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Analytical investigation of temperature distribution and flame speed across the combustion zones propagating through an iron dust cloud utilizing a three-dimensional mathematical modeling

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Abstract

In the analytical model of iron dust cloud combustion presented in this article, by solving the 3D energy equations, the gas temperature distribution in the channel and a new equation for flame speed are obtained. This equation can determine the relationship between flame speed and particle radius and dust concentration. The equations are written in two limiting cases: lean and rich mixtures. Flame structure consists of preheat, reaction, and post-flame zones for the lean mixture and preheat and reaction zones for the rich mixture. Equations in both mixture conditions are solved using the finite Fourier transform method. By solving the energy equations in each zone and matching the temperature and heat flux at the interfacial boundaries, algebraic equations of flame speed are obtained. The obtained gas temperature distribution in different flame zones in the channel and also flame speed changes in terms of particles’ radius, equivalence ratio, and channel width in both lean and rich mixtures are presented in the results section.

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Authors and Affiliations

  1. Combustion Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology (IUST), Narmak, Tehran, 16844, Iran

    Mehdi Bidabadi & Majid Mafi

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  1. Mehdi Bidabadi
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  2. Majid Mafi
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Correspondence to Majid Mafi.

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Bidabadi, M., Mafi, M. Analytical investigation of temperature distribution and flame speed across the combustion zones propagating through an iron dust cloud utilizing a three-dimensional mathematical modeling. Korean J. Chem. Eng. 29, 1025–1037 (2012). https://doi.org/10.1007/s11814-011-0275-2

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  • DOI: https://doi.org/10.1007/s11814-011-0275-2

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