Magnetite and cobalt ferrite (CoFe2O4) nanoparticles are frequently utilized in several applications, including magnetic drug delivery, hyperthermia, magnetic resonance imaging, etc. In the current investigation, the magnetohydrodynamic three-dimensional heat transfer (HT) flow induced by a non-Newtonian Eyring–Powell fluid is incorporated by a carrier sodium alginate (NAC6H7O6)-based CoFe2O4 nanoparticles over a deformable (stretching/shrinking) horizontal plane surface with orthogonal shear stress and power-law velocity. The HT analysis along with the substantial effect of irregular heat source/sink as well as entropy generation is also performed. The similarity variables altered the posited leading equations into ordinary differential (similarity) equations. The function bvp4c in Matlab is then used to solve these equations numerically for various parameter values. Results indicate that, in general, there are two alternative solutions for the phenomenon of suction and deformable parameters. In addition, the essential thermal evaluation is enhanced owing to the significance of CoFe2O4 nanoparticles, magnetic parameter, and irregular heat source/sink.