Mathematical modeling of velocity and number density profiles of particles across the flame propagation through a micro-iron dust cloud

Bidabadi, Mehdi; Haghiri, Ali; Rahbari, Alireza

doi:10.1016/j.jhazmat.2009.10.130

Cited by 19 publications

(2 citation statements)

References 41 publications

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“…Liu et al [2] analyzed the flame propagation through hybrid mixture of coal dust and methane in a combustion chamber. A one-dimensional, steady-state theoretical analysis of flame propagation mechanism through microiron dust particles based on dust particles' behavior with special remark on the thermophoretic force in small Knudsen numbers is presented by Bidabadi et al [3]. Haghiri and Bidabadi [4] performed a mathematical model to analyze the structure of flame propagating through a two-phase mixture consisting of organic fuel particles and air.…”

Section: Introductionmentioning

confidence: 99%

Temperature Variations Analysis for Condensed Matter Micro- and Nanoparticles Combustion Burning in Gaseous Oxidizing Media by DTM and BPES

Hatami

Ganji

Boubaker

2013

ISRN Condensed Matter Physics

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Combustion process for iron particles burning in the gaseous oxidizing medium is investigated using the Boubaker polynomial expansion scheme (BPES) and the differential transformation method (DTM). Effects of thermal radiation from the external surface of burning particle and alterations of density of iron particle with temperature are considered. The solutions obtained using BPES technique and DTM are compared with those of the fourth-order Runge-Kutta numerical method. Results reveal that BPES is more accurate and reliable method than DTM. Also the effects of some physical parameters that appeared in mathematical section on temperature variations of particles as a function of time are studied.

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Section: Introductionmentioning

confidence: 99%

Temperature Variations Analysis for Condensed Matter Micro- and Nanoparticles Combustion Burning in Gaseous Oxidizing Media by DTM and BPES

Hatami

Ganji

Boubaker

2013

ISRN Condensed Matter Physics

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“…Also, Bidabadi et al 3 theoretically studied the distribution of iron dust particles through unburned zone across the flame propagation in a vertical duct by using homotopy analysis method. Also, Bidabadi et al 4 theoretically proposed a mathematical modeling of velocity and number density profiles of particles across the flame propagation through a micro-iron dust cloud. All three studies focused on the dynamic behavior of iron particle clouds and various forces exerted on the particles in the preheat zone, prior to the flame zone.…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling of combustion of a single iron particle burning in the gaseous oxidizing medium

Bidabadi

Mafi

2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present study, a theoretical investigation is accomplished to model the combustion of a single iron particle by virtue of a novel thermophysical approach. It is assumed that a spherical iron particle falls freely in the gaseous medium and preheats and then burns heterogeneously on its external surface in this hot oxidizing environment and oxygen diffuses inward to the particle. A new physical parameter for thermal radiation is introduced. By solving the energy conservation equation for the iron particle, the temperature distribution of the iron particle during the preheating and combustion processes is calculated analytically. Also, by solving the oxygen mass conservation equation, the variation of oxygen concentration within the iron particle during the combustion stage is estimated. In the proposed model, the effect of thermal radiation and dynamic behavior of burning iron particle are considered. Because of high thermal conductivity and micro size of iron particle, the Biot number is negligibly small. The non-homogeneous partial differential equations of energy and mass species resulted from the modeling of combustion are solved by utilizing the method of separation of variables. The assumptions applied in the modeling are such that do not violate the actual combustion phenomenon. Also, the numerical solution of energy equation in the combustion stage is presented and compared with the obtained analytical solution. Also, the burnout time of iron particle is evaluated in this article. This investigation is one of the first performed efforts for analyzing and modeling of single iron particle combustion.

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The discrete heat source approach to dust cloud combustion

2014

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Mathematical modeling of velocity and number density profiles of particles across the flame propagation through a micro-iron dust cloud

Cited by 19 publications

References 41 publications

Temperature Variations Analysis for Condensed Matter Micro- and Nanoparticles Combustion Burning in Gaseous Oxidizing Media by DTM and BPES

Temperature Variations Analysis for Condensed Matter Micro- and Nanoparticles Combustion Burning in Gaseous Oxidizing Media by DTM and BPES

Analytical modeling of combustion of a single iron particle burning in the gaseous oxidizing medium

The discrete heat source approach to dust cloud combustion

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