Effect of magnetic field on slip flow of nanofluid induced by a non-linear permeable stretching surface

• Nanofluid flow over a non-linear permeable stretching sheet is study.
• Thermophoresis effect and Brownian motion with slip effects are considered.
• Lewis number decreases the nanoparticle concentration across the boundary layer region.
• Thermophoresis in the flow field raises both the temperature and nanoparticle concentration.

In this effort the influence of magnetic field on boundary layer nanofluid flow induced by a non-linear permeable stretching sheet has been explored. The flow is happening due to stretching surface along with slip conditions in boundary layer. The governing equations are solved numerically by means of a robust programming MAPLE-17 which includes RK-4 method accompanied by shooting criteria. The impact of appropriate factors on flow are deliberated and physical characteristics of the flow are exhibited through graphs and tables and discussed from the reasonable judgment. Our analysis conveys that the reduced Nusselt number amplifies as the thermophoresis parameter and Brownian motion parameter enhances. On the other hand, it is perceived that thermal boundary layer thickness moderates with the growth of thermal slip parameter. Moreover, it is thought-provoking to find that the concentration distribution declines as the Lewis number escalates. To sum up, the verdict of the current study is that the proficiency of a thermal system can be enriched by scheming the strength of applied magnetic field as well as by electing the applicable values of the physical parameters.