Similarity analysis was created to study the properties of heat and mass transfer of ferrohydrodynamic (FHD) of steady nanofluid flow incorporating magnetite (Fe3O4) nanoparticles. A variable magnetic source is located at the end of a vertical plate immersed in the fluid which is responsible for generating the magnetic field affecting the FHD flow. The group method was employed to remodel the governing system into an ordinary differential equation system. The recent research was inspired by examining the effect of three parameters, including the volume fraction of nanoparticles ϕ, the magnetic field strength of the source γ, and the ambient temperature difference ratio〖 γ〗_T. The results showed that both velocity components decrease inside the boundary layer when ϕ and γ_T increase and slightly increase when γ values increase. The shear stress and temperature distribution of the fluid inside the layer decrease when ϕ increases while both increase when the other parameters increase. On the other hand, the heat flux increases only when ϕ values increase.