Mathematical modeling of nanoparticle cloud combustion considering particle phase change in the reaction zone in a non-premixed combustion system with counterflow configuration

Document Type : Original Article

Authors
1 Department of Mechanical Engineering, Ma.C., Islamic Azad University, Mashhad, Iran
2 Department of Mechanical Engineering,Faculty of Advance Technologies,Quchan University of Technology, Quchan, Iran
Abstract
the multi-stage edge combustion of super particles has been modeled, and the effect of changing the fuel type on the change in the triple flame propagation velocity has been considered; by introducing the effects of particle disintegration in the preheating zone for two states of uniform and random particle distribution, the temperature change profile of the particles has been obtained. the effects of heat dissipation in four states have been investigated, assuming the pyrolysis in a limit zone. The mass fraction conservation equations of gaseous fuel, solid fuel, oxidant and energy conservation were solved for the above four states. A suitable theory for triple flames in the limit of large activation energy (large β) and definite but small heat release (small α but non-zero) was presented using the parabolic flame path approximation for multi-stage edge combustion of super nanoparticles. analytical formulas were presented to determine the flame propagation velocity and triple flame curvature. The temperature, rate and reaction rates were expressed analytically. the effect of fuel changes from methane gas fuel to solid iron nanoparticle fuel was introduced. This fuel change shows that in an equal mixture fraction gradient; the triple flame propagation velocity is higher for methane gas fuel than iron nanoparticle fuel. with increasing fuel Lewis number from 0.4 to 2.5, the flame formation location gradually increases from 0.5003 at Lewis number 0.4 to -0.1233 at Lewis number 2.5. increasing oxidant Lewis number from 0.4 to 2.5, the flame formation location gradually increases from -0.0916 to 0.1985.
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Articles in Press, Accepted Manuscript
Available Online from 20 December 2025

  • Receive Date 24 September 2025
  • Revise Date 14 November 2025
  • Accept Date 20 December 2025
  • First Publish Date 20 December 2025
  • Publish Date 20 December 2025