Study of natural gas/air combustion in the three-region porous medium burner

  • Mohammad Shafiey DehajEmail author
  • Alireza Arab Solghar
Technical Paper


In the present study, combustion of fuel/air in the three-region (compact) porous burner is investigated experimentally and numerically under a variety of the operating conditions. Temperature profiles on the burner centerline, pressure drop, and burner efficiency were found. Moreover, the effects of excess air ratio and thermal load were evaluated. In addition to the experimental work, a 2-D numerical modeling was carried out to find the details of flow in the burner. So, the continuity, Navier–Stokes, energy and chemical species transport equations were simultaneously solved and the heat release was expressed through a multistep kinetics mechanism. The solid matrix was considered as a gray medium, and the finite-volume method was employed to solve the radiative transfer equation for the computation of the local radiation source/sink of the solid phase. The numerical findings were validated versus the experimental results for the temperature profile of the burner centerline and NOx emission. Here, unlike previous works reported in the literature, the fluid flow and heat transfer inside the heat exchanger was simulated in detail. Moreover, the efficiency of the heat exchanger was measured under several working conditions.


Combustion Porous burner Experimental analysis Numerical simulation Thermal efficiency 

List of symbols


Surface area per unit volume (m−1)


Specific heat of the fluid (J kg−1 K−1)


Binary diffusion coefficient (J kg−1 K−1)


Particle diameter (m)


Pore diameter (m)


Volumetric heat transfer coefficient, ahc (W m−3 K−1)


Enthalpy (J kg−1)


Radiant intensity (W m−2 sr−1)


Nusselt number (–)


Pressure (N m−2)


Radiant heat flux (W m−2)


Reynolds number, φρUdpμ−1


Total contact resistance (m2 K W−1)


Radial coordination (m)


Radiative geometry path length (m)


Unit vector into a given direction (–)


Temperature (K)


Velocity (m s−1)


Molecular weight of species k (kg kmol−1)


Axial coordination (m)


Mass fraction of species k (–)


Pressure loss along ∆L due to the porous matrix (N m−3)

Greek symbols


Extinction coefficient (m−1)


Porosity (–)


Scattering phase function (sr−1)


Equivalence ratio


Absorption coefficient (m−1)


Viscosity (W m−1 K−1)

\(V_{k,i}^{{\prime }}\)

Stoichiometric coefficient of the forward direction

\(V_{k,i}^{{\prime \prime }}\)

Stoichiometric coefficient of the backward direction


Density (kg m−3) or reflectivity (–)


Absorptivity (–)


Scattering coefficient (m−1)


Solid angle (sr)


Scattering albedo (–)

\(\dot{\omega }_{k}\)

Molar rate of reaction of species k (kmol m−3 s−1)


Thermal conductivity (W m−1 K−1)


Stephan–Boltzman constant (5.670 × 10−8 W m−2 K4)


Emissivity (–)









Transport direction








At a given wave number


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Faculty of EngineeringVali-e-Asr University of RafsanjanRafsanjanIran

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