Abstract

This study concerns a numerical investigation of a magnetohydrodynamic (MHD) natural convection of a Fe3O4–water nanofluid filled within a round diagonal corner square cavity. The cavity was subjected to imposed temperatures (hot and cold walls) and one magnetic source. The nanofluid flow and heat transfer problem was mathematically modeled and its dimensionless problem was established. The finite element method was implemented in order to solve the MHD problem. The effects of the Rayleigh number, Hartmann number and round corner radius on the nanofluid flow (streamlines and velocity magnitude) and heat transfer (isotherms and temperature distribution) were evaluated. Heat transfer was assessed when the convection or the conduction dominates with regard to the nature of the flow.

Highlights

  • Nanofluids [1,2,3,4] can be seen as nanometer-sized particles suspended in a fluid

  • The heat transfer of a nanofluid is all the more efficient as both its heat capacity and thermal conductivity were high, because the heat transfer between a wall and a fluid is carried via both conduction and convection

  • Some relevant and interesting numerical works have been carried out in the last three years in order to investigate the magnetohydrodynamic (MHD) natural convection within an enclosure filled with nanofluid

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Summary

Introduction

Nanofluids [1,2,3,4] can be seen as nanometer-sized particles (such as metal and crystalline materials) suspended in a fluid (such as water). Nanofluids benefit from both high energy storage per unit mass without considerable increase in temperature of the water, and high thermal conductivity of the metal material. The heat transfer of a nanofluid is all the more efficient as both its heat capacity and thermal conductivity were high, because the heat transfer between a wall and a fluid is carried via both conduction and convection. Some relevant and interesting numerical works have been carried out in the last three years in order to investigate the magnetohydrodynamic (MHD) natural convection within an enclosure filled with nanofluid. The effects of the Rayleigh number, the Hartmann number, the solid volume fraction and the aspect ratio of the enclosure on the nanofluid flow and heat transfer were assessed. Results showed that the average Nusslet number augmented by the increasing of the Rayleigh number, the solid volume fraction and the enclosure aspect ratio.

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