The enhanced thermal ability of the nano particles and their acceptability have been the main initiation to this study. The present article investigates the magneto hydromagnetic effects on the flow of a water-based nano fluid comprising of copper \((\text{Cu})\) , silver \((\text{Ag})\) , and magnetite \(({\text{Fe}}_{3} {\text{O}}_{4} )\) nanoparticles. The research also considers the impact of radiation, Soret number, chemical reaction, porosity, and the particle volume fraction on the heat and mass transfer of the nanofluid flow. Implementing the similarity transformations, the system of partial differential equations which define the flow are converted into nondimensional equations and then solved using the FEM. FEM numerical technique used for this model is stable and convergent throughout all numerical computations. The magnetic effect is incorporated into the momentum equation, while nanoparticle effects are included in the energy and concentration equations under convective boundary conditions. The effects of various physical factors on temperature, concentration and velocity fields are analyzed graphically, while the skin friction coefficient and Nusselt number are computed and discussed. These findings are shown in the form of combined plots for the three nanoparticles as well as in tabulated form. The analysis shows that the radiation and Soret numbers of the individual nanoparticles have a strong influence on the results with radiation improving the thermal transport and a mass transfer by the temperature gradient is promoted by the Soret effect. The velocity of the liquid gets reduced with the intensity of the nanoparticle volume fraction while the liquid temperature is unaffected. The Fe3O4-Water nanofluid has the greatest velocity, followed by \(\text{{Cu}-Water}\) and \({\text{Ag-Water}}\) nanofluids. However, the temperature profiles do show an inverse trend. The study highlights the relevance of all three of the nanoparticles in each of the areas of medicine and biofriendly material engineering.
