Figure 7. Effect of wall thermal conductivity on the critical flow
velocity of the gas fired burner at a fixed external heat loss
coefficient.
The fluid centerline temperature profiles are presented in Figure 8
along the length of the burner with preheating, combustion, and
post-combustion or cooling regions. For most cases studied, burners
exhibit similar combustion characteristics that are summarized here.
There are three regions in these burners, namely preheating, combustion,
and post-combustion or cooling regions. The width of these regions
changes as a function of operating conditions, and their distinction is
not always as sharp. In the preheating region, the wall temperature is
significantly higher than the fluid temperature, so energy transfers
from the wall to the fluid. The wall thermal conductivity is
significantly larger than that of the fluid mixture, so most of the
upstream conductive heat flux occurs within the walls of the reactor.
This energy is brought upstream from the post-combustion region where
walls are considerably hot. Since the mixture warms up from the wall
towards the centerline, ignition occurs near the wall and the flame
stabilizes at the centerline. This ignition mode is different from the
case where outside preheating is used to ignite the mixture. In the
latter case, ignition occurs at the centerline. Once the fluid reaches
the ignition temperature, there is an inflection point in the
temperature profile. The mixture combusts rapidly, releasing heat, which
causes a sharp rise in the fluid temperature in the combustion region.
The combustion zone is relatively narrow, a characteristic of highly
activated reactions. Even at these relatively small scales, the
transverse heat transfer within the fluid is much slower than the rate
of heat release so that the fluid centerline temperature in this zone
approaches approximately the adiabatic flame temperature. Combustion at
the lower adiabatic flame temperature produces a correspondingly lesser
amount of nitrogen oxides production. In the post-combustion region,
after the reactants are consumed, the reaction stops, the fluid cools
down to the wall temperature, and the walls are cooled by exterior heat
losses. There are no significant axial or transverse gradients within
this zone. In non-adiabatic cases, both the fluid and the wall would
eventually reach room temperature in sufficiently long burners. In some
cases, the maximum fluid temperature exceeds the adiabatic flame
temperature of butane-air mixture computed for room temperature.
Traditional continuous stirred tank reactor or plug flow reactor
analysis suggests that this is impossible to achieve with one-step
chemistry. However, in this distributed model, the wall acts as a
conduit for heat transfer from the hot exiting products to the cold
entering reactants. This link results in a heat recycle within the
system, which increases the temperatures near the inlet and allows a
maximum temperature that is greater than the adiabatic flame
temperature. Because of the overall energy conservation, the exiting
fluid temperature is in these cases lower than the adiabatic flame
temperature.