It is almost two centuries that we are using fossil fuels as our main energy source. Within the last fifty years, the consumption of fossil fuels, and consequently the pollution caused by the combustion process increased drastically which and led to serious environmental and health issues. Controlling these pollutants and reducing them is our only key to survival. The main goal of this thesis is to create a comprehensive 3D CFD model using the commercial software ANSYS FLUENT based on the available database of the University of Sidney on a bluff-body burner using CH4/H2 as fuel. The computed results have been compared with measured temperature, mean mixture fraction, and species mass fraction.