In this paper, we perform a numerical analysis of a two-dimensional axisymmetric problem arising in premixed combustion in a porous burner with integrated heat exchanger. The physical domain consists of two zones, porous and heat exchanger zones. Two dimensional Navier-Stokes equations, gas and solid energy equations, and chemical species transport equations are solved and heat release is described by a multistep kinetics mechanism. The solid matrix is modeled as a gray medium, and the finite volume method is used to solve the radiative transfer equation to calculate the local radiation source/sink in the solid phase energy equation. Special attention is given to model heat transfer between the hot gas and the heat exchanger tube. Thus, the corresponding terms are added to the energy equations of the flow and the solid matrix. Gas and solid temperature profiles and species mole fractions on the burner centerline, predicted 2D temperature fields, species concentrations and streamlines are presented. Calculated results for temperature profiles are compared to experimental data. It is shown that there is good agreement between the numerical solutions and the experimental data and it is concluded that the developed numerical program is an excellent tool to investigate combustion in porous burner.
List of symbols c pSpecific heat of the fluid (J kgof reactions N s Number of chemical species N T Number of particles per unit volume (m -3 ) Nu Nusselt number (-) p Pressure (N m -2 ) Pr Prandtl number (-) q Radiant heat flux (W m -2 ) R Universal gas constant (J kg -1 K -1 ) R i Rate of reaction i R contact Thermal contact resistance (m 2 K W -1 ) R t Total thermal resistance (m 2 K W -1 ) Re Reynolds number, /qVd p l -1 r Radial coordinate (m) r i Inside tube diameter (m) r o Outside tube diameter (m) s Radiative geometry path length (m) s Unit vector (-) T Temperature (K) u Axial velocity (m s -1 ) V Velocity vector (m/s) v Radial velocity (m s -1 ) W Molecular weight (kg kmole -1 )