Mathematical Modeling of a Non-premixed Organic Dust Flame in a Counterflow Configuration

Abstract

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.

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

“…For unit fuel Lewis number, enhancement of the oxidizer Lewis number resulted in a reduced a a 0 ratio. These findings are well in line with the reports of Bidabadi et al 18 and Seshadri and Trevino. 41…”

“…16 Wilson and Lyons 17 empirically examined a biogas-fueled combustor to study the turbulence in nonpremixed flames with coflow configuration. Bidabadi et al 18 mathematically modeled a nonpremixed organic dust flame inside a counterflow arrangement to illustrate the variations in flame temperature, gaseous fuel, and oxidizer mass fractions with respect to fuel and oxidizer Lewis numbers. In another research study, Bidabadi et al 19 suggested an analytical model to simulate the volatile organic particles-fueled counterflow diffusion flames taking drying and vaporization zones into account.…”

A simplified mathematical study of thermochemical preparation of particle oxide under counterflow configuration for use in biomedical applications

“…Reaction process occurs within a very thin zone as the value of Zeldovich number is considered to be very large. The one-stage Arrhenius model is used to describe the reaction process as [32]…”

“…Also, −∞ represents the initial mass fraction of the particles at = −∞. Following correlation is used to define the Lewis number [32] = (15) where and represent the thermal diffusivity and mass diffusivity of fuel or oxidizer, respectively.…”

“…diffusion coefficient of oxidizer.In order to consider the impact of Lewis number, an effective dimensionless parameter, on the flame characteristics, the governing equations are normalized by the following dimensionless variables[32] …”