کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1707023 | 1012494 | 2009 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell](/preview/png/1707023.png)
A system of partial differential equations describing the thermal behavior of aluminium cell coupled with magnetohydrodynamic effects is numerically solved. The thermal model is considered as a two-phases Stefan problem which consists of a non-linear convection–diffusion heat equation with Joule effect as a source. The magnetohydrodynamic fields are governed by Navier–Stokes and by static Maxwell equations. A pseudo-evolutionary scheme (Chernoff) is used to obtain the stationary solution giving the temperature and the frozen layer profile for the simulation of the ledges in the cell. A numerical approximation using a finite element method is formulated to obtain the fluid velocity, electrical potential, magnetic induction and temperature. An iterative algorithm and 3-D numerical results are presented.
Journal: Applied Mathematical Modelling - Volume 33, Issue 3, March 2009, Pages 1479–1492