•The reaction networks of the ODS of DBT which were enhanced by Fenton process proceeded a pseud-first order model with over 79% of removal efficiency.•As it was expected stronger agitation speeds correspond to rooted vortexes and so paramount interfacial area, while finer droplets were generated between 70–95 °C and Fenton reagents molar ratio of 0.03.•The aforementioned approach led to reduction of sulfur content of understudy fuel from more than 650 ppm and less than 800, 185.7 ppm during 62 min of oxidative reaction. In this study desulfurization has been surveyed with particular attention to the effect of temperature, Fe+2/H2O2 molar ratio, residence time, fluid viscosity and agitation speed. Demonstration of factors' effects approved via ANVOVA by Taguchi experimental design and printed a vital effect of temperature and oil volume fraction as the most two considerable parameters with contribution percent of 92.5% and 87.5%, respectively. The aforementioned approach led to reduction of sulfur content of understudy fuel from 650 to 800 ppm to 185.7 ppm during 45 min of oxidative reaction. The sulfur removal efficiency predicted by the software was 86.47% and the value from the experiment was 89.39% while it was arranged based on the severity index for more accuracy of results. As a result removal efficiency with Fenton reactions as a strong economic process under a pseudo-first order kinetics model was approved.