Homotopy Analysis of an Unsteady Flow Heat Transfer of a Jeffrey Nanofluid Over a Radially Stretching Convective Surface

An analysis is carried out to study the influence of thermal radiation on the unsteady MHD flow, heat and mass transfer on a radially stretching sheet immersed in a chemically reactive Jeffrey nanofluid. Using Homotopy Analysis Method (HAM) analytical solutions are obtained for the flow variables. The h-curves for the velocity, temperature and nano particle volume fraction are plotted. Residual error is calculated to carry out the error analysis. The study indicates that Deborah number enhances the velocity as well as the thickness of the momentum boundary layer while magnetic field has an opposite effect. The effect of Brownian motion and thermophoresis is observed to rise the temperature distribution. Convective heat transfer has also an increasing influence on temperature. Nano particle concentration is found to be enhanced by mass transfer Biot number. The surface drag coefficient is decreased by Lorentz force and Deborah number while ratio of relaxation and retardation times has a reversal effect. Brownian motion of the nano particles has an increasing effect on rate of heat transfer. Sherwood number is increased by solutal Biot number.