Stagnation point flow in nanofluids over a shrinking cylinder with slip effect and viscous dissipation

Abstract

This study investigates on the stagnation point flow and viscous dissipation over a slippery stretching/shrinking cylinder in copper nanofluid. A system of nonlinear partial differential equations is modeled and transformed into ordinary differential equations using similarity transformations. The governing equations with corresponding boundary conditions are analyzed numerically using a bvp4c in MATLAB. The solutions are found to be dependent on the governing parameters including shrinking parameter, slip parameter, curvature parameter and Prandtl number with copper nanoparticle. The results are shown in the velocity and temperature profiles as well as the skin friction coefficient and Nusselt number. Dual solutions are observed for the shrinking cylinder in the presence of Eckert number. The temperature decreases smoothly at the first solution, however the temperature increases at a certain point and then decreases as the slip parameter increases for the second solution.