3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation

This paper mainly focuses on the influence of transverse magnetic field as well as thermal radiation on three-dimensional free convective flow of nanofluid over a linear stretching sheet. One remarkable aspect of this study is that a new micro-convection model namely Patel model has been introduced in view of enhancement of thermal conductivity and hence more heat transfer capability of nanofluid. The non-linear partial differential equations have been converted into strong non-linear ordinary differential equations by employing suitable transformations and these transformed equations are solved by Runga-Kutta method of fourth order along with Shooting technique as well as Secant method for better approximation. From this study, it is found that the presence of magnetic field slows down the fluid motion while it enhances the fluid temperature leading to a reduction in heat transfer rate from the surface. It is also found that enhancing thermal radiation parameter causes a reduction in heat transfer rate. Fig. 1. Schematic representation of three dimensional permeable stretching sheet under the effects of transverse magnetic field. [Display omitted] •This paper investigates the 3D steady flow of nanofluids through permeable stretching sheet.•This model is applicable in controlling the cooling rate which is imperative for many process industries.•Velocity profile enhances and temperature profile reduces with increasing the buoyancy effects.•Thermal boundary layer thickness elaborates for high value of radiation parameter and Peclet number.•Isotherms converge to the origin for all values of nanoparticle volume fraction.