TY - JOUR T1 - Flow and Heat Transfer of Nanofluid over a Dynamic Stretching Sheet with Non-linear Velocity and Thermal Radiation AU - Roslan, R. AU - Madaki, A.G. AU - Kandasamy, R. AU - Hashim, I. JO - Journal of Engineering and Applied Sciences VL - 12 IS - 20 SP - 5136 EP - 5146 PY - 2017 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2017.5136.5146 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2017.5136.5146 KW - Nanofluid KW -variable thickness KW -thermal radiation KW -non-linear equations KW -Optimal Homotopy Asymptotic Method (OHAM) KW -Runge-Kutta method AB - This study has focused on the development of the mathematical model of the nonlinear differential equations with both Brownian motion and thermal radiation being present. The similarity variables were used to transform the nonlinear governing boundary layer equations into ordinary differential equations. The solutions to this problem were derived by using the Optimal Homotopy Asymptotic Method (OHAM) in which the Runge-Kutta fourth order method with shooting technique was also used to validate the accuracy of our results. In relation to the pertinent parameters on the velocity, temperature and concentration profiles such as Brownian, thermophoresis, magnetic, shape, heat source and thermal radiation parameters have all been studied and details are given in both tables and graphs, respectively. The results obtained are fascinatingly agreed with the numerical solutions along with the previously published study. ER -