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The discrete heat source approach to dust cloud combustion

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Abstract

In the present paper, combustion of dust clouds from the discrete point heat source method has been addressed. Time-place temperature profile generated by single particle burning has been obtained to study the dust combustion. The summation of the temperature profiles of burned and burning particles predict the temperature in the preheating zone so that the ignition time of layer in flame front can be determined. Consequently the flame propagating speed was obtained based on the dust concentration corresponding to particles spacing and particle diameter. This method has been validated with aluminum dust cloud combustion. Decrease in the dust concentration leads to the lean limit of dust combustion. Increase in particles diameter or reduction in the dust concentration causes higher lean limit and also reduction in the flame propagating speed. Adding the ignition energy as igniter to this system, provides the path to study the effects of ignition energy in the dust combustion.

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Abbreviations

A :

Area

C d :

Dust concentration

D :

Diameter

H :

Convection coefficient

i, j, k :

Components of Cartesian coordinate

k :

Thermal conductivity

L :

Distance of two adjacent particles or layers

n :

Layer’s number, number of

Q :

Heat released by igniter

\(\dot{q}\) :

Particle burning heat release per second

r :

Radius, radial distance

t :

Time

T :

Temperature

x :

Axial distance

a :

Burning zone

f :

Flame

ig :

Ignition temperature, due to igniter

p :

Particle

∞ :

At infinity

α :

Thermal diffusivity

δ :

Dirac delta function

ɛ :

Nondimensional time

φ :

Nondimensional parameter

η :

Nondimensional distance, nondimensional distance of two adjacent layers

θ :

Nondimensional temperature

ρ :

Density

τ :

Particle burning time

ψ :

Nondimensional temperature distribution due to igniter

Φ :

Equivalence ratio

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Authors and Affiliations

  1. Combustion Research Laboratory, Department of Energy Conversion, School of Mechanical Engineering, Iran University of Science and Technology, 16887, Narmak, Tehran, Iran

    Mehdi Bidabadi

  2. Department of Aerospace Engineering, School of Mechanical Engineering, Iran University of Science and Technology, 16887, Narmak, Tehran, Iran

    Saeedreza Zadsirjan

  3. Department of Mechanical Engineering, Faculty of Engineering, Arak University, 38156-88349, Arak, Iran

    Seyed Alireza Mostafavi

Authors
  1. Mehdi Bidabadi
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  2. Saeedreza Zadsirjan
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  3. Seyed Alireza Mostafavi
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Correspondence to Seyed Alireza Mostafavi.

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Bidabadi, M., Zadsirjan, S. & Mostafavi, S.A. The discrete heat source approach to dust cloud combustion. Heat Mass Transfer 50, 759–767 (2014). https://doi.org/10.1007/s00231-013-1283-z

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