Industrial furnaces that use liquid fuels like diesel and biodiesel blends encounter problems with controlling pollutant emissions and keeping combustion efficient. The impact of swirl number on liquid-fuel combustion in these systems is not as well understood as it is for gaseous fuels. This study examines the effects of swirl number and biodiesel percentage on combustion performance and emissions in a cylindrical furnace. It uses a method that combines computational fluid dynamics (CFD) and Artificial Bee Colony (ABC) optimization. A three-dimensional CFD model with the standard k–ε turbulence model and detailed NOx formation mechanisms was tested against existing experimental data. Simulations were done for different swirl numbers and biodiesel blend ratios. The results were analyzed using the ABC algorithm to determine the optimal operating conditions. The findings indicate that increasing swirl enhances fuel–air mixing and significantly lowers CO concentrations along the furnace axis, with reductions over 60 % near the burner. The formation of NOx is a more complex process. While higher swirl reduces early-stage NOx generation, it can increase late-stage formation near the walls due to better radial transport. The optimization process determined that a swirl number of 2.7 and a biodiesel content of 80 % provided the optimal balance between low CO emissions and acceptable NOx levels. These results offer valuable guidance for designing and operating liquid-fuel industrial furnaces that meet stringent emission standards while maintaining optimal efficiency.
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