Analytical approach for the effect of melting heat transfer on nanofluid heat transfer

In this article, the impact of melting heat transfer on nanofluid flow in the presence of Lorentz forces is reported. Different shapes of nanoparticles are considered. The impacts of Joule heating, viscous dissipation and thermal radiation are added in the governing equations. The Homotopy Analysis Method (HAM) is selected to solve Ordinary Differential Equations (ODEs). The roles of nanofluid volume fraction, shape of the nanoparticles, Hartmann number, porosity parameter, melting parameter, Eckert number are presented graphically. The results reveal that choosing a platelet shape leads to the maximum Nusselt number. The temperature reduces with the rise of the melting parameter but velocity increases with the increase of the melting parameter. Nu augments with the increase of the Lorentz forces while it reduces with the augment of porosity and melting parameters.