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Correlation for Nusselt number in pure magnetic convection ferrofluid flow in a square cavity by a numerical investigation

Ashouri, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jmmm.2010.05.041
  3. Publisher: 2010
  4. Abstract:
  5. Magnetic convection heat transfer in a two-dimensional square cavity induced by magnetic field gradient is investigated numerically using a semi-implicit finite volume method. The side walls of the cavity are heated with different temperatures, the top and bottom walls are isolated, and a permanent magnet is located near the bottom wall. Thermal buoyancy-induced flow is neglected due to the nongravity condition on the plane of the cavity. Conditions for the different values of non-dimensional variables in a variety of ferrofluid properties and magnetic field parameters are studied. Based on this numerical analysis, a general correlation for the overall Nusselt number on the side walls is introduced for a wide range of effective parameters. Results showed that maximum error produced by use of this correlation is about 6 percent
  6. Keywords:
  7. Bottom wall ; Effective parameters ; Ferrofluid ; Ferrofluid flows ; General correlations ; Magnetic convection ; Magnetic field gradient ; Magnetic field parameter ; Maximum error ; Non-dimensional variable ; Numerical investigations ; Semi-implicit ; Side walls ; Square cavity ; Thermal buoyancy ; Magnetic fields ; Numerical analysis ; Nusselt number ; Wall flow ; Heat convection
  8. Source: Journal of Magnetism and Magnetic Materials ; Volume 322, Issue 22 , November , 2010 , Pages 3607-3613 ; 03048853 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0304885310003586