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A new wave equation for MHD instabilities in aluminum reduction cells

Kadkhodabeigi, M ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. Publisher: 2007
  3. Abstract:
  4. To overcome the problem of magneto hydrodynamic instabilities at the aluminum-cryolite interface in aluminum reduction cells, the use of a simple and efficient model has been suggested. In this paper a new model for evaluation of magneto hydrodynamic instabilities in aluminum reduction cells is proposed. This model is in the form of a wave equation for interfacial oscillations and is constructed based on Shallow Water approximation and linear stability analysis. In this model two terms for linear friction in each molten layer of aluminum and cryolite has been considered and also Lorentz forces in cryolite layer have not been neglected. By accounting of these additional terms in our model, the results are in good agreement with the results of numerical simulations of viscous flow and previous nonlinear models of aluminum reduction cell
  5. Keywords:
  6. Aluminum ; Electric batteries ; Linear stability analysis ; Magnetohydrodynamics ; Problem solving ; Reduction ; Aluminum reduction cell ; MHD instabilities ; Mathematical models
  7. Source: TMS 2007 Annual Meeting and Exhibition, Orlando, FL, 25 February 2007 through 1 March 2007 ; 2007 , Pages 345-349 ; 01470809 (ISSN) ; 0873396596 (ISBN); 9780873396592 (ISBN)
  8. URL: https://www.cfd.com.au/cfd_conf06/PDFs/177Kad.pdf