Radiative nanofluid flow and heat transfer over a non-linear permeable sheet with slip conditions and variable magnetic field: Dual solutions

This paper addresses numerical investigation of steady, magneto-hydrodynamic boundary-layer slip flow of a nanofluid past a permeable stretching/shrinking sheet with thermal radiation using RKF45 with shooting technique. The effect of viscous dissipation, suction/injection, Brownian motion, thermophoresis, partial velocity slip and thermal slip is taken into account and controlled by the non-dimensional parameters. The dual solutions are obtained for the skin friction, Nusselt number, temperature and nanoparticle volume fraction with pertinent parameters in the domain χc,∞ and sc,∞. The study shows that the Nusselt number decreases with an increase in thermophoresis parameter Nt and thermal slip parameter δ but increases with thermal radiation R and Prandtl number Pr. The present problem has numerous applications in engineering and petroleum industries such as glass blowing, annealing and thinning of copper wires. The study of radiation heat transfer plays an important role in the industrial applications at high temperature.