Combustion is a process wich is present in almost all social sectors, since 85 percent of the energy consumed by humans is generated by this process. Although it brings multiple benefits to mankind, combustion also brings environmental pollution due to the release of gases such as soot. The study of combustion and computational modeling can help reduce the emission of pollutant gases, and therefore, it is aimed to study the non-premixed combustion in laminar flows of methane and ethylene using OpenFOAM. The flame studied is the one that can be stabilized in a Gülder burner. For computational modeling, the detailed chemical kinetics GRI description, two computational domains, two meshes, different flow velocities for the fuel and different simulation configurations (serial and parallel) are used. In total, 4 different cases of combustion were studied. As result, the temperature and velocity profiles along the flow, the mass fraction of chemical species, the velocity and temperature profile along the flame were obtained. Finally, the profiles obtained for each case are compared.