In the present article, an analytical
approach is employed to study
the counterflow non-premixed dust flame structure in air. Lycopodium
is assumed to be the organic fuel in this paper. First, it is presumed
that the fuel particles vaporize in a thin zone to form a gaseous
fuel to react with the oxidizer. The reaction rate is presumed to
be of the Arrhenius type in first order, with respect to the oxidizer
and fuel. Mass conservation equations of dust particles, oxidizer,
gaseous fuel and the energy conservation equation for non-unity Lewis
numbers of the oxidizer and fuel are presented as the governing equations.
Boundary conditions are applied for each zone for the purpose of solving
the governing equations analytically. The flame temperature, in terms
of the Lewis numbers for the oxidizer and fuel, is calculated. Furthermore,
the variation of flame position based on the Lewis numbers of the
fuel and oxidizer is evaluated. Also, mass fraction and temperature
profiles of oxidizer and fuel are presented. In addition, the variation
in the ratio of critical extinction values of strain rates, as a function
of the non-unity Lewis numbers of the oxidizer and fuel to their unity
Lewis numbers, is investigated.
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