This research examines the appearance of a two‐dimensional steady flow movement of a viscous, incompressible fluid undergoing chemical reactions along an infinitely long vertical porous plate. The flow is influenced by a transverse magnetic field, with the plate experiencing a uniform suction velocity. The research novelty lies in inspecting the impacts of ohmic dissipation and diffusion‐thermo effects while maintaining constant heat and mass flux and considering heat and mass transfer in the presence of thermal radiation. Using perturbation techniques, the foremost calculations are solved, and the results are presented both graphically and in tables. The analysis shows that higher values of the diffusion‐thermo parameter upsurge fluid velocity and temperature, whereas the presence of the transverse magnetic field decreases fluid velocity and temperature.