Investigation of non-Newtonian Fluid in the Unsteady Laminar Free Convective Flow by AGM Method

Abstract

In this research, the two-dimensional unsteady laminar free convective flow of a non-Newtonian fluid adjacent to a vertical plate with mass and heat transfer is investigated. The fundamental partial differential equations are reduced to the nonlinear ordinary differential equations which are solved using Akbari-Ganji's Method (AGM). Comparison between the Numerical Method (4th-5th -order Runge–Kutta–Fehlberg) and analytical conclusions of the issue, illustrates excellent complying in solving this nonlinear differential equation. As well as, in the present perusal, the influence the active parameters like: Schmidt number ,Prandtl number ,power law index ,Richardson number andbuoyancy ratio  on the dimensionless velocity, concentration and temperature profiles plus skin friction factor, Sherwood number and Nusselt number are examined. Conclusions indicates that power law index  has direct relationship with dimensionless concentration profiles, but buoyancy ratio  has reverse relationship with it. Also, by increasing of buoyancy ratio  the amount of the thermal boundary-layer decreases. In addition, this study shows AGM is strong manner to solve nonlinear differential equations.