Authors : A.G. Madaki, R. Roslan, R. Kandasamy and I. Hashim
Abstract: 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.
A.G. Madaki, R. Roslan, R. Kandasamy and I. Hashim, 2017. Flow and Heat Transfer of Nanofluid over a Dynamic Stretching Sheet with Non-linear Velocity and Thermal Radiation. Journal of Engineering and Applied Sciences, 12: 5136-5146.