Original Article |
2015, Vol.37, No.5, pp. 595-600
Mathematical model in the form of vorticity-stream function for porous premixed combustion
Watit Pakdee, Nuttapong Utaivorawit, and Ahmed Kadhim Hussein
pp. 595 - 600
Abstract
This paper proposes a mathematical model used to numerically simulate behaviors of the two-dimensional laminar premixed combustion in porous media. The governing equations proposed include vorticity-stream function equations. This set of the governing equations is non-dimensionalized and numerically solved based on finite difference algorithm. The rectangular computational domain filled with saturated porous media is subjected to premixed reactant mixture coming into the domain from the lateral wall. The top and bottom walls are insulated. The computation is conducted for half of the domain based on a symmetrical boundary with appropriate flow and thermal conditions. The proposed mathematical model is successfully validated against the published work. The computed results agree reasonably well with the previous work. The model is able to correctly describe physical behaviors of a premixed combustion in which preheat, reaction and post combustion zone are included.