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Non-Darcian effect on double-diffusive natural convection inside aninclined square Dupuit-Darcy porous cavity under a magnetic field

ABSTRACT
This paper presents a numerical study of a double diffusive convection in an inclined square porous cavity filled with an electrically conducting binary mixture. The upper and bottom walls are maintained at a constant temperatures and concentrations whereas the left and right walls are assumed to be adiabatic and impermeable. A uniform and tilted magnetic field is applied at an angle, γ, about the horizontal, it is obvious that this is related to the orientation of the magnetic force that can help or oppose the buoyant force. The Dupuit-Darcy flow model, which includes effects of the inertial parameter, with the Boussinesq approximation, energy and species transport equations are solved numerically using the classical finite difference method. Governing parameters of the problem under study are the thermal Rayleigh number, Rt, Hartmann number, Ha, Lewis number, Le, the buoyancy ratio, φ,inclination angle, Φ and tilting angle of the magnetic field, γ,. The numerical results are reported on the contours of streamline, temperature, and concentration and for the average Nusselt and Sherwood numbers for various parametric conditions. It is demonstrated that both the inertial effect parameter and the magnetic field, have a strong influence on the strength of the natural convection heat and mass transfer within the porous layer.
KEYWORDS
PAPER SUBMITTED: 2019-01-17
PAPER REVISED: 2019-05-03
PAPER ACCEPTED: 2019-05-21
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI190117271R
REFERENCES
  1. Beghein, C.,et al., Numerical Study of Double-Diffusive Natural Convection in a Square Cavity, Int. J. Heat Mass Tran.,35 (1992), 4, pp. 833-846
  2. Teamah, M. A., et al.,Numerical Simulation of Double-Diffusive Natural Convective Flow in an Inclined Rectangular Enclosure in the Presence of Magnetic Field and Heat Source, Int. J. Ther. Sci., 52 (2012), 4, pp. 161-175
  3. Marina S. A., et al., Effect of Thermal Radiation on Natural Convection in a Square Porous Cavity Filled with a Fluid of Temperature-Dependent Viscosity, Ther. Sci.,22(2018), 1B, pp. 391-399
  4. Sivanandam, S., et al., Natural Convection in an Inclined Porous Triangular Enclosure with Various Thermal Boundary Conditions,Ther. Sci., 23(2019), 2A, pp. 537-548
  5. Jana, S., et al.,A Numerical Simulation Study for the Czochralski Growth Process of Si Under Magnetic Field.Int. J.of Eng.Sci.,44 (2006), 8-9, pp. 554-573
  6. Mariani, V., Moura Belo, I., Numerical Studies of Natural Convection in a Square Enclosure, Ther. Eng.,5 (2006) 68-72
  7. Gobin, D., Bennacer, R., Cooperating Thermosolutal Convection in Enclosures II. Heat Transfer and Flow Structure, Int. J. Heat Mass Trans.,39 (1996), 13,pp. 2683-2697
  8. Hadidi, N.,et al., Bi-layered and Inclined Porous Collector: Optimum Heat and Mass Transfer, Energy.,51 (2013), pp. 422-430
  9. Hadidi, N., et al., Two-Dimensional Thermosolutal Natural Convective Heat and Mass Transfer in a Bi-Layered and Inclined Porous Enclosure,Energy.,93 (2015),pp. 2582-2592
  10. Rebhi, R., et al.,Form Drag Effect on the Onset of Non-Linear Convection and Hopf Bifurcation in Binary Fluid Saturating a Tall Porous Cavity,Int. J. Heat. Mass. Trans., 100 (2016),pp. 178-190
  11. Rebhi, R., et al.,Bistability and Hysteresis Induced by Form Drag in Nonlinear Subcritical and Supercritical Double-Diffusive Lapwood Convection in Shallow Porous Enclosures, J. Fluid. Mech.,812 (2017), pp. 463-500
  12. Corcione, M., et al., Correlations for the Double-Diffusive Natural Convection in Square Enclosures Induced by Opposite Temperature and Concentration Gradients, Int.J. Heat Mass Trans.,81 (2015), pp. 811-819
  13. Pirmohammadi, M., Ghassemi, M., Effect of Magnetic Field on Convection Heat Transfer Inside a Tilted Square Enclosure, Int. Comm. Heat Mass Trans.,36 (2009), 7, pp. 776-780
  14. Sivanandam, S., Marimuthu, B., Effect of Thermally Active Zones and Direction of Magnetic Field on Hydromagnetic Convection in an Enclosure, Ther. Sci., 15(2011),2, pp. S367-S382
  15. Sarris, I.E.,et al.,MHD Natural Convection in a Laterally and Volumetrically Heated Square Cavity, Int. J. Heat Mass Trans.,48 (2005), 16,pp. 3443-3453
  16. Costa, V. A. F.,et al., Natural Convection in Square Enclosures Filled with Fluid-Saturated Porous Media Under the Influence of the Magnetic Field Induced by Two Parallel Vertical Electric Currents, Int. J. Heat Mass Trans., 55 (2012), 23-24, pp. 7321-7329
  17. Grosan, T., et al., Magnetic Field and Internal Heat Generation Effects on the Free Convection in a Rectangular Cavity Filled with a Porous Medium, Int. J. Heat Mass Trans., 52 (2009), 5-6, pp. 1525-1533
  18. Revnic, C., et al.,Magnetic Field Effect on the Unsteady Free Convection Flow in a Square Cavity Filled with a Porous Medium with a Constant Heat Generation, Int. J. Heat Mass Trans.,54 (2011), 9-10,pp. 1734-1742
  19. Ergun, S., Fluid Flow Through Packed Columns,Chem. Eng. Prog., 48 (1952), pp. 89-94
  20. Saeid, N. H., Pop, I., Non-Darcy Natural Convection in a Square Cavity Filled with a Porous Medium, Fluid. Dynams. Res.,36 (2005), 1,pp. 35-43