Nonlinear dynamical phenomenon in combustion processes is an active area of experimental and theoretical research. This is in large part due to increasingly strict environmental pressures to make gas turbine engines and industrial burners more efficient. Using numerical methods, this study examines chaotic dynamics in an axisymmetric swirling flow leading to enhanced mixing with vortex breakdown. The incompressible reactive Navier-Stokes equations in terms of stream function, vorticity, circulation are used. Results, details of the numerical algorithms, as well as numerical verification techniques and validation with sources from the literature is presented. Understanding of how instabilities are affected by modeling reactant consumption is the main goal of this study.

combustion, vortex breakdown, chaos.