11
2
Chemistry o f Pyrotechnics
can be expressed in two ways - mass reacting per unit time or
length burned per unit time. The loading pressure used, and
the resulting density of the composition, will determine the re-
lationship between these two rate expressions.
Reaction velocity is primarily determined by the selection of
the oxidizer and fuel. The rate-determining step in many high-
energy reactions appears to be an endothermic process, with de-
composition of the oxidizer frequently the key step. The higher
the decomposition temperature of the oxidizer, and the more en-
dothermic the decomposition, the slower the burning rate will be
(with all other factors held constant).
Shimizu reports the following reactivity sequence for the most-
common of the fireworks oxidizers [8]
KC1O
3
> NH,,C1O,, > KC1O
q
> KNO
3
Shimizu notes that potassium nitrate is not slow when used in
black powder and metal-containing compositions in which a "hot"
fuel is present. Sodium nitrate is quite similar to potassium ni-
trate in reactivity.
Shidlovskiy has gathered data on burning rates for some of
the common oxidizers [1]. Table 5.5 contains data for oxidizers
with a variety of fuels. Again, note the high reactivity of potas-
sium chlorate.
TABLE 5.5
Burning Rates of Stoichiometric Binary
Mixturesa
a
Reference 1.
bCompositions were pressed in cardboard tubes of
16 mm diameter.
cX indicates that the mixture did not burn.
Ignition and Propagation
113
The fuel also plays an important role in determining the rate
of combustion.
Metal fuels, with their highly exothermic heats
of combustion, tend to increase the rate of burning. The pres-
ence of low-melting, volatile fuels (sulfur, for example) tends to
retard the burning rate. Heat is used up in melting and vapor-
izing these materials rather than going into raising the tempera-
ture of the adjacent layers of unreacted mixture and thereby ac-
celerating the reaction rate.
The presence of moisture can greatly
retard the burning rate by absorbing substantial quantities of
heat through vaporization. The heat of vaporization of water -
540 calories/gram at 100°C - is one of the largest values found
for liquids. Benzene, C
6
H
6
,
as an example, has a heat of vapor-
ization of only 94 calories/gram at its boiling point, 80°C.
The higher the ignition temperature of a fuel, the slower is
the burning rate of compositions containing the material, again
with all other factors equal. Shidlovskiy notes that aluminum
compositions are slower burning than corresponding magnesium
mixtures due to this phenomenon [1] .
The transfer of heat from the burning zone to the adjacent
layers of unreacted composition is also critical to the combustion
process.
Metal fuels aid greatly here, due to their high thermal
conductivity. For binary mixtures of oxidizer and fuel, combus-
tion rate increases as the metal percentage increases, well past
the stoichiometric point.
For magnesium mixtures, this effect is
observed up to 60-70% magnesium by weight. This behavior re-
sults from the increasing thermal conductivity of the composition
with increasing metal percentage, and from the reaction of excess
magnesium, vaporized by the heat evolved from the pyrotechnic
process, with oxygen from the atmosphere [1].
Stoichiometric mixtures or those with an excess of a metallic
fuel are typically the fastest burners. Sometimes it is difficult
to predict exactly what the stoichiometric reaction(s) will be at
the high reaction temperatures encountered with these systems,
so a trial-and-error approach is often advisable. A series of
mixtures should be prepared - varying the fuel percentage
while keeping everything else constant.
The percentage yield-
ing the maximum burning rate is then experimentally determined.
Variation in loading density, achieved by varying the pressure
used to consolidate the composition in a tube, can also affect the
burning rate.
A "typical" high-energy reaction evolves a sub-
stantial quantity of gaseous products and a significant portion of
the actual combustion reaction occurs in the vapor phase. For
these reactions, the combustion rate (measured in grams con-
sumed/second) will increase as the loading density decreases.
A loose powder should burn the fastest, perhaps reaching an
Linear burning rate, mm/secb
Oxidizer
Fuel
KC1O
3
KNO
3
NaNO
3
Ba(NO3)2
Sulfur
2
Xc
X
Charcoal
6 2
1
0.3
Sugar
2.5
1
0.5 0.1
Shellac
1 1 1
0.8