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Received: 12 July 2019 Accepted: 21 November 2019 I demonstrated numerically the natural convective heat transfer between inner heated circular cylinder located within cooled elliptical enclosure filled with copper-water nanofluid with internal heat generation/absorption in the presence of horizontal magnetic field. The dimensionless governing equations are solved numerically using finite element scheme. The considered parameters of this study Rayleigh number (103<Ra<107), Hartmann number (0<Ha<60), nanofluid volume fraction (0<φ<0.06), heat generation/absorption (-10<q<+10) and the horizontal position of the inner circular cylinder (-0.2≤δ≤+0.2). The results show that increasing Rayleigh number and nanofluid volume fraction increases the fluid flow strength and heat transfer rate. While Hartmann number increasing leads to reduce the Nusselt number. It is obtained also, that absorption of heat augments the heat transfer. Finally, it is found that when the circular cylinder moves into the left side, a better heat transfer will be obtained while it is recommended to move the inner cylinder into right for better fluid flow strength

mathematical modelling and engineering problems/mathematical modelling of engineering problems

On Simulation of the Natural Convection Heat Transfer Between Circular Cylinder and an Elliptical Enclosure Filled with Nanofluid [Part I: The Effect of MHD and Internal Heat Generation/Absorption]