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A study of natural convection in anisotropic porous rectangular channels using a thermal non-equilibrium model

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A study of natural convection in a two dimensional rectangular channel filled with anisotropic porous media is considered, when the fluid and solid phases are not in local thermal equilibrium. Walls of the channel are non-uniformly heated to establish a linear temperature gradient and they are assumed to be impermeable and perfectly conducting. Darcy model with anisotropic permeability is used to describe the flow and a two field models are used for energy equation each representing fluid and solid phases separately. The critical Rayleigh number for the onset of convection using linear stability analysis is obtained numerically as a function of mechanical anisotropy parameters, interphase heat transfer coefficient and aspect ratio, and the same is plotted graphically, and discussed in detail.
Rocznik
Strony
5--16
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
  • Department of Mathematics Bangalore University Bangalore- 560 001, INDIA, drp_mb@yahoo.com
Bibliografia
  • Banu N. and Rees D.A.S. (2002): Onset of Darcy-Benard convection using a thermal non-equilibrium model. - Int. J. Heat Mass Transfer, vol.45, pp.2221-2228.
  • Baytas A.C. and Pop I. (2002): Free convection in a square porous cavity using a thermal non-equilibrium model. - Int. J. Therm. Sci, vol.41, pp.861-870.
  • Baytas A.C. (2003): Thermal non-equilibrium natural convection in a square enclosure filled with a heat-generating solid phase non-Darcy porous medium. - Int. J. Energy Res, vol.27, pp.975-988.
  • Beck L.J. (1972): Convection in a box of porous material saturated with fluid. - Phys Fluids., vol.15, pp.1377-1388.
  • Calmidi V.V. and Mahajan R.L (2000): Forced convection in high porosity foams Trans. - ASME J. Heat Transfer, vol.122, pp.557-565.
  • Hartline B.K. and Lister C.R.B. (1977): Thermal convection in a Hele-Shaw cell. - J. Fluid Mech., vol.79, pp.379-389.
  • Ingham D.B. and Pop I. (1998): Transport Phenomena in Porous Media. - Oxford: Pergamon.
  • Khalili A., Shivakumara I.S. and Huettel M. (2002): Effects of through flow and internal heat generation on convective stabilities in an anisotropic porous layer. - J. Porous Media, vol.5, pp.187-198.
  • Malashetty M.S., Shivakumara I.S. and Sridhar Kulkarni (2005): The onset of Lapwood-Brinkman convection using a thermal non-equilibrium model. - Int. J. Heat Mass Transfer, vol.48, pp.1155-1163.
  • Malashetty M.S., Shivakumara I.S. and Sridhar Kulkarni (2005): The onset of convection in an anisotropic porous layer using a thermal non-equilibrium model. - Transport in Porous Media, vol.60, pp.199-215.
  • Nield D.A. and Bejan A. (2006): Convection in Porous Media (3rd edn). - New York: Springer-Verlag.
  • Nield D.A. and Bejan A. (1999): Convection in Porous Media (2nd edn). - New York: Springer-Verlag.
  • Nield D.A.(1998): Effect of local thermal non-equilibrium in steady convective processes in a saturated porous medium: Forced convection in a channel. - J. Porous Media, vol.1, pp.181-186.
  • Nilsen T. and Storesletten L. (1990): An analytical study of natural convection in isotropic and anisotropic porous channels. - Trans. ASME J. Heat Transfer, vol.112, pp.396-401.
  • Rees D.A.S. and Pop I. (1999): Free convective stagnation point flow in a porous medium using a thermal non-equilibrium model. - Int. Communication Heat Mass Transfer, vol.26.pp.945-955.
  • Rees D.A.S. and Pop I. (2000): Vertical free convective boundary layer flow in a porous medium using a thermal non-equilibrium model. - J. Porous Media, vol.3, pp.31-44.
  • Rees D.A.S. and Pop I. (2002): Vertical free convective boundary layer flow in a porous medium using a thermal non-equilibrium model: elliptic effects. - J. Appl. Math. Phys. (ZAMP), vol.53, pp.1-12.
  • Saeid N.H. (2004): Analysis of mixed convection in a vertical porous layer using non-equilibrium model. - Int. J. Heat Mass Transfer, vol.47, pp.5619-5627.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0026-0001
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