The present communication develops the governing expressions that describe a steady incompressible twodimensional
flow of micropolar Ferrosoferric Oxide fluid towards a stretched surface under the impact of
Lorentz force (magnetic field). Ferrofluids are made out of nanoscale ferromagnetic materials suspended in a
base fluid (oil, kerosene, water). The distinction between the magnetorheological fluids (MRF) and ferrofluids
(FF) is the size of the materials. The materials in a ferrofluid fundamentally comprise of nanomaterials, which
are suspended by Brownian diffusion and generally under normal conditions will not settle. Here, Ferrosoferric
Oxide (Fe3O4) is considered as nanoparticle and water as a base fluid. The governing equations are modeled
by using Tiwari-Das nanofluid model with the help of appropriate similarity transformations. Furthermore, radiative
heat flux and convective boundary condition is accounted. The numerical results of the governing equations
are obtained through implementation of Built-in-Shooting technique. The impact of radiation parameter,
stretching ratio parameter, magnetic parameter, thermal Biot number, micro-rotation parameter, velocity slip
parameter and Darcy-Forchheimer number on the flow velocity and temperature are revealed graphically and
discussed. The engineering curiosity like skin friction and Nusselt number are computationally computed and
tabulated.