Paper Title
Stagnation Point Flow and Heat Transfer in Nanofluids Over a Stretching/Shrinking Cylinder with Slip Effect and Stability Analysis

Abstract
An analysis is performed on steady two-dimensional stagnation-point flow of nanofluids over a stretching/shrinking cylinder in the presence of slip effect. The partial differential equations were converted into ordinary differential equations using appropriate similarity transformations and then solved numerically using bvp4c code in Matlab software. The numerical results are presented in tables and graphs for the skin friction coefficient and the local Nusselt number as well as the velocity and the temperature profile for slip parameter and three different nanoparticles namely copper, alumina and titania. The results indicate that copper has the highest surface shear stress and heat transfer rate. The effect of slip at the boundary caused to decrease the surface shear stress but increase heat transfer rate at the surface. the skin friction coefficient and local Nusselt number increased linearly with an increasing of nanoparticle volume fraction. The stability analysis is performed since the results obtained in dual. This is the method to validate either first or second solution is a stable solution. Index Terms - Stagnation point flow, nanofluids, stretching/shrinking cylinder, slip effect, stability analysis