Numerical Simulation on Mixed Convection in a Square Lid-Driven Cavity Provided with a Vertical Porous Layer of Finite Thickness


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Abstract


The purpose of the paper is to study the steady mixed convection in a square lid-driven cavity  provided with a vertical porous layer of finite thickness. The porous layer is assumed to be homogeneous, isotropic, and saturated with incompressible Newtonian fluid. The transport equations are solved using the finite volume method. The SIMPLE algorithm is used to solve the coupled system of governing equations. The power law differencing scheme is used for the formulation of the convection contribution to the coefficients in the finite-volume equations. Central differencing scheme is used to discretize the diffusion terms. The flow parameters for the problem are the permeability of the porous layer and the Grashof number. The results show that the local Nusselt number at the right hot wall (Nu Hot) increases with  vertical distance (Y ) for Gr=103 whereas for Gr=104 and 105 it decreases irrespective of Da. It is also observed that for the cases with Gr=104 and 105, Nu Interface displays an increases with  the vertical distance   (Y ) as Da number decreases, contrary to the heat transfer rate at the right hot wall, Nu Hot.
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Keywords


Mixed Convection; Porous Layer; Cavity; Numerical Simulation

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References


D.B. Ingham, I. Pop, Tansport Phenomena in Porous Media (Pergamon, Oxford, Vol. II, 1998).

D.A. Nield, A. Bejan, Convection in Porous Media (2nd edn, Springer, New York, 1999).

K. Vafai, Handbook of Porous Media (Marcel Dekker, New York, Vol. II, 2004).

A. Bejan, A.D. Kraus, Heat Transfer Handbook (Wiley, New York, 2003).

K.M. Khanafer, and A.J. Chamkha, Mixed Convection Flow in a Lid-Driven Enclosure Filled with a Fluid-Saturated Porous Medium, International Journal of Heat and Mass Transfer, Vol. 42: 2465-2481, 1999.

K.M. Khanafer, and K. Vafai, Double-diffusive Mixed Convection with a Fluid-Saturated Porous Medium, Numerical Heat Transfer, Part A, Vol. 42: 465-486, 2002.

S. Mahmud, and I. Pop, Mixed Convection in a Square Vented Enclosure Filled with a Porous Medium, International Journal of Heat and Mass Transfer, Vol. 49: 2190-2206, 2006.

T. Basak, S. Roy, S.K. Singh, and I. Pop, Analysis of Mixed Convection in a Lid-Driven Porous Square Cavity with Linearly Heated Side Wall(s), International Journal of Heat and Mass Transfer, Vol. 53: 1819-1840, 2010.

E. Vishnuvardhanarao, and M.K. Das, Laminar Mixed Convection in a Parallel Two-Sided Lid-Driven Differentially Heated Square Cavity with a Fluid-Saturated Porous Medium, Numerical Heat Transfer, Part A, Vol. 53: 88-110, 2008.

A. Barletta, and D.A. Nield, Mixed Convection with Viscous Dissipation and Pressure Work in a Lid-Driven Square Enclosure, International Journal of Heat and Mass Transfer, Vol. 52: 4244–4253, 2009.

J.C. Hsieh, T.S. Chen, and B.F. Armaly, Nonsimilarity Solutions for Mixed Convection from Vertical Surface in a Porous Medium-Variable Surface Temperature or Heat Flux, International Journal of Heat and Mass Transfer, Vol. 36: 1485–1493, 1993.

F.C. Lai, and F.A. Kulacki, Non-Darcy Mixed Convection Along a Vertical Wall in a Saturated Porous Media, Journal of Heat Transfer, Vol. 113, 252–255, 1991.

Sidik, N.A.C., Salehi, M., Numerical prediction of mixed convection heat transfer in an enclosure, (2012) International Review on Modelling and Simulations (IREMOS), 5 (3), pp. 1339-1343.

Vosoogh, A., Falahat, A., Vosoogh, R., Improvement thermal power plant efficiency with parametric study, (2011) International Review on Modelling and Simulations (IREMOS), 4 (3), pp. 1383-1388.

Tamrabet, A., Kadem, A., On some numerical methods for the non linear transport equation in 3D. (2011) International Review on Modelling and Simulations (IREMOS), 4 (1), pp. 255-261.

Amirouche, Y., Bessaïh, R., Three-dimensional laminar mixed convection air-cooling of electronic components mounted on a vertical channel wall, (2010) International Review on Modelling and Simulations (IREMOS), 3 (1), pp. 116-123.

S.Larbi, T.Chergui, and A.Bouhdjar, Analysis of Flows Modelling and Energy Performances in solar Chimneys, (2008) International Review on Modelling and Simulations (IREMOS), 1 (1), 220-214.

S.V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere Publication Company, New York, 1980).

Sidik, N.A.C., Salehi, M., Syah, A., Cubic interpolation profile method for transient hydrodynamics of solid particles in enclosure, (2012) International Review of Mechanical Engineering (IREME), 6 (3), pp. 557-564.


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