Numerical analysis of entropy generation in viscous nanofluid stretched flow

Main objective for this study is to examine a MHD (magnetohydrodynamic) flow of viscous nanomaterial over a stretchable plate. Entropy generation is evaluated for considered flow. Joule and frictional heating are considered. By appropriate non-dimensional variables the governing PDE's systems are reduced into dimensionless form. Obtained dimensionless PDE's system is solved through numerical method (i.e finite difference method). Variations of Sherwood number, velocity, entropy generation, temperature, rescaled volume fraction, Nusselt number, skin friction and Bejan number are analyzed. Flow variables effects for Reynolds number, Brownian motion parameter, Schmidt number, Hartmann number and thermophoresis parameter are highlighted. Here we concluded that velocity is decreased for higher Hartmann number and reverse holds for Reynolds number. Temperature is increased for larger Brownian and thermophoresis parameters. Rescaled volume fraction is increased by Brownian parameter and Schmidt number while it decreased with thermophoresis parameter. Bejan number and entropy have opposite behaviors for diffusion parameter, volume fraction ratio parameter, temperature ratio parameter, Eckert and Hartmann numbers. The suggested model is relevant for heat exchangers optimization, two-phase flows, fuel cells, polymers, transportation, biomedicine and geothermal energy system.