Effect of Periodicity of Non-Uniform Sinusoidal Side Heating on Natural Convection in an Anisotropic Porous-Enclosure

Abstract:

A comprehensive numerical study on the natural convection in a hydrodynamically anisotropic as well as isotropic porous enclosure is presented, flow is induced by non uniform sinusoidal heating of the right wall of the enclosure. The principal directions of the permeability tensor has been taken oblique to the gravity vector. The spectral Element method has been adopted to solve numerically the governing differential equations by using the vorticity-stream-function approach. The results are presented in terms of stream function, temperature profile and Nusselt number. The result show that the maximum heat transfer takes place at y = 1.5 when N is odd.. Also, increasing media permeability, by changing K* = 1 to K* = 0.2, increases heat transfer rate at below and above right corner of the enclosure. Furthermore, for the all values of N, profiles of local Nusselt number (Nuy) in isotropic as well as anisotropic media are similar, but for even values of N differ slightly at N = 2.. In particular the present analysis shows that, different periodicity (N) of temperature boundary condition has the significant effect on the flow pattern and consequently on the local heat transfer phenomena.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 1613-1618
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.1613
• Online since: October 2011
• Authors: S. Kapoor, P. Bera
• Keywords: Anisotropic Porous Media, Natural Convection, Non-Uniform Heating, Periodicity, SEM

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[11] Manish kr Khandelwal., P. Bera., Influence of non-uniform sinusoidal periodic bottom boundary condition on natural convection in an isotropic porous media [Accepted for the publication in MIMT 2011 held in 26-28 Feb 2011in singapur] Fig 1 Schematic model of physical problem Fig 2 (a)-(b) local heat transfer rate at the right side wall of the enclosure for different periodicity parameter (N) for isotopic and anisotropic cases when RaDa = 50. Fig 3 Influence of odd values of N on the pattern of streamlines; [ (a) -(c) ] isotropic.

DOI: 10.4028/www.scientific.net/amm.110-116.1576