Convective heat and solute transfer in Newtonian fluid saturated inclined porous cavity

  • Authors

    • Latreche Abdelkrim universite constantine1
    • Djezzar Mahfoud universite constantine1
    2014-09-16
    https://doi.org/10.14419/ijpr.v2i2.3372
  • Abstract

    This paper summarizes a numerical study of double-diffusive natural convection in square inclined cavity filled with fluid saturated porous media. Transverse gradients of heat and solute are applied on the two horizontal walls of the cavity, while the other two walls are impermeable and adiabatic. The Darcy model with the Boussinesq approximation is used to solve the governing equations. The flow is driven by a combined buoyancy effect due to both temperature and concentration variations. A finite volume approach has been used to solve the non-dimensional governing equations. The results are presented in streamline, isothermal, iso-concentration, Nusselt and Sherwood contours for different values of the non-dimensional governing parameters.

    Keywords: Boussinesq Approximation, Darcy Model, Finite Volumes, Inclined Cavity, Natural Convection, Porous Media.

  • References

    1. D. Nield, and A. Bejan, Convection in Porous Media, 2nd ed. Spinger-Verlang, New York Inc. 1999. http://dx.doi.org/10.1007/978-1-4757-3033-3.
    2. D. B. Ingham, and I. pop, Transport phenomena in porous media, 2nd ed. Pergamon, Amsterdam, 2002.
    3. V. Trevisan, A. Bejan, Mass and heat transfer by high Rayleigh number convection in a porous medium heated from below, Int. J. Heat Mass Transfer, vol. 30, 2341–2356. 1987. http://dx.doi.org/10.1016/0017-9310 (87)90226-2.
    4. M. Mamou, P. Vasseur, Thermosolutal bifurcation phenomena in porous enclosures subject to vertical temperature and concentration gradients, J. Fluid Mech. 395, 61–87. 1999. http://dx.doi.org/10.1017/S0022112099005753.
    5. M. Bourich, M. Hasnaoui, A. Amahmid, Double-diffusive natural convection in a porous enclosure partially heated from below and differentially salted, Int. J. Heat Fluid Flow 25, 1034–1046. 2004. http://dx.doi.org/10.1016/j.ijheatfluidflow.2004.01.003.
    6. M. Bourich, A. Amahmid, M. Hasnaoui, Double diffusive convection in a porous enclosure submitted to cross gradients of temperature and concentration, Energy Conversion and Management 45, 1655–1670. 2004. http://dx.doi.org/10.1016/j.enconman.2003.10.003.
    7. AA. Mohamad, R. Bennacer Natural convection in a confined saturated porous medium with horizontal temperature and vertical solutal gradients. Int J Thermal Sci 40:82–93, 2001. http://dx.doi.org/10.1016/S1290-0729 (00)01182-0.
    8. Mahidjiba, M. Mamou, P. Vasseur, Onset of double-diffusive convection in a rectangular porous cavity subject to mixed boundary conditions, Int. J. Heat Mass Transfer, vol. 43, pp. 1505–1522, 2000. http://dx.doi.org/10.1016/S0017-9310 (99)00238-0.
    9. L. Kalla, P. Vasseur, R. Benacer, H. Beji, R. Duval, Double diffusive convection within a horizontal porous layer salted from the bottom and heated horizontally. Int. Comm. Heat MassTransfer 28, 1–10. 2001. http://dx.doi.org/10.1016/S0735-1933 (01)00207-X.
    10. V.A.F. Costa, Double-diffusive natural convection in parallelogrammic enclosures filled with fluid-saturated porous media, Int. J. Heat Mass Transfer, vol. 47, pp. 2699–2714, 2004. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2003.11.031.
    11. Patankar S., Numerical Heat Transfer and Fluid flow, Hemisphere, New York, 1980.
  • Downloads

  • How to Cite

    Abdelkrim, L., & Mahfoud, D. (2014). Convective heat and solute transfer in Newtonian fluid saturated inclined porous cavity. International Journal of Physical Research, 2(2), 78-84. https://doi.org/10.14419/ijpr.v2i2.3372

    Received date: 2014-08-14

    Accepted date: 2014-09-14

    Published date: 2014-09-16