Nanoparticle transportation through a permeable duct with Joule heating influence

Nanofluid radiation in a semi permeable duct is analyzed in existence of Lorentz forces. Lorentz forces impact on energy equation are involved. Last ODEs were solved via RK4 approach. Effects of suction, radiation, Eckert, Hartmann numbers on flow, heat and mass transfer have been described. Outputs reveal that as Ha augments, vertical velocity reduces but temperature enhances. Concentration of nanofluid reduces with augment of magnetic force.