A comparative description on time-dependent rotating magnetic transport of a water base liquid H2O with hybrid nano-materials Al2O3-Cu and Al2O3-TiO2 over an extending sheet using Buongiorno model: Finite element approach

In the present study, we investigate a comparative study of MHD rotational flow of hybrid-nanofluids (Al2O3-Cu/water and Al2O3-TiO2/water) over a horizontally elongated plane sheet. The principal objective is concerned with the enhancement of thermal transportation. The novelties of the present-study are (i) a comparative study of two hybrid nanofluids with hybrid-base fluid and different shape factors, (ii) the Tiwari and Das nanofluid model is implemented together with Buongiorno nanofluid model, and (iii) the finite element approach for this elaborated problem. The three-dimensional conservation equations for mass, momentum, energy, and species (nanoparticle) diffusion, are normalized into a system of two-dimensional dimensionless boundary layer equations, using appropriate scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled non-linear partial differential problem. A detailed evaluation of the effects of the governing physical parameters on the velocity components, temperature, and nanoparticle concentration via graphical plots is conducted. Both the primary and secondary velocities are smaller in values for hybrid-phase Al2O3-Cu than that of hybrid-phase Al2O3-TiO2, but the temperature and nanoparticles concentration distribution is higher for the hybrid-phase Al2O3-Cu. It is observed that higher inputs of the parameters for thermophoresis, Brownian motion, shape factors, and volume fraction of phi(2) made significant improvements in the temperature. The varying patterns of skin friction coefficients (x, y-directions), Nusselt number, and Sherwood number are computed to reveal the physical nature of this study. The present findings manifest a reasonable comparison to their existing counterparts.