الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
In this thesis a general mathematical model , for the prediction of the magneto-hydrodynamic behavior in aluminium reduction cells, is presented . The newly developed model is based on the two-phase flow theory with interphase-slip. The first phase is the molten cryolite that flow on top due to its lighter desity , the second phase is the molten aluminium that flows in the bottom in view of its higher density . The two layers are flowing in a stratified manner. B ased on the shallowness of the layers and by introducing an order of magnitude analysis, attention has been focused on average velocities in a horizontal mid plane, and the effect of turbulence as well as inertia forces were neglected in comparision with Lorentz force. The resulting coupled equations for the two phases were found to be linear which simplified their solution by a standered finite difference algorithm.
Verification of the solution algorithem was established by setting by setting comparisons with available closed form solution in the literature, and grid independence tests has been conduced to assess the accuracy of calculations.
Furthermore, the physical realism of the model has been assessed with comparison of other prediction , obtained using sufisticated programs that embodied the full equations( i.e ineria terms and turbulence effects via turbulence modeling ). The results of the comparison has proven the predictive of novel model , and indicated that the present algorithm has introduced a substantial in computer time, that reached in some cases nearly 98 percent of the required computing time of some computer programs lick Teach and 2/E/Fix of Imperial College , devoted for the solution of elliptic flows.
It may be concluded , that the newly developed technique represents a step forward for the solution of the magneto-hydrodynamics in the hall-heroult cells, that is characterized by its simple concise equations that has been arrived at based on conceptual and physical modeling.