Natural convection flow of a non-Newtonian nanofluid between two vertical flat plates

In this research, natural convection of a non-Newtonian copper-water nanofluid between two infinite parallel vertical flat plates is investigated. The basic partial differential equations are reduced to ordinary differential equations which are solved analytically using the differential transformation method. The results obtained using the differential transformation method and those from a numerical method are in good agreement which demonstrates the ability of the differential transformation method to solve such problems. It is shown that as the nanoparticle volume fraction increases, the momentum boundary layer thickness increases, whereas the thermal boundary layer thickness decreases.