In the current paper, we illustrate a numerical simulation of the non-premixed combustion in a cylindrical combustor fueled by Methane and/or Hydrogen. The aerothemochemical parameters evolutions that characterize the reacting flow are attested for different fuel compositions in the combustor. For this, the exergy loss and its functional efficiency are applied for all considered fuels to distinguish the optimum reactive mixture composition for economic combustion. Consequently, the calculations are carried out by both computational software FLUENT code package and the Cycle-Tempo Release. Then, the results proved that the hydrogen injection has an effect on all considered physic-chemical variables. (c) 2022 Elsevier Ltd. All rights reserved. Selection and peer-review under responsibility of the scientific committee of the First Maghrebian Conference for Renewable Energies and their applications.