Mathematical modeling of premixed counterflow combustion of organic dust cloud


Combustion of organic dust particles in a counterflow configuration is investigated.

Strain rate, flame velocity and gaseous fuel fraction have been studied.

Fuel particle mass fraction vs. the distance from the stagnation plate is studied.

For higher values of strain rate, flame temperature and flame speed increase.

Unlike the gas flame, in dust flame there is a new term indicative of particle vapor.


In the present study, a mathematical approach is utilized so as to modeling the flame structure of organic dust particle and air through a two-phase mixture consisting in a counterflow configuration where heat loss is taken into account. Lycopodium is considered as the organic fuel in our research. In order to simulate combustion of organic dust particles, a three-zone flame structure has been considered; preheat-vaporization zone, reaction and post flame zones. The variations of the gaseous phase mass fraction and fuel particle mass fraction as a function of the distance from the stagnation plate are obtained. Subsequently, flame temperature and flame velocity in terms of strain rate are studied. Finally, the effect of heat loss on the non-dimensionalized temperature at different heat loss coefficients is investigated.

Graphical abstract

The paper is aimed at studying combustion of organic dust particles in a counterflow configuration by using mathematical approach.


  • Counterflow combustion;
  • Organic dust cloud;
  • Mathematical modeling;
  • Flame structure;
  • Asymptotic solution;
  • Heat loss

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