Theoretical Investigation of Particle Behavior on Flame Propagation in Lycopodium Dust Cloud

Abstract

The main aim of this research is focused on determining the velocity and particle density profiles across the flame propagation of microlycopodium dust particles. In this model, it is tried to incorporate the forces acting on the particles such as thermophoretic, gravitational, and buoyancy in the Lagrangian equation of motion. For this purpose, it is considered that the flame structure has four zones (i.e., preheat, vaporization, reaction, and postflame zones) and the temperature profile, as the unknown parameter in the thermophoretic force, is extracted from this model. Consequently, employing the Lagrangian equation with the known elements results in the velocity distribution versus the forefront of the combustion region. Satisfactory agreement is achieved between the present model and previously published experiments. It is concluded that the maximum particle concentration and velocity are gained on the flame front with the gradual decrease in the distance away from this location.

Analysis of nonpremixed multiregion laminar flames through biofuel porous particles considering the effect of heat recirculation

“…Because of its volatile content, flame propagation will decline its particle mass. [31][32][33] Basic characteristics of Lycopodium particles are listed in Table 1.…”

“…The Lycopodium particles were composed of roughly 50% fat oil, 24% sporopollenin, and 2% sucrose. Because of its volatile content, flame propagation will decline its particle mass 31‐33 . Basic characteristics of Lycopodium particles are listed in Table 1.…”

“…equations of solid fuel, gaseous fuel, and oxidizer mass fractions can be solved using Equations (48)-(51) under their corresponding boundary conditions.MALEKIAN ET AL. Profile of solid fuel mass fractionProfile of solid fuel mass fraction within the flame structure could be attained by solving Equation(48) under the boundary conditions mentioned in Equations(33) and(34). Thus, solid fuel mass fractions in preheat, postvaporization, and oxidizer zones are, respectively, ex-…”

Mathematical Modeling of Non-Premixed Laminar Flow Flames Fed with Biofuel in Counter-Flow Arrangement Considering Porosity and Thermophoresis Effects: An Asymptotic Approach

“…The thermophoresis phenomenon, first introduced by Tyndall, is due to the temperature gradient that transfers micro-sized particles from a warmer zone to a colder zone [33][34][35]. This phenomenon is notably influenced by the particle size and mean free path of the molecules [36][37][38]. It should be pointed out that the ratio of the molecules mean free path to diameter is represented by the Knudsen number that can be obtained by the following equation [36]:…”

“…where r p is the radius of the particles, and L is the mean free path of the molecules that can be defined as follows [36,38]:…”