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Heat and Mass Transfer

, Volume 50, Issue 6, pp 759–767 | Cite as

The discrete heat source approach to dust cloud combustion

  • Mehdi Bidabadi
  • Saeedreza Zadsirjan
  • Seyed Alireza MostafaviEmail author
Original

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.

Keywords

Discrete heat source Dust combustion Aluminum particles Burning velocity Lean limit Ignition temperature 

List of symbols

A

Area

Cd

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

Subscripts

a

Burning zone

f

Flame

ig

Ignition temperature, due to igniter

p

Particle

At infinity

Greeks

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Mehdi Bidabadi
    • 1
  • Saeedreza Zadsirjan
    • 2
  • Seyed Alireza Mostafavi
    • 3
    Email author
  1. 1.Combustion Research Laboratory, Department of Energy Conversion, School of Mechanical EngineeringIran University of Science and TechnologyNarmak, TehranIran
  2. 2.Department of Aerospace Engineering, School of Mechanical EngineeringIran University of Science and TechnologyNarmak, TehranIran
  3. 3.Department of Mechanical Engineering, Faculty of EngineeringArak UniversityArakIran

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