
accompanied by the sustained combustion process. The rate
of the movement of the pyrolysis front, accompanied by the
sustained combustion process, is defined as the flame propa-
gation rate. For a sustained fire propagation process, flame
or external heat sources need to transfer heat flux ahead of
the pyrolysis front to satisfy the CHF and TRP values.
Flame propagation can occur in the downward, upward,
and horizontal directions.
Three test apparatuses and methods have been developed
to determine the fire properties associated with flame propa-
gation: (1) the ASTM D 2863 oxygen index test method for
downward flame propagation for small samples [14]; (2) the
ASTM E 1321-90 lateral ignition and flame spread (LIFT)
test method for horizontal and lateral flame propagation
[15,16]; and (3) the fire propagation index (FPI) test method
for vertical flame propagation [2,3,17,18].
In the LIFT and FPI test methods, the following definition
of the flame propagation velocity for thermally thick poly-
mers is utilized [2,3,7,15]:
u ¼
funct(
_
qq
00
f
)
[DT
2
ig
krc
P
]
, (53:6)
where u is the flame propagation rate in m/s, funct (
_
qq
00
r
)isa
function representing the flame heat flux transferred to the
surface of the polymer ahead of the pyrolysis front
(kW
2
=m
3
), r is the density of the polymer (kg=m
3
), c
p
is
the specific heat of the polymer (MJ/kg-K), k is the thermal
conductivity of the polymer (kW/m-K) and D T
ig
is the
ignition temperature above ambient (K) [see the definition
of the TRP for thermally thick polymer in Eq. (53.4)].
53.6 TESTING METHODS FOR FLAME
PROPAGATION
53.6.1 The ASTM D 2863 Oxygen Index Test
In this test, downward flame propagation for small verti-
cal sheets (6.5-mm wide, 70–150-mm long, 3-mm thick) is
examined, in air flowing in the opposite direction with
variable oxygen concentration [14]. Minimum oxygen
concentration (volume percent) at or below which the
downward flame propagation cannot be sustained, defined
as the limiting oxygen index (LOI), is determined [14]. The
LOI values reported in the literature [8,19] are compiled in
Table 53.6.
For PMMA, LOI¼17.3 in Table 53.6 which is higher than
the oxygen concentration of 16.0% required for flame ex-
tinction for larger PMMA slabs [6]. The difference is prob-
ably due to differences in the flame radiation and flow
characteristics. For example, for larger PMMA slabs ex-
posed to external heat flux values of 40, 60, and
65 kW=m
2
in the ASTM E 2058 FPA, flame extinction
occurs at oxygen concentrations of 13.0%, 12.0%, and
11.5%, respectively [6]. The LOI value decreases with in-
crease in the gas temperature as indicated by the LOI values
of the composite systems in Table 53.6.
The oxygen index test utilizes the flame radiation scaling
technique for small samples and indirectly assesses heat flux
from the flame through LOI. At or below the LOI value of a
polymer, the heat flux requirements for CHF and TRP
values for fire propagation are not satisfied. The higher is
the LOI of a polymer, higher are its CHF and TRP values
and/or lower is the heat flux provided by its flame, and the
polymer is considered as fire hardened.
The oxygen index test is used for molded polymers,
fabrics, expanded polymers, thin films, polymers which
form char, drip, or soften, and for liquids. The data are
reproducible. The test is used to study polymer combustion
chemistry, fire retardant treatment of the polymers and for
screening the polymers. No relationships have been estab-
lished between LOI and the flame heat flux, CHF, TRP, and
fire propagation rate. The application of the oxygen index
test data to predict the fire propagation behavior of polymers
expected in actual fires is thus uncertain.
53.6.2 The ASTM E 1321-90 Lateral Ignition
and Flame Spread (LIFT) Test
Equation (53.6) is expressed as [15]:
u ¼
C
TRP
2
, (53:7)
where C is defined as the flame heating parameter
(kW
2
=m
3
). The ignition and flame spread tests are per-
formed in normal air at various external heat flux values
[15,16]. In the ignition tests, 155-155-mm samples are
exposed to various external heat flux values and times to
flame attachment are measured [15,16]. The values of
k, r, c
p
, DT
ig
are determined from the relationship between
the time to flame attachment and external heat flux [15,16].
These values can be used to calculate the TRP value [Eq.
(53.4)].
In the flame spread tests, 155-mm wide and 800-mm long
horizontal samples in a lateral configuration are used
[15,16]. The samples are exposed to an external heat flux
which is 5 kW=m
2
higher than the CHF value in the ignition
zone [15,16]. Beyond the ignition zone, the external heat
flux decreases gradually and is significantly lower than the
CHF value at the end of the sample [15,16]. The sample is
preheated to thermal equilibrium and ignited with a pilot
flame in the ignition zone. The pyrolysis front is tracked as a
function of time and is used to determine the flame heating
parameter and used in Eq. (53.7) along with the TRP value
to calculate the flame propagation rate. The flame propaga-
tion rate calculated from the data reported in Refs. 15 and 19
are listed in Table 53.7. The relative flame propagation rate
is also listed in Table 53.7.
In the LIFT Apparatus, most of the common polymers
and carpets have faster lateral flame propagation than
898 / CHAPTER 53