Abstract
Modeling and analysis of problems arising in nonlinear mechanical sciences is an emerging area where theoretical studies are worthwhile, Herein, MHD micropolar nanomaterial flow by the convectively heated rotatory disk is discussed. Besides, with heat and mass transfer, effects like thermophoresis and Brownian motion of nanoparticles are also discussed. The MATLAB routine bvp4c solver package has been used to obtain precise similarity results from coupled non-linear ordinary differential equations, which are obtained from governing non-linear partial differential equations via appropriate transformations. It is noticed that the magnetic field causes decay in velocity distribution while an increment is perceived for both concentration and the temperature fields. Higher data of Brownian movement and thermophoretic parameters are providing better heat transport rate while the effects of Nb are more significant as compared to Nt. The Brownian motion parameter Nb is causing a dropped behavior of concentration distribution while an opposite behavior is noted for the thermophoretic parameter although the Nt provides a more significant effect over Nb. An additional set of Graphs for velocities, microrotation, temperature and concentration profiles have been discussed the effects of several non-dimensional motivating parameters. A tabular form is being made to show the numerical simulations and local Nusselt numbers for various emerging parameters. The analysis through numerical computations is found extremely efficient and reliable for physical dynamical problems arising in fluid mechanics.