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Zbl 1217.80084
Revnic, C.; Grosan, T.; Pop, I.; Ingham, D.B.
Magnetic field effect on the unsteady free convection flow in a square cavity filled with a porous medium with a constant heat generation.
(English)
[J] Int. J. Heat Mass Transfer 54, No. 9-10, 1734-1742 (2011). ISSN 0017-9310

Summary: The effects of an inclined magnetic field and heat generation on unsteady free convection within a square cavity filled with a fluid-saturated porous medium have been investigated numerically. The top and bottom horizontal walls of the enclosure are adiabatic whereas the vertical walls are kept at constant but different temperatures. The physical problems are represented mathematically by a set of partial differential equations along with the corresponding boundary conditions. By using an implicit finite-difference scheme, namely the ADI method (alternative direction implicit), the non-dimensional governing equations are numerically solved. The influential parameters are the Rayleigh number $Ra$, the inclination angle $\gamma$ of the magnetic field relative to the gravity vector g, the Hartmann number $Ha$ and the heat generation parameter $Q$. In the present study, the obtained results are presented in terms of streamlines, isotherms and average Nusselt number along the hot wall. The result shows that with increasing $Ha$, the diffusive heat transfer become prominent even though the Rayleigh number increases.
MSC 2000:
*80A20 Heat and mass transfer
76R10 Free convection
76S05 Flows in porous media
76W05 Flows in presence of electromagnetic forces
80M20 Finite difference methods
76M20 Finite difference methods

Keywords: cavity; unsteady free convection; magneto-hydrodynamics; numerical results

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