In this paper a 3-D mathematical model has been attempted with a view to im
proving the cell efficiency in the Hall-Heroult process of aluminium smelti
ng. It this regard magnetohydrodynamics (MHD) play important role and so fa
r in the literature a derailed mathematical model taking into account all t
he electromagnetic parameters is not available. Electrical potential. curre
nt density. magnetic flux density and MHD force fields including interfacia
l phenomena between electrodes/electrolyte and electrolyte/molten aluminium
have, thus, been incorporated in derivation of proposed model.