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Heat Transfer Research

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ISSN Print: 1064-2285

ISSN Online: 2162-6561

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INVESTIGATING THE NATURAL CONVECTION HEAT TRANSFER FROM TWO ELLIPTIC CYLINDERS IN A CLOSED CAVITY AT DIFFERENT CYLINDER SPACINGS

Volume 43, Issue 3, 2012, pp. 259-284
DOI: 10.1615/HeatTransRes.2012002036
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ABSTRACT

A numerical investigation is presented to survey the laminar natural convection heat transfer around two elliptic cylinders with different vertical spacings relative to each other in a closed cavity. The numerical model used in this paper is based on a 2D Navier-Stokes incompressible flow momentum and energy equations solver on an unstructured grid. Discretization of the governing equations that include the continuity, momentum, and energy equations is achieved through a finite element scheme based on the Characteristic Based Split (CBS) algorithm. The working fluid is assigned a Prandtl number of 0.71 (air) and assumed to be incompressible with constant physical properties. The radiation, viscous dissipation, and pressure work are also assumed to be negligible throughout this investigation. Fluid flow and heat transfer characteristics are examined in the range of the Rayleigh number, cylinders spacing, and cylinders' orientation such that: 103 ≤ Ra ≤ 106, 1 ≤ s/a ≤ 4, and b/a = 0.67, 1.5. It is also assumed that cylinders' location can be changed vertically along the square cavity centerline. The local and average Nusselt numbers streamlines, and isotherms are presented for various relevant dimensionless groups. The obtained results reveal that the Rayleigh number and cylinders' position would change magnitude and patterns of streamlines and isotherms.

CITED BY
  1. Chen Hong-Long, Wang Chi-Chuan, Analytical analysis and experimental verification of interleaved parallelogram heat sink, Applied Thermal Engineering, 112, 2017. Crossref

  2. El Moutaouakil L., Zrikem Z., Abdelbaki A., Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure, Mathematical Problems in Engineering, 2017, 2017. Crossref

  3. Aghaei Alireza, Sheikhzadeh Ghanbar Ali, Goodarzi Marjan, Hasani Hossein, Damirchi Hadi, Afrand Masoud, Effect of horizontal and vertical elliptic baffles inside an enclosure on the mixed convection of a MWCNTs-water nanofluid and its entropy generation, The European Physical Journal Plus, 133, 11, 2018. Crossref

  4. Al-Rashed Abdullah A. A. A., Sheikhzadeh Ghanbar Ali, Aghaei Alireza, Monfared Farhad, Shahsavar Amin, Afrand Masoud, Effect of a porous medium on flow and mixed convection heat transfer of nanofluids with variable properties in a trapezoidal enclosure, Journal of Thermal Analysis and Calorimetry, 139, 1, 2020. Crossref

  5. Torkfar A., Noori Rahim Abadi S. M. A., Ahmadpour A., Natural Convection Heat Transfer of Non-Newtonian Power-Law Fluids Within an Array of Elliptic Cylinders, Journal of Fluids Engineering, 142, 1, 2020. Crossref

  6. Kravets Elena, Determining the structure of a laminar detachable current in an open cavity, Eastern-European Journal of Enterprise Technologies, 6, 8 (102), 2019. Crossref

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