Numerical study of turbulent magnetohydrodynamic convection of molten sodium with variable properties in a square cavity

摘要

In this study, the finite volume method is used to simulate the turbulent natural convection in a square partitioned cavity. In this paper a fluid-flow with Pr = 0.01 and Ra = 106 and 107 in the presence of a magnetic field is investigated. The fluid properties are function of temperature. A parametric study is carried out using following parameters: non-dimensional different partition position from 0.2 to 0.6, non-dimensional different partition height from 0.1 to 0.4, and different Hartmann numbers from 0 to 200. It is found that Nusselt number is a decreasing function of partition height, Hp, and Hartmann number and the non-dimensional position of partitions, Dp, affects on streamlines and isotherms. It is observed that at Ra = 106 and Dp = 0.6 the Nusselt number is maximum and as Hartmann number increases the Nusselt number tends to a constant number. Also at Ra = 107 and Dp = 0.4 the variation of mean Nusselt number for different partition heights is more different than the other cases. Also the Nusselt number at Hp = 0.4 is nearly half for Dp = 0.4 in comparison with the other cases.