latter exists at the
boundary between the rich combustion products and the surrounding air.
A number of new technologies are needed to address the research challenges
of modelling partially premixed combustion. Experimental methods are needed
to quantify how much of the fuel burns in the premixed mode and in the non-
premixed mode. To do so, measurements of the flame index would be helpful. The
flame index is the product of the local gradients of the fuel and the oxidiser mass
fractions. A positive index identifies a premixed flamelet whereas a negative index
identifies a non-premixed flamelet. The DNS of Takeno and co-workers [44] provided
computed values of the flame index. To assess such simulations, fuel gradients can be
measured by use of line Raman [45] or PLIF of fuels (or fuel markers) that fluoresce.
Measurements of the oxidiser gradients are still a challenge. Reaction-rate intensity
can be identified by employing simultaneous OH–formaldehyde PLIF diagnostics
[46], and this may provide another way to differentiate between premixed and non-
premixed combustion. Other experimental challenges are the application of PIV
and PLIF to the high-pressure, dense spray environment of LPP devices and the
measurement of scalar gradients. At high pressures the background radiation from
soot precursors presents a formidable interference for both PIV and PLIF signals. In
dense sprays, PIV may incorrectly track the drop velocity instead of the gas velocity.
Models of the chemistry in LP devices [41, 42] considered two regions: the
primary reaction layers (flamelets) within the flame brush and the post-flame gases,
where distributed secondary reactions continue to form NO
x
and to oxidise CO.