The Dynamics of Water-Based Nanofluid Subject to the Nanoparticle's Radius with a Significant Magnetic Field: The Case of Rotating Micropolar Fluid

This article investigates the significance of varying radius of copper nanoparticles for non-Newtonian nanofluid flow due to an extending sheet in the presence of a magnetic field and porous medium. The modern technological applications of non-Newtonian nanofluids have attracted researchers in the current era. So, the impacts of the radius of nanoparticles with micropolar fluid have been taken into consideration. Three-dimensional leading equations (PDEs) for momentum, concentration, and temperature are transformed into ODEs by applying the appropriate similarity transformation. The numerical approach bvp4c is applied to obtain the problem's solution numerically. The influence of the nanoparticles' radius and various physical parameters on the microrotation, velocity, and temperature profile are analyzed. The velocity profile decreases against the magnetic field (M), rotational parameter (Gamma), and Forchheimer number (Fr), but the temperature distribution has increasing behavior for these parameters, and the microrotation is augmented for rising inputs of the magnetic parameter and boundary parameter (beta). It is also observed that the temperature reduces against the material parameter (del) and Forchheimer number (Fr). The skin friction coefficients and Nusselt number decrease against the growing strength of the Forchheimer number (Fr). At the stretching surface, the skin friction factor and Nusselt number are numerically and graphically calculated.