Unsteady ohmic dissipative flow of ZnO-SAE50 nanofluid past a permeable shrinking cylinder.

The laminar boundary layer flow of a Zinc Oxide-Society of Automotive Engineers 50 alias nano-lubricant (ZnO-SAE50) past a permeable shrinking cylinder is investigated. The flow is unsteady, incompressible, and ohmic dissipative. A governing model has been achieved for the flow and heat transfer by using conservation laws related to mass, momentum, and energy. Governing system of PDEs (partial differential equations) is solved to a nonlinear system of ODEs (ordinary differential equations) which is later on solved with the help of the Shooting method and RK-Fehlberg duos. Plots are shown for both velocity and temperature profiles, to display the impacts of involved dimensionless parameters. Additionally, graphs for Nusselt Number have also been represented which shows the local rate of heat transfer. It is examined that the ohmic dissipation as well as the volumetric ratio of the nanoparticles greatly influence the overall thermal performance of the system. .