Magnetic field effect on second order slip flow of nanofluid over a stretching/shrinking sheet with thermal radiation effect

• Published in: Journal of magnetism and magnetic materials 2015-05, Vol.381, p.243-257
• Main Authors: Abdul Hakeem, A.K., Vishnu Ganesh, N., Ganga, B.
• Format: Article
• Language: English
• Subjects: Computational fluid dynamics; Fluid flow; Magnetic field; Magnetic fields; Mathematical analysis; Mathematical models; Nanofluid; Nanofluids; Nanostructure; Second order slip; Stretching; Stretching/Shrinking sheet; Thermal radiation; Titanium dioxide
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2014.12.010

The magnetic field effect on a steady two dimensional laminar radiative flow of an incompressible viscous water based nanofluid over a stretching/shrinking sheet with second order slip boundary condition is investigated both analytically and numerically. The governing partial differential equations are reduced to nonlinear ordinary differential equations by means of Lie symmetry group transformations. The dimensionless governing equations for this investigation are solved analytically using hyper-geometric function and numerically by the fourth order Runge–Kutta method with the shooting technique. A unique exact solution exists for momentum equation in stretching sheet case and dual solutions are obtained for shrinking sheet case which has upper and lower branches. It is found that the lower branch solution vanishes in the presence of higher magnetic field. The velocity and temperature profiles, the local skin friction coefficient and the reduced Nusselt number are examined and discussed for different spherical nanoparticles such as Au, Ag, Cu, Al, Al2O3 and TiO2. A comparative study between the previously published results and the present analytical and numerical results for a special case is found to be in good agreement. [Display omitted] •The effect of magnetic field on second order slip flow model is investigated for different nanofluids.•Dual solutions are obtained for shrinking sheet which are called upper and lower branch solutions.•It is found that the lower branch solution vanishes in the presence of higher magnetic field.•Scaling group transformations are used in this study.•Both analytical and numerical investigations are carried out in the present study.