COMBUSTION AND FLAME 85:363-379 (1991) 363
The Acceleration of Flame Propagation in a Tube
by an Obstacle
H. PHYLAKTOU and G. E. ANDREWS
Department of Fuel and Energy, The University of Leeds, Leeds, LS2 9JT, UK
A quantitative determination was made of the effect of a single baffle on the characteristics of gas explosions in a
76-mm-diameter closed vessel of large length to diameter ratio (LID = 21.6). Mixtures of methane-air were
predominantly used, but other gases were also investigated. Ignition was effected at one end of the vessel. Single
hole plates were employed as baffles with varying blockage ratios (20%-80%). The flame speed and rate of
pressure rise were greatly enhanced downstream of the baffle. The relative effect of the baffle increased with
increasing blockage ratio. It was 8 times more severe with the baffle at 7D from the spark than at 14D. The flow
rate of the unburned gas, set in motion ahead of the flame was determined by measuring the pressure drop across
the baffle. From the unburned gas velocity the rms turbulent velocity (u') was determined using experimental
correlations of grid-generated turbulence, and from this the turbulent burning velocity and turbulence factor ~ were
calculated. The turbulence factor was found to be equal to the normalized rate of pressure rise. This demonstrated
that current turbulent combustion theory (for high Reynolds number flows) can explain and predict the phenomena
observed in such combustion regimes. Turbulent flame extinction was predicted for high blockages and experimental
evidence of localized flame quenching was found. However, no total flame extinction was observed as the
turbulence generated by the baffle was nonuniform and the flame could propagate round local high turbulence
regions. The turbulent burning velocity was found to be as high as 110 times the laminar value. In the current
literature for vent design a turbulence factor of 10 is suggested for severe cases of turbulence, The present results
show the need for reviewing these guidelines if high blockages to the explosion gases exist. A method for
estimating /3 more accurately is tentatively introduced and shown to give very good agreement with the
experimental results.
INTRODUCTION
An explosion can be characterized by two param-
eters: the maximum pressure attained and the rate
of pressure rise. When the venting of an explo-
sion is under consideration the rate of pressure
rise is crucial [1], as it determines the size of the
vent required to limit the maximum overpressure
to a safe level.
The majority of experimental data on which
vent design is based has been obtained under
conditions of low turbulence and in simple ge-
ometries [2]. In practical situations, many enclo-
sures in which gas explosions could occur are
likely to contain obstructions such as shelves,
machinery, walkways, heat exchanger tubes,
baffle plates, interconnecting doors, and the like.
These obstructions will produce turbulence in the
unburned gases set in motion by the advancing
flame. When the flame encounters this turbulence
it is affected in two ways: small-scale turbulence
increases the local heat and mass transfer rates
and large-scale turbulence distorts the flame front
and increases the flame area. These factors en-
hance the combustion rate and hence increase the
rate of pressure rise.
The majority of previous work on the influence
of obstacles has been done in long tubes, gener-
ally open (at either one or both ends), using
methane-air mixtures, and with flame speeds be-
ing the main parameter measured. A number of
researchers [3-8] have shown that arrays of ob-
stacles in such configurations greatly enhance the
speed of flame propagation and can drastically
reduce the transition distance to detonation.
In view of its importance in connection with
accidental explosions, other authors [9-15] have
also demonstrated that when the turbulence inten-
sity is maintained by placing several obstacles in
the path of a propagating flame, the rate of
combustion and degree of turbulence become
highly coupled so as to promote a strong feed-
back mechanism that in partly confined geome-
tries can lead to violent explosions.
For geometries other than tubes, Dorge et al.
[16] demonstrated the influence of wire mesh grid
plates in large volume explosions. Kumar et al.
[17] discussed the effect of baffle in near spherical
Copyright © 1991 by The Combustion Institute
Published by Elsevier Science Publishing Co., Inc. 0010-2180/91/$3.50