Transient natural convection in a vertical cylinder opened at the extremities and filled with a fluid saturated porous medium: validity of Darcy flow model and thermal boundary layer approximations

Slimi, Khalifa; Nasrallah, Sassi Ben; Fohr, Jean‐Paul

doi:10.1016/s0017-9310(97)00155-5

Cited by 13 publications

(3 citation statements)

References 27 publications

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“…where a local non-equilibrium reigns between both phases (Mohamad, 2001, Slimi and BenNasrallah, 1997, Zhang et al, 2009). Mohamad (2000) studied the validity of the equilibrium model for natural convection in an enclosure filled with a saturated porous medium.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Convective Heat Transfer in a Vertical Porous Channel Using a Non-Equilibrium Model

et al. 2012

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Numerical and experimental study of convective heat transfer in a vertical porous channel using a non-equilibrium model. Abstract Convective heat transfer in a vertical porous channel heated by the wall and isolated on the other face was simulated numerically and experimentally. The porous medium is formed by a solid matrix of spherical beads. The considered fluid is air that saturates the solid matrix. The two-temperature model and the Darcy-Brinkman-Forchheimer equation are adopted to represent this system and the porosity is considered as variable in the domain. The numerical model was used to analyze the effect of several operating parameters on heat transfer enhancement. Heat transfer decreases with the increase of the form factor. When Biot number increases, heat transfer between the heated wall and the porous domain is increased. Heat transfer increases with Reynolds 1 number and with the thermal conductivity of the solid matrix. The influence of the thermal conductivity of the particles on heat transfer in the porous medium decreases with increase of the thermal conductivity of the metallic beads, principally when the diameter of the beads increases. An increase of the bead diameter induces a decrease of heat transfer. Nusselt numbers based on the particle diameter have been correlated with respect to Reynolds number and the particle diameter. Furthermore, simulation results have been validated by experiments.

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Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Convective Heat Transfer in a Vertical Porous Channel Using a Non-Equilibrium Model

et al. 2012

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“…The calculated heat transfer coefficient is around: h = 5 W m −2 K −1 . This value is neatly lower to the value used by [4,14]. The Biot number Bio = hH /λ eff relative to the thermal exchange between the upper surface of the medium and ambient air is 2000.…”

Section: Thermal Behaviour Of the System And Modeling As First Ordermentioning

confidence: 74%

“…The case of an open system is rarely studied in natural convection. Bennasrallah et al [4]; Slimi and Bennasrallah [14] have studied numerically unsteady natural convection in a cylinder filled with particles, open at its extremities and with its wall heated by a constant heat flux. In both works, the heat exchange coefficient, concerning the exchanges between the porous medium and environment has been imposed by the choice of a Biot number Bio = H h/λ eff defined as the ratio of the product of the transfer coefficient by the medium height over the effective conductivity of the porous medium.…”

Section: Nomenclaturementioning

confidence: 99%

Experimental study of the dynamic behaviour of a porous medium submitted to a wall heat flux in view of thermal energy storage by sensible heat

Dhifaoui

Jabrallah

Belghith

et al. 2007

International Journal of Thermal Sciences

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Natural Convection Gas Transport in Porous Media

Khanafer

Vafai

Gas Transport in Porous Media

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Transient natural convection in a vertical cylinder opened at the extremities and filled with a fluid saturated porous medium: validity of Darcy flow model and thermal boundary layer approximations

Cited by 13 publications

References 27 publications

Numerical and Experimental Study of Convective Heat Transfer in a Vertical Porous Channel Using a Non-Equilibrium Model

Numerical and Experimental Study of Convective Heat Transfer in a Vertical Porous Channel Using a Non-Equilibrium Model

Experimental study of the dynamic behaviour of a porous medium submitted to a wall heat flux in view of thermal energy storage by sensible heat

Natural Convection Gas Transport in Porous Media

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